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 Non-homogenous convection equation

  • member 428835
  • · Replies 3 ·
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3

Graduate Lecture notes on Finite Difference Methods

  • the_dane
  • · Replies 1 ·
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1

High School Calculating the dot Product of \nabla and Vector Identity

  • Apashanka
  • · Replies 2 ·
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2

Undergrad Symplectic integrator, non-separable Hamiltonian

  • m4r35n357
  • · Replies 2 ·
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2

Solving wave equation using Fourier Transform

  • spideyjj1
  • · Replies 1 ·
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1

Undergrad How to find force parameters if you know the solution?

  • jonjacson
  • · Replies 2 ·
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2

Graduate How can the stability of an ODE system be determined without solving it?

  • member 428835
  • · Replies 7 ·
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7

What are the orthogonal trajectories of e^{x}(xcosy - ysiny) = c?

  • Asawira Emaan
  • · Replies 4 ·
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4

Undergrad What defines a wave according to the wave equation?

  • FAS1998
  • · Replies 4 ·
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4

Undergrad Solution of the 1D heat equation

  • Betsy
  • · Replies 8 ·
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8

Graduate Basis functions and spanning a solution space

  • member 428835
  • · Replies 2 ·
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2

Undergrad Take a limit in this 2 equation system of 1st order ODEs

  • xxxyyy
  • · Replies 3 ·
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3

Undergrad Heat Equation Problem: Solving c + 3d = 0

  • FAS1998
  • · Replies 2 ·
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2

Solve Degree 2 Polynomial: 10.2 DE Notation Explained

  • karush
  • · Replies 12 ·
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12

Friedrich's Problem 3a: Asymptotic Relation and Exact Solution in ODEs

  • Alone
  • · Replies 3 ·
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3

Graduate Linearization of nonlinear grad(T) in the diffusion equation

  • stockzahn
  • · Replies 1 ·
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1

Undergrad How to get a Chaos Sequence from this Equation?

  • ohaited
  • · Replies 16 ·
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16

Undergrad Solution for 1st order, homogenous PDE

  • James Brady
  • · Replies 1 ·
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1

Solve $\displaystyle 3y'-2y=e^{-\pi/2}\quad y(0)=a$: Find $a_0$ Exactly

  • karush
  • · Replies 1 ·
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1

-2.1.9 Find general solution of 2y'+y=3t

  • karush
  • · Replies 7 ·
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7

-b.1.3.19 Determine the values of r for t^2y''+4ty'+2y = 0

  • karush
  • · Replies 4 ·
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4

Undergrad Continuity of Green's function

  • Wledig
  • · Replies 9 ·
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9

Can Rationalizing the Denominator Solve a Stuck Homogeneous Equation?

  • Joe20
  • · Replies 1 ·
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1

Vibrations of a Hanging Chain: Modeling Tension with PDEs

  • cbarker1
  • · Replies 1 ·
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1

Graduate Hint as to how to solve an integral differential equation

  • barryj
  • · Replies 6 ·
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6

High School What Is the Fourier Transform of a Constant?

  • Somali_Physicist
  • · Replies 3 ·
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3

Undergrad Nonlinear Second Order ODE: Can We Find an Analytical Solution?

  • tse8682
  • · Replies 2 ·
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2

High School Why the Fourier series doesn't work to solve any differential equation?

  • jonjacson
  • · Replies 11 ·
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11

How can I solve a non-homogeneous equation using substitution?

  • Joe20
  • · Replies 1 ·
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1

Graduate Determine PDE Boundary Condition via Analytical solution

  • tse8682
  • · Replies 1 ·
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1

Undergrad Nonlinear Pendulum: Calculating Angular Displacement

  • Saim
  • · Replies 5 ·
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5

Graduate Which Transform to Use for Solving Thermoelastic PDEs?

  • mohammed El-Kady
  • · Replies 2 ·
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2

Anti-derivatives of the periodic functions

  • cbarker1
  • · Replies 1 ·
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1

How Do I Solve the Wave Equation with Given Initial Data?

  • cbarker1
  • · Replies 2 ·
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2

Solving the Wave Equation with Nonzero Initial Velocity

  • cbarker1
  • · Replies 2 ·
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2
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1

Undergrad Solving the Brachistochrone problem with friction

  • physics_cosmos
  • · Replies 2 ·
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2

Undergrad Derivative of f() as a function of a Laplacian

  • dsaun777
  • · Replies 1 ·
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1

Solving the Wave Equation with Initial Data: Ex. 5 Solution and Derivation

  • cbarker1
  • · Replies 11 ·
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11

Undergrad Which function space do square waves span?

  • Kontilera
  • · Replies 13 ·
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13

Euler equations having double roots as a solution

  • WMDhamnekar
  • · Replies 3 ·
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3

Differential Equations - Bernoulli equation

  • ajkess1994
  • · Replies 3 ·
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3

2nd order differential equation - equation of motion

  • jd17
  • · Replies 3 ·
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3

Euler’s Method y'+2y=2-e^(-4t) y(0)-1

  • karush
  • · Replies 5 ·
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5

-find general solution y'+2y=2-e^(-4t), y(0)=1

  • karush
  • · Replies 7 ·
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7

Difficult first order linear differential equation

  • WMDhamnekar
  • · Replies 3 ·
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3

-aux.2.7.15 Euler's y'=\frac{3t^2}{3y^2-4}; y(1)=0

  • karush
  • · Replies 11 ·
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11

Undergrad How do I find the integrating factor for a differential equation?

