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

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8

Undergrad How did the author transform the original equation into the Legendre equation?

  • Thomas Michael
  • · Replies 4 ·
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4

High School Real world applications of differential equations

  • greg_rack
  • · Replies 5 ·
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5

How Can You Transform and Solve This System of Equations?

  • karush
  • · Replies 4 ·
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4

Solve IVP: 3.4.5.5 | Eigenvectors Found

  • karush
  • · Replies 2 ·
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2

Undergrad How is Euler's Identity proven using differential equations?

  • ILoveParticlePhysics
  • · Replies 3 ·
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3

Graduate Is a solution of a differential equation a function of its parameters?

  • Meaning
  • · Replies 3 ·
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3
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1

-1.5.7.9 find gereral solution to DE

  • karush
  • · Replies 4 ·
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4

How Do You Solve the Initial Value Problem $y'+5y=0$ with $y(0)=2$?

  • karush
  • · Replies 3 ·
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3

-1.8.17 initial value then find C

  • karush
  • · Replies 11 ·
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11

Undergrad 9-point Laplacian stencil derivation

  • NicolaiTheDane
  • · Replies 12 ·
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12

Graduate Implementing FDM Boundary Conditions at a Red Point

  • Hosein Javanmardi
  • · Replies 9 ·
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9

Undergrad Solving BVP with Analytical Solution in (0,1)^2

  • ty1998
  • · Replies 5 ·
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5

Understanding O(h): Examining Functions with h as an Input

  • lemonthree
  • · Replies 6 ·
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6

Undergrad Why is this differential equation non-linear?

  • PainterGuy
  • · Replies 12 ·
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12

Undergrad Solving Recursive Equations: Logistic Equation

  • fog37
  • · Replies 19 ·
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19

Graduate Solution of nonhomogeneous heat equation problem

  • Shackleford
  • · Replies 6 ·
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6

Graduate Example of Ritz method with Bessel functions for trial function

  • member 428835
  • · Replies 5 ·
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5

Undergrad Solving and manipulating the damped oscillator differential equation

  • Hamiltonian
  • · Replies 6 ·
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6

Graduate Causality in differential equations

  • JTC
  • · Replies 6 ·
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6

Graduate Laplace eq. in cylindrical coordinates and boundary conditions

  • giulianinimat
  • · Replies 2 ·
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2

Undergrad Understanding the change of variables for PDEs

  • Isaac0427
  • · Replies 2 ·
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2

Undergrad An interesting Nonlinear Differential Equation

  • Isaac0427
  • · Replies 12 ·
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12

Graduate How Do You Construct the Chain Rule for Green's Function in Half-Space?

  • Shackleford
  • · Replies 1 ·
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1

Can you solve for y in sin(y) - y = x√(2)?

  • wheepep
  • · Replies 4 ·
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4

Graduate What are the limitations of the Explicit Finite Difference Model?

  • t0mm02
  • · Replies 1 ·
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1

Undergrad What is the relation between stability criterion and time step?

  • t0mm02
  • · Replies 1 ·
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1

Undergrad Computing the Speed of Traveling Waves in 2 Dimensions

  • person123
  • · Replies 10 ·
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10

Undergrad How to solve f'(t) = -t + t^3.f(t)

  • murshid_islam
  • · Replies 5 ·
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5

Undergrad How does one solve Uxx+Uyy+Uzz=C when C is non-zero?

  • sukmeov
  • · Replies 12 ·
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12

Graduate Improper boundary in non-linear ODE (pseudospectral methods)

  • Leonardo Machado
  • · Replies 4 ·
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4

Undergrad How Is the Solution to the Vibration Equation Derived?

  • thaiqi
  • · Replies 14 ·
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14

Undergrad Solving a system of differential equations by elimination

  • polibuda
  • · Replies 4 ·
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4

Undergrad The diffusion equation with time-dependent boundary condition

  • Corribus
  • · Replies 8 ·
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8

Graduate Non linear diff. eq. first order

  • lightarrow
  • · Replies 12 ·
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12

Degree of Freedom: Maths Definition & Differential Equations

  • anum
  • · Replies 1 ·
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1

Undergrad Problem with checking solution by wolframalpha

  • polibuda
  • · Replies 4 ·
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4

Undergrad Heat Wave Equations: Explaining Delta t & x Approach to Zero

  • Kajan thana
  • · Replies 3 ·
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3
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7

Undergrad Deep Learning the new key to nonlinear PDEs?

  • BWV
  • · Replies 2 ·
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2

Undergrad Is it possible to solve such a differential equation?

  • rhcp89
  • · Replies 20 ·
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20

Second-Order Nonlinear Differential Equation

  • sav26
  • · Replies 4 ·
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4

Graduate How Do Auxiliary Equations Simplify Complex Mathematical Problems?

  • parkcman
  • · Replies 1 ·
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1

Undergrad Troubleshooting Calculator Issues: Wolfram & Equation in Photo

  • polibuda
  • · Replies 4 ·
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4

Undergrad Is it possible to solve for “t?”

  • Devin-M
  • · Replies 92 ·
4
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92

Undergrad Justification (or philosophy) of modal analysis

  • Trying2Learn
  • · Replies 3 ·
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3

Graduate Generic Solution of a Coupled System of 2nd Order PDEs

  • derya
  • · Replies 2 ·
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2

-2.4.2 interval of initial value problem

  • karush
  • · Replies 4 ·
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4

Undergrad Using v substitution for first order homogenous DE and constraining solution

  • Mayhem
  • · Replies 4 ·
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4

Undergrad Sure way to convert variable integral to infinite integral?

