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

-7.1 transform u''+0.5u'+2u=0 into a system of first order eq

  • karush
  • · Replies 2 ·
Replies
2

Undergrad Help discretizing this PDE (stream function)

  • Daniel Sellers
  • · Replies 4 ·
Replies
4

Cp2.63 find the initial velocity

  • karush
  • · Replies 10 ·
Replies
10

Undergrad How do I derive a PDE for the volume flow rate of a tilting vessel?

  • akin-iii
  • · Replies 1 ·
Replies
1

Undergrad Wanting to understand the linearity of wave equations

  • jdou86
  • · Replies 1 ·
Replies
1

Graduate Deriving the derivative boundary conditions from natural formulation

  • maistral
  • · Replies 4 ·
Replies
4

Differential equation - distance needed to achieve target speed

  • Jonter
  • · Replies 2 ·
Replies
2

Undergrad Does this ODE have any real solutions?

  • Radlor
  • · Replies 11 ·
Replies
11

Undergrad Find Practical Resonance Frequencies in Linear Differential Equations

  • Kostas1335
  • · Replies 1 ·
Replies
1

Undergrad Separation of Variables for Partial Differential Equations

  • FAS1998
  • · Replies 18 ·
Replies
18

4-39 magnitude of its velocity after falling 10.0m

  • karush
  • · Replies 4 ·
Replies
4
Replies
8

-5.5 Solve the matrix equation AX=B to find x and y

  • karush
  • · Replies 4 ·
Replies
4

Undergrad Independent functions as solutions

  • Sathish678
  • · Replies 2 ·
Replies
2

-29.1 Find a general solution to the system of DE

  • karush
  • · Replies 4 ·
Replies
4

-m30 - 2nd order linear homogeneous ODE solve using Wronskian

  • karush
  • · Replies 12 ·
Replies
12

Undergrad Solving a differential equation using Laplace transform

  • PainterGuy
  • · Replies 5 ·
Replies
5

2.3.17 Find the average acceleration for this interval.

  • karush
  • · Replies 1 ·
Replies
1

Undergrad Partial Derivative: Correct Formulation?

  • Apashanka
  • · Replies 6 ·
Replies
6
Replies
7

Undergrad Homogeneous equation and orthogonality

  • dRic2
  • · Replies 4 ·
Replies
4

Correctness of Ball-Dropping Problem Answer

  • Ackbach
  • · Replies 3 ·
Replies
3

3.1.11 find the solution of the given initial value problem:

  • karush
  • · Replies 4 ·
Replies
4
Replies
7

Graduate Solving the Convection-Diffusion Equation for this Pipe with a Heat Sink

  • HumanistEngineer
  • · Replies 5 ·
Replies
5

Graduate What type of function satisfy a type of growth condition?

  • Vulture1991
  • · Replies 2 ·
Replies
2

Solve IVP 2000 #23: Y(0)=A Solution

  • karush
  • · Replies 2 ·
Replies
2

Graduate Preventing Oscillations w/ Coarse Calculation Increments?

  • Stargazer43
  • · Replies 5 ·
Replies
5

31.6 Solve the initial value problem

  • karush
  • · Replies 2 ·
Replies
2

Comparing Methods for Initial Value Problem

  • evinda
  • · Replies 38 ·
2
Replies
38

Graduate Looking for a nonlinear equation with the following property

  • wvguy8258
  • · Replies 1 ·
Replies
1

Graduate Can Optimal Control Be Achieved Using Direct Cost Function Calculation?

  • Kreizhn
  • · Replies 1 ·
Replies
1

Graduate Identifying cusp catastrophes?

  • Set Abominae
  • · Replies 1 ·
Replies
1

Graduate Sequence operator and transform

  • bqllpd
  • · Replies 1 ·
Replies
1

Graduate Different representation of Laplacian

  • Oddbio
  • · Replies 1 ·
Replies
1

Graduate Solving the Unknown in PDE: Finding u_B!

