Differential Equations Forum

Join in expert discussion on differential equation topics like ODE and PDE. Differential equations are an equation involving derivatives of a function or functions.

Threads

Graduate What are the benefits of studying Fourier series in physics?

  • kundukoustav
  • · Replies 11 ·
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11

Undergrad What is the Laplace Transform of L[y2]?

  • maistral
  • · Replies 26 ·
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26

Graduate Solving Poison's Equation - Method Explanation

  • GarageDweller
  • · Replies 1 ·
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1

Undergrad Solution to nonlinear ODE with radicals

  • davikrehalt
  • · Replies 5 ·
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5

Undergrad System of piecewise differential equations - Where to start?

  • urbanist
  • · Replies 4 ·
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4

Graduate Nonlinear differential equation (Laplace transform?)

  • fnsaceleanu
  • · Replies 7 ·
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7

Radioactive Substance Decay: ~14g Left After 3 Years

  • karush
  • · Replies 2 ·
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2

Differential Equations Tutorial Will Return....Soon

  • Chris L T521
  • · Replies 3 ·
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3

Graduate Solving Non-Homogeneous Poisson Equation: Techniques and Practice Problems

  • ericm1234
  • · Replies 11 ·
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11

Graduate Anyone have any ideas on a technique to tackle this pde

  • Mugged
  • · Replies 1 ·
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1

Graduate Cauchy Euler, non-homogeneous, weird condition

  • ericm1234
  • · Replies 11 ·
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11

Undergrad First Order, Non-Linear DE - Not Seperable

  • Berkshire
  • · Replies 3 ·
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3

Undergrad Differential equation with three variables

  • Nilupa
  • · Replies 5 ·
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5

Graduate Why Can't I Derive the Euler-Lagrange Equation from Local Gradients in F?

  • MadRocketSci2
  • · Replies 1 ·
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1

Is there a proof for the Bessel function of order 1?

  • alexmahone
  • · Replies 1 ·
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1

Graduate Integrating (x - 2xy + e^y) dx for a Constant y_i

  • Nano-Passion
  • · Replies 4 ·
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4

Graduate Phase line problem, my given solution is wrong I believe

  • ericm1234
  • · Replies 5 ·
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5

Undergrad My issue with using eigenfunction expansion for ODEs

  • ericm1234
  • · Replies 12 ·
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12

Graduate Closed form solution heat problem

  • zekeman
  • · Replies 10 ·
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10

Graduate Separation of variables , but for 2nd order

  • ericm1234
  • · Replies 2 ·
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2

Graduate PDE Helmholtz eq. in 3D + boundary value)

  • marqushogas
  • · Replies 2 ·
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2

Really simple, system in equilibrium (weight and tension in light string)

  • furor celtica
  • · Replies 3 ·
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3

Graduate Frobenius Method - Roots differ by integer

  • asras
  • · Replies 1 ·
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1

Graduate Particle motion ode (1st order nonlinear nonhomog)

  • kyze
  • · Replies 6 ·
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6

Graduate Greens functions inspection method

  • center o bass
  • · Replies 2 ·
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2

Solving the General Bernoulli / Riccati Equation

  • crevoise
  • · Replies 7 ·
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7

Graduate Is the Uniqueness of the Laplace Transform Affected by Function Form?

  • asmani
  • · Replies 7 ·
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7

Graduate Inverse Laplace transform with unit step function

  • shaqywacky
  • · Replies 3 ·
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3

Graduate Fundamental Solution to Laplace Equation

  • starzero
  • · Replies 7 ·
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7

Graduate Solving Navier Stoke Problem with 3D Equation and Lubrication Approximation

  • iloc86
  • · Replies 4 ·
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4

Graduate Efficiently Solve PDE Systems: Expert Tips and Solutions | Help Needed

  • L0r3n20
  • · Replies 4 ·
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4

Undergrad What is the Integration Process for a Logistic Equation?

