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 Can someone walk me through solving a PDE numerically?

  • cmkluza
  • · Replies 12 ·
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12

Graduate Whittaker's solution and separable variables

  • matt_crouch
  • · Replies 4 ·
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4

Graduate Understanding the method of Green's function

  • alivedude
  • · Replies 2 ·
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2

Proving $\int_{\mathbb{R}^3}\Delta G(x,y)dx=1$ with Gauss's Theorem

  • evinda
  • · Replies 1 ·
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1

Graduate Characteristic equation for recurrence equation

  • Bruno Tolentino
  • · Replies 3 ·
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3

Put the 2D nonlinear system into Polar Coordinates

  • Krish23
  • · Replies 1 ·
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1

Undergrad Differentiating an exponential with a complex exponent

  • Zacarias Nason
  • · Replies 7 ·
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7

Graduate How to graph the duffing frequency response

  • Takuza
  • · Replies 1 ·
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1

Graduate Equations with dependent variable missing

  • Joseph1739
  • · Replies 3 ·
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3

Graduate Solution for f(n) in recurrence equation

  • Bruno Tolentino
  • · Replies 1 ·
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1

Graduate Is There a Rigorous Method to Regularize Green's Functions in Coordinate Space?

  • Einj
  • · Replies 1 ·
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1

Graduate Differential equation help

  • theone
  • · Replies 4 ·
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4

Graduate A question on Laplace transform

  • Debdut
  • · Replies 3 ·
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3

Graduate Solve Difference Equation: ΔP = e^P

  • Cyrus
  • · Replies 9 ·
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9

Undergrad Why is differential equation equal to sum of partials?

  • cmkluza
  • · Replies 6 ·
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6

Undergrad Investigating the Behavior of a Diff. Eq. w/ Constant K & W

  • David Donald
  • · Replies 2 ·
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2

Undergrad Attempting to model traffic flow after front car decelerates

  • cmkluza
  • · Replies 6 ·
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6

Graduate Basic question about certain second order PDE's

  • lavinia
  • · Replies 2 ·
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2

Graduate Am I expanding e^ix incorrectly?

  • sa1988
  • · Replies 9 ·
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9

Graduate What are the limitations of using electrical circuits to solve PDEs?

  • Domenico94
  • · Replies 9 ·
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9

Graduate Question about multiple functions for a first order ODE

  • ArenasField
  • · Replies 1 ·
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1

Undergrad Classifying second-order Partial differential equations

  • hellomrrobot
  • · Replies 3 ·
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3

Graduate Vertical diffusion in EPIC GCM

  • rc_nmt
  • · Replies 10 ·
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10

Graduate Solving Diff Eqns: Renaming Constants & Reversing Signs

  • Joseph1739
  • · Replies 2 ·
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2

Initial vertical velocity (vertical motion)

  • averyjedwards2
  • · Replies 1 ·
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1

Undergrad Solving dy/dt = 0: Chain Rule & y(t)

  • Joseph1739
  • · Replies 8 ·
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8

Creating a 4D System with a Specific Solution: How Can It Be Done?

  • sawdee
  • · Replies 4 ·
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4

Graduate Wronskian and two solutions being independent

  • bubblewrap
  • · Replies 9 ·
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9

Graduate Solving First-Order PDE: Explaining Basics

  • ahmed markhoos
  • · Replies 6 ·
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6

Graduate Is the Half Step Scheme Truly TVD? Help Needed to Prove It

  • martizzle
  • · Replies 3 ·
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3

Undergrad Differentiatial equation

  • TimeRip496
  • · Replies 6 ·
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6

Solving Second Order ODE: True or False?

  • Guest2
  • · Replies 2 ·
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2
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1

Undergrad How do you actually calculate this....?

  • SansaStark
  • · Replies 8 ·
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8

Graduate Variation of parameters - i have different particular soluti

  • omar yahia
  • · Replies 3 ·
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3

Logarithm + Nepper's number Exercise

  • Velo
  • · Replies 4 ·
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4

Graduate Brainstorm Ideas for Project - Get Suggestions on Differential Equations

  • faradayscat
  • · Replies 5 ·
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5

Graduate Special Second Order Ordinary Diff. Equation

  • Andreol263
  • · Replies 3 ·
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3

Undergrad Why differential equations? When to use them?

  • Pulik
  • · Replies 11 ·
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11

What is the mistake in this supposed proof?

  • evinda
  • · Replies 5 ·
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5

Undergrad Equation for underdamped harmonic motion

  • pinkcashmere
  • · Replies 2 ·
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2

How do we get the imaginary part?

  • evinda
  • · Replies 4 ·
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4

Undergrad A solved 2nd order ODE that i don't understand its solution

  • omar yahia
  • · Replies 7 ·
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7

Graduate Does Integration Scheme Choice Matter for Initial Demo of Crane Control?

  • observer1
  • · Replies 6 ·
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6

Graduate Green's function in elliptic box

  • Einj
  • · Replies 4 ·
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4

Graduate Solving the 3D Diffusion Equation with Fourier Spectral Techniques

  • johnnyTransform
  • · Replies 2 ·
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2

Undergrad Why 2nd order differential equation has two solutions

  • goodphy
  • · Replies 4 ·
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4

Graduate Need help understanding an aspect of undetermined coeff's

  • kostoglotov
  • · Replies 1 ·
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1

Graduate Transfer function with non zero initial conditions

  • Wesker
  • · Replies 1 ·
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1

Graduate Fitting data to complicated model

  • yumyumyum
  • · Replies 5 ·
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5

Graduate Numerical solution of non-linear diffusion equation

  • maka89
  • · Replies 11 ·
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11

How do I apply the Frobenius method to solve Hermite's ODE?