  • LieToMe
  • · Replies 10 ·
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10

Undergrad Quasilinear Equation but with non-zero initial condition?

  • LieToMe
  • · Replies 3 ·
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3

General Solution of Differential Equation System

  • karush
  • · Replies 4 ·
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4

-b.1.1.2 behavior of y'-2y=-3 as t goes to infinity

  • karush
  • · Replies 3 ·
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3

Undergrad PDEs cracked by Artificial Intelligence at Cal Tech

  • Tom.G
  • · Replies 4 ·
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4

Computation of the ratio of barometric pressure

  • WMDhamnekar
  • · Replies 6 ·
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6

Undergrad Non-linear ODE: initial conditions

  • Arjan82
  • · Replies 4 ·
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4

Undergrad Help - Derivation of Pulsating Star Euler ODE

  • Kajan thana
  • · Replies 3 ·
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3

Undergrad Integrating with the Dirac delta distribution

  • redtree
  • · Replies 9 ·
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9

-b.2.2.1 separate variables y'=\dfrac{x^2}{y}

  • karush
  • · Replies 4 ·
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4

Graduate Solution to an ODE (Leaky Integrate and Fire Neuron Model)

  • madness
  • · Replies 8 ·
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8

Undergrad Why are the numbers switched around in this partial differential problem?

  • Kajan thana
  • · Replies 2 ·
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2

Steady State Question Understanding

  • mt91
  • · Replies 1 ·
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1

Graduate Going to higher degrees to obtain other solutions?

  • jk22
  • · Replies 6 ·
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6

Undergrad Chain Rule and acceleration as a function of two variables

  • fog37
  • · Replies 11 ·
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11

Natural and forced response of a differential equation

  • marcadams267
  • · Replies 1 ·
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1

Undergrad Transforming Cartesian Coordinates in terms of Spherical Harmonics

  • Athenian
  • · Replies 1 ·
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1

Undergrad Did von Neumann coin the eth or dyet for the inexact differential?

  • nomadreid
  • · Replies 6 ·
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6

Graduate Nonlinear Wave Equation (Nonlinear Helmholtz)

  • jgk5141
  • · Replies 1 ·
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1

Undergrad Derive local truncation error for the Improved Euler Method

  • oceanix
  • · Replies 2 ·
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2

How to Solve Laplace Transforms with a Fractional Term?

  • rannasquaer
  • · Replies 4 ·
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4

Graduate How do I express an equation in Polar coordinates as a Cartesian one.

  • JorgeM
  • · Replies 1 ·
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1

Undergrad Assuming boundary conditions when integrating by parts

  • JD_PM
  • · Replies 1 ·
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1

What is the maximum yield for a steady state solution?

  • mt91
  • · Replies 2 ·
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2

Undergrad ODE Solution Question: Comparing A1(r,ε) and A2(r) with ε=0

  • Mentz114
  • · Replies 3 ·
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3

Dirac Delta and Fourier Series

  • rannasquaer
  • · Replies 2 ·
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2

Undergrad Separation of Variables and Integrating over an Interval

  • Mayhem
  • · Replies 3 ·
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3

Undergrad Laplace transform linearity problem

  • Frankenstein19
  • · Replies 2 ·
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2

Undergrad Interpretations of phase space in Dynamical Systems Theory

  • Stephen Tashi
  • · Replies 4 ·
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4

What Are the Two Cases in Calculating Steady States?

  • mt91
  • · Replies 1 ·
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1

Graduate The mathematical definition of "wave"?

  • Stephen Tashi
  • · Replies 61 ·
3
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61

Undergrad What is the nth derivative of this equation?

  • Neothilic
  • · Replies 23 ·
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23

How Do You Solve Differential Equations with Variable Power Terms?

  • Another1
  • · Replies 1 ·
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1

Undergrad The Trapping Region of the Lorenz equations

  • Oliver321
  • · Replies 6 ·
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6

Please give me an idea for Reduction of order

  • Another1
  • · Replies 3 ·
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3

Undergrad Fourier Integral of the Schrodinger Equation

  • Neothilic
  • · Replies 7 ·
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7
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1

Graduate Solving a differential equation with two unknowns

  • Muhammad Saqlain
  • · Replies 6 ·
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6

High School Gradient of scalar field is zero everywhere given boundary conditions

  • etotheipi
  • · Replies 3 ·
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3

Calculating Null Clines: Tips & Tricks

  • mt91
  • · Replies 2 ·
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2

What Determines the Local Extrema in Dynamical Systems?

  • mt91
  • · Replies 3 ·
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3

-b.2.2.32 First order homogeneous ODE

  • karush
  • · Replies 13 ·
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13

Graduate Separation of variables possible in this problem?

  • DuckAmuck
  • · Replies 3 ·
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3

What is the solution for t when $-0.1143e^{-\frac{2t^2}{3}}= -199$?

  • karush
  • · Replies 5 ·
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5

-b.2.2.26 IVP min value y'=2(1+x)(1+y^2); y(0)=0

  • karush
  • · Replies 3 ·
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3

Graduate Inhomogeneous wave equation: RHS orthogonal to homogeneous solutions

  • ollielgg
  • · Replies 3 ·
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3

Solving an Initial Value Problem Analytically

  • karush
  • · Replies 5 ·
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5

High School Wave equation with a slight alteration

  • etotheipi
  • · Replies 11 ·
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11

Graduate Eigenvalue problem: locating complex eigenvalues via frequency scan

  • member 428835
  • · Replies 13 ·
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13

Graduate Boundary conditions in the time evolution of Spectral Method in PDE

  • Leonardo Machado
  • · Replies 1 ·
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1