  • nhmllr
  • · Replies 6 ·
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6

Graduate Understanding the Limitations of the Euler Method in Computational Physics

  • spaghetti3451
  • · Replies 1 ·
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1

Integration of a First order for physical application

  • crevoise
  • · Replies 3 ·
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3

Graduate Second ODE, initial conditions are zeros at infinity

  • omyojj
  • · Replies 2 ·
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2

Graduate Linear control ODE - exponential convergence?

  • haluza
  • · Replies 3 ·
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3

Graduate Method of undetermined coefficients, when to raise the guess

  • Uku
  • · Replies 3 ·
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3

Linear ODE for a fundamental solution set

  • rishadjb
  • · Replies 4 ·
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4

Graduate Wave equation with nonhomogenous neumann BC

  • Mugged
  • · Replies 3 ·
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3

Graduate What is the exact form of the zeros of Hermite polynomials?

  • razapocalypse
  • · Replies 1 ·
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1

Undergrad What is the definition of a coefficient

  • vehans
  • · Replies 1 ·
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1

Series Solution for DE to Solving with Zill's Book

  • weber
  • · Replies 5 ·
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5

Graduate Kernel/basis function for multiply connected region

  • coolnessitself
  • · Replies 3 ·
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3

Graduate Variable substitution in Langevin equation and Fokker-Planck equation

  • Tianwu Zang
  • · Replies 2 ·
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2

Graduate How to Decouple a System of 3 Coupled Linear PDEs?

  • vibe3
  • · Replies 1 ·
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1

Graduate Deriving Probability Density Functions from Partial Differential Equations?

  • Annihilator
  • · Replies 7 ·
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7

Graduate Analytical solution to integro-differential equation

  • mbraakhekke
  • · Replies 6 ·
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6

Graduate First-Order Nonlinear ODE from transient heat transfer

  • mafra
  • · Replies 2 ·
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2

Graduate Questions about Legendre Equation

  • AlonsoMcLaren
  • · Replies 1 ·
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1

Graduate Interval Restriction on Solutions to First Order Linear Equation

  • Darren73
  • · Replies 3 ·
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3

Graduate How Do You Solve for Non-Zero Steady States in a Tri-Variable ODE System?

  • toastermm
  • · Replies 5 ·
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5

Graduate Solving for Magnetic Fields from time varying Electric fields

  • GarageDweller
  • · Replies 3 ·
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3

Graduate 1 = 0 <- What goes fundamentally wrong? Delta distribution

  • nonequilibrium
  • · Replies 7 ·
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7

Graduate Question of Galerkins method of weighted residual- the physical meaning

  • svishal03
  • · Replies 5 ·
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5

Undergrad How are differential equations developed

  • JaredPM
  • · Replies 1 ·
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1

Undergrad Domain in Laplace - Physical Explanation

  • aditya23456
  • · Replies 8 ·
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8

Graduate How does DEL(dot)V differ from V(dot)DEL?

  • DrummingAtom
  • · Replies 9 ·
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9

Undergrad Solving Particular Integrals - Hi Folks!

  • strokebow
  • · Replies 8 ·
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8

Graduate Solving Poisson Equation by using FDM

  • samia2008
  • · Replies 6 ·
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6

Undergrad Uniqueness Theorem: Finding region

  • shaqywacky
  • · Replies 3 ·
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3

Graduate Fourier Transform help (bit )

  • benjamince
  • · Replies 4 ·
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4

Graduate Seeking closed form solution of Navier-Stokes for a fluid in an annular space.

  • MudEngineer
  • · Replies 5 ·
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5

Graduate Finding a solution for Relativistic Acceleration

  • Michio Cuckoo
  • · Replies 3 ·
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3

Graduate Solving linear differential equations by factoring

  • Boorglar
  • · Replies 9 ·
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9

Undergrad How do differentials really work?