  • ognik
  • · Replies 1 ·
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1

Graduate Axial/Longitudinal Vibrations in beams

  • Runei
  • · Replies 20 ·
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20

Graduate Quick question about method of Frobenius

  • TroyElliott
  • · Replies 2 ·
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2

How do we deduce that there is such a point?

  • evinda
  • · Replies 2 ·
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2

Undergrad What are differential equations good for?

  • INTP_ty
  • · Replies 2 ·
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2
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1

Find Ansatz for this ODE (3.5.15)

  • ognik
  • · Replies 2 ·
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2

Please check this particular solution excercise

  • ognik
  • · Replies 3 ·
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3

Graduate Bungee jump -> differential equation -> simulink simulation

  • Wesker
  • · Replies 2 ·
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2

Help with ODE initial conditions

  • ognik
  • · Replies 2 ·
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2
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7

Please check Laguerre's eqtn solution

  • ognik
  • · Replies 5 ·
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5

Graduate Do these two partial derivatives equal each other?

  • thegirl
  • · Replies 4 ·
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4

Graduate Taylor expansion with multi variables

  • bubblewrap
  • · Replies 5 ·
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5

Solving a Difficult DE with TI-NSPIRE: Is it True?

  • karush
  • · Replies 2 ·
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2

Undergrad Need help interpreting the Wronskian

  • kostoglotov
  • · Replies 1 ·
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1

Graduate Soln space basis for all constant coeff homo linear DE's?

  • kostoglotov
  • · Replies 1 ·
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1

Solve for $a^2$ in $u_{xx} = u_{tt}$ using $u_1$ and $u_2$

  • karush
  • · Replies 5 ·
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5

Undergrad How do differential equations relate to traffic flow?

  • cmkluza
  • · Replies 5 ·
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5

Graduate Question on proper technique for solving this equation

  • redtree
  • · Replies 2 ·
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2

Undergrad First Order Differential Equation

  • santeria13
  • · Replies 4 ·
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4

Differential equation y/(x^2+y^2)

  • Nikolas7
  • · Replies 4 ·
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4

Solve the differential equation

  • Nikolas7
  • · Replies 6 ·
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6

Verifying Solution: U(x, y) = cos(x) cosh(y) for PDE U_xx + U_yy = 0

  • karush
  • · Replies 5 ·
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5

Graduate Solving Second Order Linear Diff Eqns: Proving Theorems & More

  • anachin6000
  • · Replies 5 ·
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5

-b.1.3.21-24 Order and linear or nonlinear

  • karush
  • · Replies 6 ·
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6

Undergrad Understanding some unfamiliar words

  • mr.tea
  • · Replies 6 ·
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6

Graduate Why Must B Approach Zero in Cauchy-Euler ODE Solutions at x=0?

  • Andreol263
  • · Replies 4 ·
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4

Graduate A Holder space is a Banach space

  • Domenico94
  • · Replies 12 ·
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12

Are There Complex Solutions for a 2nd Order ODE?

  • ognik
  • · Replies 4 ·
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4

What are the different types and stabilities of critical points?

  • ineedhelpnow
  • · Replies 3 ·
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3

Higher power constant coefficiants ODEs

  • ognik
  • · Replies 2 ·
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2

Finding Solutions for $y'=Ay$ with Vector and Matrix Components

  • ineedhelpnow
  • · Replies 7 ·
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7

Method of undetermined coefficients

  • ineedhelpnow
  • · Replies 9 ·
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9

How to Find a General Solution Using Variation of Parameters?

  • ineedhelpnow
  • · Replies 2 ·
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2

Undergrad Can All Differential Equations Be Separated?

  • whatisreality
  • · Replies 10 ·
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10

Approximating Equations for Unknowns: How to Justify the Form of $U_0$?

  • evinda
  • · Replies 5 ·
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5

Solutions to Linear Diff. Eq. of 1st Order in a Ring?

  • mathmari
  • · Replies 3 ·
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3

Insights Solving Nonhomogeneous Linear ODEs using Annihilators - Comments

  • Mark44
  • · Replies 5 ·
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5

Undergrad Linear First-Order Differential Equation

  • DiamondV
  • · Replies 3 ·
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3

Graduate Solving a PDE w/ given boundary and initial conditions

  • TheCanadian
  • · Replies 5 ·
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5

Graduate Failure to see the validity of an approximation to DiffEq.

  • davidbenari
  • · Replies 3 ·
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3

Graduate How Does Laplace Transform Solve the Harmonic Motion Differential Equation?

  • Jim wah
  • · Replies 2 ·
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2

System of differential equations

  • mathmari
  • · Replies 5 ·
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5

Are Unique Solutions Possible for Homogeneous Equations?

  • mathmari
  • · Replies 1 ·
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1

Graduate Finite-element solution of Sturm-Liouville problem

  • leon_avery
  • · Replies 2 ·
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2

Fourier Transforms: Theory & Applications

  • arrow27
  • · Replies 1 ·
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1

Undergrad How to Solve for s1 | Experts' Guide

  • shayaan_musta
  • · Replies 4 ·
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4

Graduate Find the approximate linear ODE system

  • NiallBucks
  • · Replies 6 ·
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6