  • hermano
  • · Replies 1 ·
Replies
1

Undergrad Green's function for the wave equation

  • dRic2
  • · Replies 4 ·
Replies
4

Graduate Defining a Flow: What's the Best Way?

  • Rasalhague
  • · Replies 1 ·
Replies
1

Graduate Integral transforms - convergence

  • Pere Callahan
  • · Replies 1 ·
Replies
1

Undergrad Projective Methods For Stiff Differential Equations

  • mt2019
  • · Replies 2 ·
Replies
2

Undergrad What is the proper format for solving this ODE using an Excel add-in calculator?

  • jknight291
  • · Replies 3 ·
Replies
3

Graduate Solving Variational Equations with FreeFem++

  • urric
  • · Replies 1 ·
Replies
1

Graduate How does decompression affect the number of particles in a confined gas?

  • intervoxel
  • · Replies 1 ·
Replies
1

Graduate Interesting differential equation

  • birulami
  • · Replies 1 ·
Replies
1

Graduate Solving Drug Modeling: 130 micrograms of Thyroxine Needed

  • linyen416
  • · Replies 2 ·
Replies
2

Undergrad Using D'Alembert Solution to Find Values of Regions

  • FAS1998
  • · Replies 1 ·
Replies
1

Undergrad Separation of Variables (PDE) for the Laplace Equation

  • FAS1998
  • · Replies 3 ·
Replies
3

Graduate Proof involving some inequality

  • Extropy
  • · Replies 1 ·
Replies
1

Undergrad How bad is my maths? (numerical ODE method)

  • m4r35n357
  • · Replies 8 ·
Replies
8

Undergrad Verification regarding Neumann conditions at time derivative

  • maistral
  • · Replies 1 ·
Replies
1

Graduate Can we apply dynamics/system/chaos theory to the world?

  • Gerenuk
  • · Replies 1 ·
Replies
1

Graduate Understanding Transcendental Equations in Multicompartment Systems

  • stoucha
  • · Replies 1 ·
Replies
1

Undergrad Energy density distribution of a vibrating string

  • slcoleman
  • · Replies 1 ·
Replies
1

Graduate Solving Acceleration Model for Solar Drag Race

  • Jolly Green Tractor
  • · Replies 1 ·
Replies
1

Graduate How to prove differential property of homogeneous function

  • Prpan
  • · Replies 1 ·
Replies
1

Graduate Inverse Laplace transform for small 's', Taylor expansion

  • perr
  • · Replies 1 ·
Replies
1

Graduate FDM vs FEM: Which is Better for CFD?

  • maistral
  • · Replies 2 ·
Replies
2

Graduate Understanding the Spectrum of a Linear Operator

  • member 428835
  • · Replies 5 ·
Replies
5

Graduate Understanding the Colon Notation:

  • Integrals
  • · Replies 7 ·
Replies
7

Graduate Fourier transform and singularities

  • diraq
  • · Replies 1 ·
Replies
1

Graduate Optimizing Implicit Functions: Best Fit for Coupled ODE Solutions

  • P3X-018
  • · Replies 1 ·
Replies
1

High School How to calculate the Fourier transform of sin(a*t)*exp(-t/b) ?

  • Leonid92
  • · Replies 7 ·
Replies
7

Undergrad How to convolve impulses in engineering?

  • DWill
  • · Replies 2 ·
Replies
2

Graduate Bessel's Integrals with Cosine or Sine?

  • FQVBSina_Jesse
  • · Replies 1 ·
Replies
1

Undergrad Problem getting the coefficients of a non-homogeneous PDE using the Fourier method

  • Phys pilot
  • · Replies 1 ·
Replies
1

Graduate General natural boundary condition?

  • maistral
  • · Replies 2 ·
Replies
2

Graduate Composition of a theta function with function

  • muppet
  • · Replies 1 ·
Replies
1

Graduate Is the Saddle Point Expansion Valid for Finite Values of x?

