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

Undergrad Know a simple, linear, complex, eigenvalue BVP?

  • member 428835
  • · Replies 3 ·
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3

Graduate Equation satisfied by a rubber sheet

  • Septim
  • · Replies 24 ·
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24

Undergrad Heat transfer coefficient and convection

  • fluidistic
  • · Replies 3 ·
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3

Undergrad How can I solve the equation x-esin(x)=4?

  • PainterGuy
  • · Replies 2 ·
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2

Undergrad Vector space for solutions of differential equations

  • Trying2Learn
  • · Replies 4 ·
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4

Graduate Question about this Separable ODE statement in a book

  • SchroedingersLion
  • · Replies 8 ·
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8

Optimal Control for Differential Equations with L2 Control Constraint

  • Alexandru999
  • · Replies 1 ·
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1

Graduate Solution to a differential equation with variable coefficients

  • mertcan
  • · Replies 6 ·
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6

Graduate Differential Equations (Control Optimization Problem)

  • Alexandru999
  • · Replies 2 ·
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2

High School A differential equation, or an identity?

  • etotheipi
  • · Replies 6 ·
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6

Undergrad Differential equation with two terms

  • kent davidge
  • · Replies 1 ·
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1

Undergrad Poisson's inhomogeneous PDE and its solutions

  • fog37
  • · Replies 13 ·
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13

Solutions of the ODEs - 2 first order linear equations

  • Julio1
  • · Replies 6 ·
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6

Undergrad Boundary Conditions For Modelling of a Fluid Using Euler's Equations

  • person123
  • · Replies 16 ·
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16

Graduate Numerically calculating the solution for a non-homogeneous ODE system

  • semc
  • · Replies 6 ·
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6

Graduate ODE -> Transfer Function Assistance

  • BlueTempus
  • · Replies 2 ·
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2

Undergrad Vibration Problems -- Why must there be two solutions to the DE?

  • Trying2Learn
  • · Replies 19 ·
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19

Undergrad What is the Purpose of Modal Analysis in Mechanical Systems?

  • Trying2Learn
  • · Replies 1 ·
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1

Graduate Crank-Nicholson solution to the cylindrical heat equation

  • hunt_mat
  • · Replies 23 ·
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23

When do the combined heights of two Ferris wheels reach 27.5m?

  • Amathproblem22
  • · Replies 3 ·
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3
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18

-b.2.1.11 Find the general solution y'+y=5sin{2t}

  • karush
  • · Replies 3 ·
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3
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1

What Method Solves the ODE y''(x) + y'(x) + F(x) = 0?

  • Another1
  • · Replies 2 ·
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2

-2.2.31 First order homogeneous ODE

  • karush
  • · Replies 8 ·
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8

Undergrad Solving a PDE for z(x,y) with Total and 2nd Derivatives: Step-by-Step Guide

  • chacal10
  • · Replies 5 ·
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5

-2.2.27 - Analysis of first order IVP

  • karush
  • · Replies 15 ·
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15

Undergrad Mixed topic : from FEM to analytical solution via limits?

  • jk22
  • · Replies 3 ·
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3

Graduate Numerically solving matrix Riccati ODE

  • Avatrin
  • · Replies 3 ·
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3
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9

Graduate Partial Differential equation (Heat eqn)

  • Mira
  • · Replies 2 ·
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2

High School Complete set of solutions to the wave equation

  • Thomas Rigby
  • · Replies 3 ·
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3
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11

Solve x³+3xy²=-49 and x²-8xy+y²=8y-17x

  • anemone
  • · Replies 13 ·
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13

Undergrad Solving the Wave Equation via complex coordinates

  • jk22
  • · Replies 5 ·
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5

Undergrad Ω=0 and its magnitude for a unit pulse

  • PainterGuy
  • · Replies 4 ·
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4

-b.2.1.12 Find the general solution 2y'+y=3t^2

  • karush
  • · Replies 6 ·
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6

Undergrad Solving a DE for modelling the spread of an infectious disease

  • greswd
  • · Replies 5 ·
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5

Undergrad Thermodynamics Differentiating logarithms

  • Hypatio
  • · Replies 11 ·
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11

Undergrad Deriving the differential equation for the underdamped case

  • Tony Hau
  • · Replies 1 ·
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1

Interval with Dirac function in a finite interval

  • evinda
  • · Replies 2 ·
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2

Numerical Methods: Second Order Runge-Kutta Scheme

  • muckyl
  • · Replies 1 ·
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1

High School What Is the Correct Inverse Laplace Transform of 1/s(s²+w²)?

  • engnrshyckh
  • · Replies 9 ·
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9

Determine the position using an iteration method

  • mathmari
  • · Replies 4 ·
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4

Graduate Partial differential equation containing the Inverse Laplacian Operator

  • Celeritas
  • · Replies 3 ·
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3

Maximum value a function satisfying a differential equation can achieve.

  • caffeinemachine
  • · Replies 1 ·
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1

Graduate Identifying and solving a pair of ODE's

  • Milsomonk
  • · Replies 6 ·
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6

Undergrad Rewriting a piecewise function using step functions

  • selig5560
  • · Replies 2 ·
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2

Undergrad Find the only periodic solution of an ODE

  • michii15
  • · Replies 5 ·
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5

Massaad's question via email about Laplace Transforms

  • Prove It
  • · Replies 1 ·
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1

Adam's question via email about Laplace Transforms

  • Prove It
  • · Replies 4 ·
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4

Graduate 11 coordinate system for separation of variables

  • Trying2Learn
  • · Replies 4 ·
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4

Undergrad Can Non-Separable ODEs Be Solved with Coordinate Transformations?