  • Elen Sakea
  • · Replies 2 ·
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2

Undergrad How to solve an ODE to find its solution

  • Hector Triana
  • · Replies 7 ·
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7

-s1.2.4 Find the equilibrium solution y_e

  • karush
  • · Replies 3 ·
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3
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2

Undergrad What Are the Roles of Beta, Prandtl, and Rayleigh in Chaos Theory?

  • osilmag
  • · Replies 17 ·
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17

Undergrad How to check chaotic system using Lyapunov

  • ohaited
  • · Replies 3 ·
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3

Undergrad Where does the exponential function come from in roots?

  • TachyonLord
  • · Replies 2 ·
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2

-1.1.1c Solve for the following initial value

  • karush
  • · Replies 5 ·
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5

How Do Boundary Conditions Affect Differential Equations?

  • karush
  • · Replies 7 ·
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7

How do I find the interval for solving this differential equation?

  • karush
  • · Replies 4 ·
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4
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4

Undergrad Why Does the First Eigenfunction Have a Zero in Sturm-Liouville Problems?

  • member 428835
  • · Replies 1 ·
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1

Undergrad Transfer Function relating momentum and force

  • thoraxepi
  • · Replies 2 ·
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2

Finding Iterative Solutions to Non-Linear Equations

  • topsquark
  • · Replies 4 ·
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4

Undergrad Can Euler Integration Simplify Chaotic Systems?

  • ohaited
  • · Replies 5 ·
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5

-b.2.2.18 IVP DE complete the square?

  • karush
  • · Replies 3 ·
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3

Graduate Partial Differential Equation Mathematical Modelling

  • Hector Triana
  • · Replies 1 ·
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1

2.2.16 (a) intial value (b) interval

  • karush
  • · Replies 9 ·
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9

-2.2.12 dr/dθ = r^2/θ, r(1) = 2 IVP, graph, interval

  • karush
  • · Replies 8 ·
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8

-2.2.12 IVP y'=2x/(y+x^2y), y(0)=-2

  • karush
  • · Replies 2 ·
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2

Graduate Differential Equation to Difference Equation

  • ebangosh
  • · Replies 3 ·
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3

Undergrad How do you know when to partially differentiate?

  • Zheng_
  • · Replies 1 ·
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1
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5

√(5-6*x)*ln(4*√(x)-√(a))=√(5-6*x)*ln(2*x+a)

  • Avalance789
  • · Replies 20 ·
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20

Graduate How Can I Linearize \( f(t) = \sin(\Phi(t)) \) Using Laplace Transform?

  • Jarfi
  • · Replies 5 ·
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5

Graduate Solving the Laplace equation over a trapezoidal domain

  • md nabil
  • · Replies 2 ·
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2

Undergrad Solving a nonlinear first order differential equation

  • Chromatic_Universe
  • · Replies 8 ·
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8

Solutions of DE System & 2nd Order Differential Equation

  • WMDhamnekar
  • · Replies 2 ·
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2

Undergrad How Do Boundary Conditions Change When a Beam Is Fixed at x=L Instead of x=0?

  • papanatas
  • · Replies 1 ·
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1

Graduate Need help solving Darboux equation

  • xdrgnh
  • · Replies 1 ·
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1

Graduate Rayleigh quotient Eigenvalues for a simple ODE

  • member 428835
  • · Replies 1 ·
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1

Undergrad Equating coefficients of complex exponentials

  • AtoZ
  • · Replies 3 ·
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3

Undergrad Sketching simple coupled oscillators

  • MathCreature
  • · Replies 2 ·
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2

Undergrad Using Differential operators to solve Diff equations

  • Biker
  • · Replies 9 ·
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9

Undergrad How does the substitution x = 1/z transform Bessel's Equation?

  • Philip Land
  • · Replies 1 ·
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1

Partial differential equations problem - finding the general solution

  • Another1
  • · Replies 2 ·
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2

Graduate Solution form for the following differential equation

  • Josu Aguirrebeitia
  • · Replies 2 ·
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2

Undergrad Y'' + y = 0 solution and recursion relation

  • Sam D
  • · Replies 3 ·
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3

Can You Solve These Challenging ODE Exam Questions?

  • perlarb
  • · Replies 1 ·
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1

Graduate Is There a Solution for a Particle Falling into a Gravitational Well?

  • kairama15
  • · Replies 3 ·
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3

Regular perturbation nonlinear problem

  • Carla1985
  • · Replies 5 ·
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5

Undergrad What exactly is linear dependency? 2nd and 3rd Order Diff EQ

  • sparkie
  • · Replies 1 ·
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1

Help: Differential equation Romeo & Juliet

  • helpmath
  • · Replies 4 ·
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4

Undergrad Using a bifurcation diagrams and time dependent parameters

  • MathCreature
  • · Replies 2 ·
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2

Graduate Finite Difference Scheme - Plume Entrainment

  • HumanistEngineer
  • · Replies 2 ·
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2

Graduate Existence of (sequential) feasible direction

  • nuuskur
  • · Replies 10 ·
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10

Undergrad How can you know if a numerical solution is correct?

  • maughanster
  • · Replies 3 ·
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3

-2.1.6 ty'- 2y =\sin{t}, t>0

  • karush
  • · Replies 7 ·
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7

Can Algebra Alone Rearrange This Differential Equation?

  • whiskybrah
  • · Replies 1 ·
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1

Graduate Mathematical Biology- Neumann BCs, Turing Analysis

  • binbagsss
  • · Replies 1 ·
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1

Existence and uniqueness of solution

  • mathmari
  • · Replies 4 ·
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4

Finding Equilibrium Solutions & Stability of $(1)$

  • evinda
  • · Replies 4 ·
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4

Graduate Inverted pendulum car - pedulum will not swing

  • bolly
  • · Replies 2 ·
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2