  • Kevin_spencer2
  • · Replies 1 ·
Replies
1

-pe.7 write a system in the matrix form Y'=AY+G

  • karush
  • · Replies 2 ·
Replies
2

Undergrad How do I classify this partial differential equation? Inhomogeneous?

  • Phys pilot
  • · Replies 9 ·
Replies
9

Graduate Consistency Versus Convergence, seeking intuition

  • fahraynk
  • · Replies 2 ·
Replies
2

Graduate An infinite series transformed from Laplace transform

  • SAT999
  • · Replies 1 ·
Replies
1

Graduate Implicit Euler method with adaptive time step and step doubling

  • the_dane
  • · Replies 2 ·
Replies
2

Undergrad What is a symmetric ODE / what does it mean when an ODE is symmetric?

  • I_laff
  • · Replies 1 ·
Replies
1

Graduate Convergence and stability in multivariate fixed point iteration

  • dhatfield
  • · Replies 1 ·
Replies
1

Graduate Diffusion term, convective term and time double derivative

  • adnan jahan
  • · Replies 1 ·
Replies
1

Graduate Saddle point in trapping region

  • Appaloosa
  • · Replies 1 ·
Replies
1

Graduate Product of gradients at intersection of null clines in 2D system

  • Appaloosa
  • · Replies 1 ·
Replies
1

Graduate Simple Symplectic Reduction Example

  • msparapa
  • · Replies 3 ·
Replies
3

How to Solve the Differential Equation x'=x+sin(t)?

  • karush
  • · Replies 3 ·
Replies
3

Graduate Deriving the FEA formulation using triangular elements

  • maistral
  • · Replies 2 ·
Replies
2

Graduate Transforming coordinate system into a rotating one

  • haael
  • · Replies 7 ·
Replies
7

Undergrad What method should I use to get the roots of this equation?

  • GoodEngineering
  • · Replies 6 ·
Replies
6

Graduate Matrix Exponential to Approximate the Value of Matrizant

  • Alexander122745
  • · Replies 2 ·
Replies
2

Graduate Positive definite function,semi-definite functions

  • marellasunny
  • · Replies 1 ·
Replies
1

Graduate Algorithm for multidimensional constrained root finding

  • Breakgate
  • · Replies 1 ·
Replies
1

Graduate System of cross-polynomials of variable degree

  • ydydry
  • · Replies 1 ·
Replies
1

Graduate Testing for chaos in data(method by Doyne Farmer for 3D discrete data)

  • marellasunny
  • · Replies 1 ·
Replies
1

Undergrad Solve y=1- A(1-e^(-kx)) + mx +b

  • O_chemist
  • · Replies 1 ·
Replies
1

Graduate Representing a factorial through its pseudo Z transform

  • JPaquim
  • · Replies 1 ·
Replies
1

Graduate Solving heat equation BACK in time

  • Curl
  • · Replies 1 ·
Replies
1

Undergrad Differential Equation's: A popular solving method

  • AbedeuS
  • · Replies 1 ·
Replies
1

Graduate What is the Purpose of Green's Function?

  • Greg Bernhardt
  • · Replies 1 ·
Replies
1

Graduate What is a linear ordinary differential equation

  • Greg Bernhardt
  • · Replies 1 ·
Replies
1

Graduate What is the Euler-Lagrange equation

  • Greg Bernhardt
  • · Replies 1 ·
Replies
1

Graduate How are recurrence relations used in mathematics and computer science?

  • Greg Bernhardt
  • · Replies 1 ·
Replies
1

29.1 give a system of fundamental solutions

  • karush
  • · Replies 5 ·
Replies
5

Graduate How to get a converging solution for a second order PDE?

  • enea19
  • · Replies 3 ·
Replies
3
Replies
3

Graduate Irreversible processes. Heat equation, diffusion equation

  • Higgsono
  • · Replies 2 ·
Replies
2