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

Do we have to write them separately?

  • evinda
  • · Replies 1 ·
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Solve Dispersion Equations: Wave Solutions

  • evinda
  • · Replies 8 ·
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8

Non-linear differential equation

  • evinda
  • · Replies 6 ·
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6

Initial Value Problem for a System of Linear Differential Equations

  • mathmari
  • · Replies 35 ·
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35

Graduate Hyperbolic substitution in KdV equation resolution

  • frank2243
  • · Replies 18 ·
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Graduate Orthogonality relations for Hankel functions

  • Septim
  • · Replies 1 ·
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Graduate Coupled differential equations for charged particles

  • SgrA*
  • · Replies 1 ·
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1

Graduate How Do You Solve L{u(t−2)e3t} Using the Second Shifting Theorem?

  • qwerty123z
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Graduate Is the equation in this context really true?

  • yjc
  • · Replies 2 ·
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What is a velocity field and its relationship to a fluid element's motion?

  • mathmari
  • · Replies 2 ·
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2

Verifying Transport Equation as a Dispersion Equation

  • evinda
  • · Replies 4 ·
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4

Graduate Laplace transform of anti causal systems

  • AbuBekr
  • · Replies 2 ·
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2

Discretising Elliptic PDE: How to Handle Derivatives and Summations?

  • ognik
  • · Replies 7 ·
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7

Graduate Stability condition for solving convection equation by FDM

  • nazmulislam
  • · Replies 4 ·
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4

Graduate Trying to invert an expression

  • Morberticus
  • · Replies 3 ·
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3

Solving the DE for $\phi$: Find $A,B,\phi$.

  • evinda
  • · Replies 6 ·
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Graduate Find the function phi(r,t) given its partial derivatives.

  • stedwards
  • · Replies 2 ·
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2

Maximum principle-Uniqueness of solution

  • mathmari
  • · Replies 1 ·
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1

Graduate Use of Laplace's equation in analytic function theory

  • spaghetti3451
  • · Replies 1 ·
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1

Graduate Physical meaning of KdV equation

  • fian
  • · Replies 7 ·
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7

Undergrad Obtaining Differential and Cumulative Distribution Frequency

  • pid3control
  • · Replies 1 ·
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1

Max Principle: Showing $|u_1-u_2|\leq \max_{\partial{\Omega}}|g_1-g_2|$

  • mathmari
  • · Replies 3 ·
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3

Solving for Complex $x$ in $(x-x^2)(1-x+x^2)^2=\dfrac{1}{7}$

  • anemone
  • · Replies 4 ·
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4

Where does the Fourier series converge?

  • mathmari
  • · Replies 1 ·
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1

How do we get the approximation?

  • evinda
  • · Replies 3 ·
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3

Graduate Solving an eigenvalue equation with boundary conditions

  • spaghetti3451
  • · Replies 4 ·
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4

Graduate Convolution theorem for Laplace Transform proof

  • marksman95
  • · Replies 5 ·
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5

Graduate Solve 1st Order ODE from Transcendental Equation

  • gonadas91
  • · Replies 3 ·
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3

A property of solution of ODE y''+p(x)y=0

  • ipaper
  • · Replies 3 ·
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3

Graduate Solving Laplace's equation in spherical coordinates

  • Happiness
  • · Replies 5 ·
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5

Finding T with Newton's Cooling Law

  • notagenuis
  • · Replies 5 ·
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5

Graduate Jacobi elliptic functions with complex variables

  • karlzr
  • · Replies 1 ·
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1

Graduate 2D Maxwell complex coordinate stretching PML

  • Knaapje
  • · Replies 1 ·
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1

Graduate Solving y=e^{t-t^2/2}: Luck or Methodology?

  • Wxfsa
  • · Replies 8 ·
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8

Integration of separate variables

  • Milly
  • · Replies 3 ·
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3

Graduate Solving PDEPE without boundary conditions? heat transfer

  • kattagiulio
  • · Replies 3 ·
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3

How to Solve $(x^2 + 1)y'' - 6xy' + 10y = 0$ Using Series Methods?

  • shamieh
  • · Replies 17 ·
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17

Use series methods to find the solution corresponding to....

  • shamieh
  • · Replies 4 ·
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4

Finding Eigenvalues, Eigenvectors, [3]

  • shamieh
  • · Replies 17 ·
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17

Solving System of ODEs: Matrix Form, Eigenvalues/Vectors

  • shamieh
  • · Replies 5 ·
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5

Graduate What Are the Differences Between Frep1, Frep2, and Their Magnitudes?

  • Maria88
  • · Replies 3 ·
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Graduate Imposing normalization in numerical solution of of ODE

  • jorgdv
  • · Replies 8 ·
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8

What are the limits of integrals in the energy method for wave equations?

  • mathmari
  • · Replies 1 ·
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1
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Graduate What does the nonlinear and dispersion terms represent in KdV equation?

  • fian
  • · Replies 4 ·
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4

Solve Eigenvalues, Eigenvectors & General Solution for X'=AX

  • shamieh
  • · Replies 17 ·
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17

Graduate Derive gen sol of non-homogeneous DEs through linear algebra

  • Kevin Qi
  • · Replies 2 ·
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2

Graduate How to solve highly oscillating differential equation

  • karlzr
  • · Replies 17 ·
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17

Matrices, Eigenvalues and such...

  • shamieh
  • · Replies 3 ·
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3

Graduate Is there an analytic solution to this system of equations?

