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

Undergrad What is the difference between differential equations and functions?

  • awholenumber
  • · Replies 8 ·
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8

Undergrad How to Approach Solving 2y+(y')^2+ax^b=0?

  • depizixuri
  • · Replies 10 ·
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10

Graduate Numerical solution of two coupled nonlinear PDEs

  • ShayanJ
  • · Replies 8 ·
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8

Undergrad Diagonalising a system of differential equations

  • Frank Castle
  • · Replies 5 ·
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5

High School A few differential equation questions

  • awholenumber
  • · Replies 19 ·
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19

Undergrad Change of variable (2nd order ODE)

  • TheCanadian
  • · Replies 8 ·
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8

Undergrad Verifying solution to falling object with air resistance

  • sleepwalker27
  • · Replies 5 ·
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5

How to Solve a Separable Equation with Initial Condition u(0)=6?

  • jahrens
  • · Replies 2 ·
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2

Graduate Can Estimation of a Function Determine Exponential Decay for Vector-Functions?

  • wrobel
  • · Replies 2 ·
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2

High School Where is the best place to put the arbitrary constant?

  • funlord
  • · Replies 2 ·
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2

High School Bessel Function of 1st and 2nd Kind

  • wasi-uz-zaman
  • · Replies 1 ·
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1

High School System of differential equations Basic question

  • dumbdumNotSmart
  • · Replies 3 ·
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3

Undergrad Solving u_x=(sin(x))*(u) in Fourier space

  • vector_problems
  • · Replies 4 ·
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4

Undergrad Is this general solution correct?

  • xavier777
  • · Replies 3 ·
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3

Undergrad How to prove this equation from the first attachment

  • funlord
  • · Replies 2 ·
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2

Solving for Common Root in $(1)$ and $(2)$

  • Albert1
  • · Replies 1 ·
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1

Showing Superposition: u(x, t) Equation

  • jmorgan
  • · Replies 2 ·
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2
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4

Graduate Valve closure boundary condition

  • rppearso
  • · Replies 1 ·
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1

High School How to start learning differential equations

  • awholenumber
  • · Replies 13 ·
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13

Insights Solving Homogeneous Linear ODEs using Annihilators - Comments

  • Mark44
  • · Replies 8 ·
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8

Repulsive force equation of motion for particle approaching O

  • markosheehan
  • · Replies 8 ·
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8

Undergrad Laplace transform to solve a nonhomogeneous equation

  • victor77
  • · Replies 3 ·
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3
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6

Graduate Solving a Boundary Value Problem: Proving u(x) < 0

  • matematikawan
  • · Replies 7 ·
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7

Boundary Value Problem: Does it Have a Solution?

  • evinda
  • · Replies 4 ·
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4

Graduate Is there an analytical solution to the following problem?

  • deepakphysics
  • · Replies 20 ·
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20

Graduate Extrapolation technique removing sample rate dependence

  • lostinphysics44
  • · Replies 9 ·
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9

Undergrad Finding Green function boundary conditions at the discontinuity

  • Summer95
  • · Replies 6 ·
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6

Undergrad What is the notation for referencing an ODE with different parameter values?

  • member 428835
  • · Replies 3 ·
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3

Undergrad How Do You Derive the Cosine of an Integral in Pendulum Motion?

  • Andreas C
  • · Replies 30 ·
2
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30

Graduate How to Solve the Laplace Equation on a Trapezoid?

  • MatPhy
  • · Replies 7 ·
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7

Undergrad How to find the inverse of an integral transform?

  • hyurnat4
  • · Replies 1 ·
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1

Undergrad What happens if you divide by a differential?

  • elements
  • · Replies 1 ·
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1

Undergrad What is the derivative of a matrix transpose?

  • dynamicskillingme
  • · Replies 2 ·
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2

Undergrad Enforcing boundary conditions in FTCS numerical integration of PDEs

  • davidbenari
  • · Replies 5 ·
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5

Undergrad Is there an encyclopedia of DE that accepts solutions?

  • jonjacson
  • · Replies 11 ·
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11

Undergrad Curl from requiring invariance under inertial coordinate changes

  • powerof
  • · Replies 4 ·
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4

Graduate Nonhomogeneous second order nonlinear differential equations

  • Elmira1
  • · Replies 4 ·
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4

Graduate Variation of Parameters for System of 1st order ODE

  • hotvette
  • · Replies 1 ·
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1

High School Complex Replacement: Justification?

  • adamjts
  • · Replies 1 ·
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1

Undergrad Is the gamma function similar to the Dirac or Heaviside functions?

  • rmiller70015
  • · Replies 1 ·
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1

Undergrad Non-homogeneous systems with repeated eigenvalues

  • faradayscat
  • · Replies 1 ·
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1

Graduate Why Are Hilbert Space Embeddings Used in FEM Eigenvalue Approximation?

  • SqueeSpleen
  • · Replies 2 ·
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2

Express $a_n$ in $n$: Recursive Formula

  • Albert1
  • · Replies 2 ·
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2

Undergrad Fourier transform of Dirac delta

  • spacetimedude
  • · Replies 3 ·
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3

Undergrad Does the Laplace Transform Exist for tanh(x)?

  • MAGNIBORO
  • · Replies 1 ·
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1

Undergrad 3rd order motion profile programming ("sinusoidal")

  • Dominik Tugend
  • · Replies 5 ·
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5

Undergrad Solution to PDEs via Fourier transform

  • Frank Castle
  • · Replies 12 ·
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12

Undergrad What are the Laplace transforms of powers of y?