  • Bipolarity
  • · Replies 9 ·
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9
  • Poll Poll

Graduate Converting dependable variable to independant and vice versa

  • venki_k07
  • · Replies 3 ·
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3

Graduate PDE : Can not solve Helmholtz equation

  • sompongt
  • · Replies 3 ·
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3

Graduate Weird double integral. Please help

  • racnna
  • · Replies 3 ·
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3

Graduate Optimizing Decompression Stop Depth with Partial Derivatives in PDE Simulation

  • rmurray
  • · Replies 2 ·
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2

Graduate How Can I Solve x^2y'' + 2xy' +(2x+1)y = 1 Using Laplace Transforms?

  • atomqwerty
  • · Replies 9 ·
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9

Substitution to solve fourth order diff equation

  • Sudharaka
  • · Replies 1 ·
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1

Graduate Has anybody got a cleaner solution?

  • macilrae
  • · Replies 12 ·
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12

Graduate Cramer's Rule application in differential equations

  • Hiche
  • · Replies 1 ·
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1

Undergrad Is there any book talking about system of 2nd order ODE?

  • ck00
  • · Replies 4 ·
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4

Graduate Analyzing Nonlinear Differential Equations: Do Analytic Solutions Exist?

  • kundukoustav
  • · Replies 1 ·
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1

Graduate Global Errors when solving the Equation of Motion

  • RH10
  • · Replies 1 ·
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1

Graduate Derivative of Dirac Delta function

  • LedPhoton
  • · Replies 5 ·
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5

Graduate Problem with finding the complementary solution of ODE

  • Uku
  • · Replies 3 ·
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3

Graduate A nonlinear difference equation

  • asmani
  • · Replies 10 ·
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10

Get Help with a Reducible DFQ | Beginner's Guide | Online Support

  • lat77
  • · Replies 3 ·
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3

Undergrad Can You Always Factor the Denominator in Partial Fraction Expansion?

  • Runei
  • · Replies 3 ·
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3

Undergrad 2nd Order Homogenous ODE (Two solutions?)

  • Runei
  • · Replies 5 ·
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5

Wave Equation PDE: Help Solve Test Problem

  • Hurry
  • · Replies 1 ·
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1

Graduate Transform of a piecewise continuous function

  • Hiche
  • · Replies 1 ·
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1

Graduate Can Bessel's equation be solved using only Frobenius method?

  • A Malik
  • · Replies 7 ·
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7

Wave equation and weird notation

  • Markov2
  • · Replies 9 ·
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9

Graduate Trying to get exact solution for a nonlinear DE

  • Paalfaal
  • · Replies 3 ·
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3

Graduate How are they differentiating this ODE?

  • JG89
  • · Replies 5 ·
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5

Graduate Taking the inverse laplace of this?

  • Marshillboy
  • · Replies 3 ·
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3

Graduate Coupled Nonlinear Differential Equations

  • Thomas_W
  • · Replies 5 ·
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5

Undergrad Solution of two first order differential equation with one algebraic equation.

  • rickyvery
  • · Replies 2 ·
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2

Graduate Y1 = xe^(rx) and y2 = e^(rx): how y1 was discovered?

  • gnardog777
  • · Replies 2 ·
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2

Graduate Implicit Methods for Drag-Dependent Acceleration in Euler Integration

  • RH10
  • · Replies 2 ·
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2

Graduate Can Euler's Differential Equation Be Solved Using Initial Values?

  • JamesEllison
  • · Replies 13 ·
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13

Maths Mechanics (M1): Calculate Initial Velocity & Acceleration

  • Needhelp2
  • · Replies 2 ·
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2

Undergrad More than N Solutions to Nth Order DE?

  • cocopops12
  • · Replies 3 ·
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3

Graduate Change of variables of differential equation

  • climbon
  • · Replies 1 ·
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1

Undergrad Fundamental- solving a second order differential equation

  • svishal03
  • · Replies 4 ·
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4

Graduate Differential Equations 2 order and objectives

  • layt
  • · Replies 4 ·
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4

Undergrad Dif.eq. with trigonometric functions involving y

  • mausmust
  • · Replies 3 ·
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3