  • END
  • · Replies 3 ·
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3

Solving an IVP with Green's Theorem: Wondering?

  • mathmari
  • · Replies 2 ·
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Graduate Derivation of the equations of APF

  • Maria88
  • · Replies 8 ·
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8

Graduate Solving a system of recursive functions

  • Chef Hoovisan
  • · Replies 3 ·
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3

Graduate Optimal Control of Linear-Affine System w/ Constraints

  • manciong
  • · Replies 1 ·
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Solving optimum Bézier approximation of a circle

  • Adlibber
  • · Replies 2 ·
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2

Undergrad Prove cos^2(x)+sin^2(x)=1 using IVP's

  • Shadowl08
  • · Replies 6 ·
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6

Confirm equation for Numerov method

  • ognik
  • · Replies 7 ·
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7

Graduate Finding Solutions for Coupled ODEs with Constant Parameters

  • Bianca123
  • · Replies 13 ·
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13

Undergrad Trivial solution for cosh(x)=0 and sinh(x)=0

  • ksukhin
  • · Replies 2 ·
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2

Graduate Is the Solution sin(t)H(t) for SHO a Particular Solution?

  • Coffee_
  • · Replies 5 ·
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5

Graduate This is regarding difference equations and their solutions

  • manjuvenamma
  • · Replies 1 ·
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1

Graduate Understanding coupled Runga Kutta derivation

  • ognik
  • · Replies 17 ·
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17

Reversing recurrence relationships

  • ognik
  • · Replies 1 ·
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1

Graduate Variational solutions to non-linear ODE

  • member 428835
  • · Replies 9 ·
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9

Graduate How to Solve a Shooting Method Problem with Specific Boundary Conditions?

  • electronic engineer
  • · Replies 16 ·
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16

Undergrad How Can I Understand Rotor and Partial Derivatives in Multivariable Functions?

  • Bruneleski
  • · Replies 3 ·
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Undergrad Harmonic oscillator shifted origin

  • Runei
  • · Replies 1 ·
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1

Find the general solution of the problem

  • mathmari
  • · Replies 4 ·
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4

Yes, that is the correct answer. Good job!

  • shamieh
  • · Replies 4 ·
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4

Finding the general solution of the given D.E.

  • shamieh
  • · Replies 6 ·
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6

How can I solve this LaPlace Transform using Laplace Transforms?

  • shamieh
  • · Replies 2 ·
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2

Graduate Solve Curveball Modeling Using Runge-Kutta4

  • ryankunzzz
  • · Replies 8 ·
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8

Finding Eigenvalues for the Heat Equation: A Step-by-Step Approach

  • mathmari
  • · Replies 12 ·
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12

Did I Apply Laplace Transforms Correctly?

  • shamieh
  • · Replies 1 ·
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1

Write the piecewise function in terms of unit step functions.

  • shamieh
  • · Replies 1 ·
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1

Use Variation of Parameters to find a particular solution

  • shamieh
  • · Replies 4 ·
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4

Verify My IVP Help Appreciated!

  • shamieh
  • · Replies 6 ·
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6

Graduate General Solution of a Poisson Equation (maybe difficult)

  • tim9000
  • · Replies 4 ·
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4

How Do You Solve a Simple Pendulum's Equation of Motion?

  • topsquark
  • · Replies 2 ·
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2

Is My Work Correct for These Particular Solutions?

  • shamieh
  • · Replies 1 ·
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1
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3

Finding constants C and k in exponential function y=Ce^(kt)

  • qtheory
  • · Replies 2 ·
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2

Graduate Poisson PDE in polar coordinates with FDM

  • kicsicsibe
  • · Replies 2 ·
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2

Undergrad How to Effectively Solve for the Particular Solution in Differential Equations?

  • joker2014
  • · Replies 2 ·
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2

Graduate How to deal with this equation involving a plus/minus term

  • Dixanadu
  • · Replies 1 ·
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1

Graduate Can the Laplace Inverse be Applied to Divided Transfer Functions?

  • Chacabucogod
  • · Replies 1 ·
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1

Graduate How can I solve two related non-linear equations using EDP finite volume method?

  • zaynab
  • · Replies 1 ·
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1

Graduate Why Should T(t) Go to Zero as t → ∞ in Heat Diffusion Problems?

  • Husaaved
  • · Replies 2 ·
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2

Undergrad Solving Power Series Problems: Finding 2 Solutions

  • joker2014
  • · Replies 2 ·
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2

Graduate Using the D operator without true understanding.

  • Matternot
  • · Replies 4 ·
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4

Graduate Finding Solutions to Differential Equations with Constant Coefficients

  • azzaz
  • · Replies 1 ·
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1

Graduate Find the best T(t) from a differential eq. and conditions

  • simplex1
  • · Replies 7 ·
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7

Graduate Finite difference method nonlinear PDE

  • Last-cloud
  • · Replies 2 ·
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2

Graduate Are there closed curve solutions for these ODE constraints?

  • MisterX
  • · Replies 5 ·
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5

Undergrad Simple Laplace transform question

  • iScience
  • · Replies 1 ·
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1

Graduate Assuming separability when solving for a Green's Function

  • Exp HP
  • · Replies 6 ·
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6

Undergrad Finding the undamped natural frequency of 2nd order system

  • engnrshyckh
  • · Replies 11 ·
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11

What Does the Wave Function Reveal About k and ω?

  • evinda
  • · Replies 6 ·
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6