  • jk22
  • · Replies 13 ·
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13

Graduate Rational Chebyshev Collocation Method For Damped Harmonic Oscilator

  • Leonardo Machado
  • · Replies 2 ·
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2

Graduate Is this a known result? (hypergeometric function at special values)

  • nrqed
  • · Replies 5 ·
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5

Undergrad Phase Plane Diagram w/ Complex eigenvalues

  • e101101
  • · Replies 3 ·
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3

High School How Can We Model the Coronavirus Using Predator-Prey Dynamics?

  • etotheipi
  • · Replies 18 ·
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18

Dimensional regularizatoin of an integral

  • topsquark
  • · Replies 7 ·
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7

Graduate LTI Impulse Response Estimation with Point Process Input

  • Alexei_Nomazov
  • · Replies 1 ·
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1

Graduate Crank-Nicholson method and Robin boundary conditions

  • hunt_mat
  • · Replies 8 ·
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8

Undergrad Bernoulli Equation with weird integral

  • acalcstudent
  • · Replies 1 ·
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1

Undergrad Help getting started with this differential equation

  • Daniel Sellers
  • · Replies 3 ·
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3

Laplace / inverse laplace transform

  • goohu
  • · Replies 3 ·
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3

Undergrad DEs - Constants in Exercises: Why Not in General Forms?

  • Admiralibr123
  • · Replies 2 ·
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2

Undergrad PDEs: Laplace's Equation over a Parallelogram

  • Master1022
  • · Replies 10 ·
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10

Undergrad D'Alembert solution for the wave equation: question about the speeds

  • jk22
  • · Replies 1 ·
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1

Riccati's equation and Bessel functions

  • Fernando Revilla
  • · Replies 4 ·
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4

Undergrad PDEs: Diffusion Equation Change of Variables

  • Master1022
  • · Replies 1 ·
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1

Graduate How to Find Initial Conditions for a Fifth Order ODE in Visco-Elastic Models?

  • Joa
  • · Replies 5 ·
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5

Graduate Boundary conditions for the Heat Equation

  • Leonardo Machado
  • · Replies 6 ·
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6

Graduate What are the uses of spherical harmonics?

  • member 428835
  • · Replies 3 ·
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3

Graduate Fourier transform equation question

  • Fosheimdet
  • · Replies 3 ·
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3

Undergrad What is the most useful method to solve differential equations?

  • Anonymous_
  • · Replies 12 ·
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12

Undergrad Separation of variables - Getting the Fourier coefficients

  • NicolaiTheDane
  • · Replies 4 ·
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4

-307.28.1 Find the general solution to the system of DE

  • karush
  • · Replies 1 ·
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1

Undergrad When and How to Solve ODEs: Clarity for Confused Students

  • ABearon
  • · Replies 3 ·
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3

Undergrad Constants at the end of the Frobenius method

  • ABearon
  • · Replies 1 ·
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1

Undergrad Question about the roots of Chebyshev polynomials

  • confused_engineer
  • · Replies 2 ·
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2

Undergrad Solving an ODE with power series

  • Kaguro
  • · Replies 4 ·
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4

Finding Time for a Kicked Ball

  • balancedlamp
  • · Replies 5 ·
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5

Graduate Function differentiability and diffusion

  • hilbert2
  • · Replies 5 ·
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5

Undergrad Polynomial approximation of a more complicated function

  • Hypatio
  • · Replies 6 ·
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6

Undergrad Lyapunov Stability for a nonlinear system

  • Arman777
  • · Replies 1 ·
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1

Undergrad What is the relationship between Coulomb's gauge and Maxwell's Lagrangian?

  • vahdaneh
  • · Replies 6 ·
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6

Graduate Eigenvalues for a non self adjoint operator

  • qtm912
  • · Replies 4 ·
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4

Undergrad ODE Fail: Numerical Solution Oscillations - Possible Solutions | Hi PF

  • member 428835
  • · Replies 24 ·
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24

Undergrad What's a Non-Eigenvalue Problem Called?

  • member 428835
  • · Replies 8 ·
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8

Undergrad Can the ODE \psi''-y^2\psi=0 be solved using a general method?

  • Luke Tan
  • · Replies 2 ·
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2

Undergrad Solving an ODE with Legendre Polynomials

  • CrosisBH
  • · Replies 1 ·
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1

Undergrad Finish and plot this separation of variables problem

  • Daniel Sellers
  • · Replies 10 ·
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10

Solution to function with power greater than 4

  • roni1
  • · Replies 1 ·
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1

-m30b Convert the differential equation

  • karush
  • · Replies 4 ·
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4

Undergrad What Is the Best Numerical Method for Solving a PDE on a 2D Annulus Grid?

  • Daniel Sellers
  • · Replies 6 ·
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6

High School Solve a second-order differential equation

  • Sara_76
  • · Replies 5 ·
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5

Solving 1st order non-linear ODE

  • WMDhamnekar
  • · Replies 4 ·
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4

Undergrad How can we identify non-linear singular differential equation

  • wasi-uz-zaman
  • · Replies 3 ·
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3

Undergrad Can the Second Plane Autonomous System Have a Unique Critical Point?

  • TheMercury79
  • · Replies 1 ·
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1

Undergrad Find the general solution for the differential equation

  • GoodEngineering
  • · Replies 4 ·
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4

-16.1 Find the general solution to the system of DE

  • karush
  • · Replies 2 ·
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2

Graduate 3D Heat equation with elementary Dirichlet BC

  • Flo31
  • · Replies 1 ·
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1