  • space-time
  • · Replies 5 ·
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5

Undergrad Fundamental solutions and fundamental matrices

  • faradayscat
  • · Replies 1 ·
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1

Laplace transform inverse for RC circuit differential equation

  • Sophie1
  • · Replies 5 ·
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5

Damped spring differental equation

  • jblakes
  • · Replies 19 ·
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19

Turning 2nd order into 1st order

  • WelshDave
  • · Replies 3 ·
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3

Undergrad Why is dr/dz+z^2=0 classified as non-homogeneous?

  • Petra de Ruyter
  • · Replies 6 ·
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6

Undergrad Why does (y-x)dx+(4xy)dy=0 give 4xyy'+y=x not 4xy'+y=x?

  • deltapapazulu
  • · Replies 1 ·
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1

Orthogonal trajectory of x² + y² = cx³

  • Pull and Twist
  • · Replies 2 ·
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2

Graduate Verifying My Solution to an EDP: Agree or Disagree?

  • Carmen_8
  • · Replies 1 ·
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1

Graduate Boundary Value Problem Requiring Quarterwave Symmetry

  • TheJfactors
  • · Replies 1 ·
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1

Graduate Is y(x) Identically Zero in This ODE Given Specific Initial Conditions?

  • LagrangeEuler
  • · Replies 3 ·
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3

Graduate Functions with "antisymmetric partial"

  • economicsnerd
  • · Replies 6 ·
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6

Graduate Div(gradΦ): Solve 3y12+2y22-3y1y32

  • kezzstar
  • · Replies 4 ·
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4

What issues can arise when solving ODEs numerically?

  • Theia
  • · Replies 4 ·
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4

Undergrad 4th order Runge-Kutta with system of coupled 2nd order ode motion equations

  • noelll
  • · Replies 14 ·
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14

Graduate Mathematics background needed for PhD in stochastic stability and control

  • OrangeDog
  • · Replies 5 ·
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5

Solution of the problem in interlaced form

  • mathmari
  • · Replies 2 ·
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2

Graduate Is it possible to solve this differential equation?

  • Donghyun Kim
  • · Replies 2 ·
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2

General solution to y'''−2y''+y'=e^x

  • mathmari
  • · Replies 2 ·
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2

Undergrad Solving Navier-Stokes and energy equations with mixed coordinate systems

  • shevir1
  • · Replies 2 ·
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2

Undergrad Source of eigenvalue conditions in spherical Laplacian solution

  • Sum Guy
  • · Replies 1 ·
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1

High School How to Determine a(x) for Integrating Any e^f(x)?

  • Bounceback
  • · Replies 15 ·
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15

Undergrad Why does the amplitude of an undamped driven oscillator not vary with time?

  • adamjts
  • · Replies 3 ·
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3

Undergrad Find Y(s)/X(s) for y(t) = u(t - a).x(t)

  • Debdut
  • · Replies 3 ·
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3

Parametric representation of a line

  • brunette15
  • · Replies 2 ·
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2

Undergrad Sturm-Liouville Problem, boundary condition

  • kidsasd987
  • · Replies 1 ·
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1

Undergrad How to prove the curl curl of a vector?

  • shedrick94
  • · Replies 4 ·
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4

Undergrad Are the derivatives of eigenfunctions orthogonal?

  • ajtgraves
  • · Replies 7 ·
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7

Undergrad F'(n) = f(n) in discrete calculus

  • Bruno Tolentino
  • · Replies 2 ·
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2

Field lines of F(x, y, z) = yi − xj + k

  • brunette15
  • · Replies 2 ·
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2

Field lines of 3D vector functions

  • brunette15
  • · Replies 2 ·
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2

Undergrad Heaviside's Operational Calculus and Laplace Transform

  • Julano
  • · Replies 1 ·
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1

Undergrad Simplifying Summation Algebra with Differential Equations

  • crazycool2
  • · Replies 3 ·
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3

Graduate What is the significance of the constant m in the Hermite differential equation?

  • Mrinmoy Naskar
  • · Replies 5 ·
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5

Emad's question via email about Inverse Laplace Transform

  • Prove It
  • · Replies 1 ·
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1

Understanding Support of Convolution: Does the Equality Hold?

  • evinda
  • · Replies 2 ·
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2

Undergrad How do you integrate a separable differential equation to get a closed form?

  • rnielsen25
  • · Replies 10 ·
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10

Graduate Nonlinear first order Differential equation

  • say_cheese
  • · Replies 8 ·
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8

Undergrad Conceptual Question: Vector-Matrix Differential Equation

  • adamjts
  • · Replies 1 ·
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1

Graduate What Are the Latest Trends and Challenges in Nonlinear PDEs for Cancer Research?

  • Domenico94
  • · Replies 5 ·
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5

Undergrad Why Is u=y/x Treated as a Function of x Alone in ODE Differentiation?

  • KT KIM
  • · Replies 1 ·
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1

System of differential equations involving matrices

  • Guest2
  • · Replies 4 ·
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4

Undergrad How Do You Calculate the Dissolution Time of a Corroding Metal Sphere?

  • johnsonb.engr
  • · Replies 3 ·
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3

Undergrad Interpreting the Sine Integral in Physics

  • stevendaryl
  • · Replies 5 ·
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5

Graduate Separating the Dirac Delta function in spherical coordinates

  • jcm
  • · Replies 11 ·
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11

Graduate Obtain parameter derivatives solving PDE

  • msanx2
  • · Replies 6 ·
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6

Undergrad Limit of spherical bessel function of the second kind

  • Mr. Rho
  • · Replies 6 ·
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6

Graduate Differential Equations not solvable

  • bubblewrap
  • · Replies 5 ·
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5
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1

Graduate Why does h = h(x,y,θ,φ) prevent (1.39) from being an exact differential?

  • Happiness
  • · Replies 1 ·
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1

Graduate Solving A f''(x) + B f'(x) + Ce^{igx}f(x) = 0

  • maNoFchangE
  • · Replies 9 ·
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9