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 What's the mathematics behind "spontaneous synchronization"?

  • swampwiz
  • · Replies 1 ·
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Undergrad Characteristic curves for ##u_t + (1-2u)u_x = -1/4, u(x,0) = f(x)##

  • BloonAinte
  • · Replies 2 ·
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2

Undergrad Rosenbrock method ODE : Abrupt increase during First iteration

  • gurbir_s
  • · Replies 2 ·
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2

Graduate Differential equation and Appell polynomials

  • pawlo392
  • · Replies 1 ·
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1

Undergrad Solution of delayed forcing function

  • Jag1972
  • · Replies 5 ·
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5

Undergrad Infinite product representation of Bessel's function of the 2nd kind

  • Talon44
  • · Replies 2 ·
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2

Graduate Raising and lowering operators

  • John Finn
  • · Replies 1 ·
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1

Insights How Did Lie Groups Become Central to Physics?

  • fresh_42
  • · Replies 9 ·
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9

Undergrad ODE with non-exact solution: closed-form, non-iterative approximations

  • FranzS
  • · Replies 3 ·
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3

High School Luis A. Caffarelli, 2023 Abel Prize

  • Astronuc
  • · Replies 1 ·
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1

Undergrad Fundamental matrix of a second order 2x2 system of ODEs

  • EinsteinCross
  • · Replies 2 ·
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2

Undergrad Derivation for the indicial exponent in the Frobenius method

  • Kloo
  • · Replies 1 ·
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1

Graduate Differentiation of unitary operator U(t,t') in Peskin and Schroeder

  • Romanopoulos Stelios
  • · Replies 5 ·
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5

Undergrad Best fit to an oscillating function

  • kelly0303
  • · Replies 9 ·
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9

Undergrad Solving 3D TDSE with Runge-Kutta Method

  • thatboi
  • · Replies 3 ·
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3

Graduate Seeking advice about solving an ODE

  • BillKet
  • · Replies 3 ·
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3

Undergrad What kind of differential does the small Greek delta letter represent?

  • swampwiz
  • · Replies 2 ·
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2

Graduate How to separate variables in this PDE?

  • BB711
  • · Replies 7 ·
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7

Undergrad Solving an equation with a parameter and a derivative

  • homeworkhelpls
  • · Replies 2 ·
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2

Undergrad Understanding Euler Method: Finding Initial Condition of y(0)=1

  • chwala
  • · Replies 7 ·
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7

Undergrad Laplace Transform of Sign() or sgn() functions

  • macardoso
  • · Replies 1 ·
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1

Undergrad Properties of the Fourier transform

  • redtree
  • · Replies 7 ·
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7

Undergrad PDE - Heat Equation - Cylindrical Coordinates.

  • erobz
  • · Replies 3 ·
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3

Undergrad Helmholtz Equation in Cartesian Coordinates

  • bob012345
  • · Replies 11 ·
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11

Graduate Solving an Equation: Overcoming the r's

  • mhirschb
  • · Replies 2 ·
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2

Undergrad Finding the weak form of an eq. with DG elements (finite elements)

  • fluidistic
  • · Replies 6 ·
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6

Undergrad How to characterise solutions to an unsolved equation

  • NotEuler
  • · Replies 5 ·
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5

Graduate Clarification on the given PDE problem

  • chwala
  • · Replies 4 ·
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4

Undergrad Time evolution of the electromagnetic wavefunction on a lattice

  • James1238765
  • · Replies 9 ·
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9

Graduate The boundary conditions in reference to Laplace's equation

  • chwala
  • · Replies 22 ·
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22

Graduate Applying the Laplace transform to solve Differential equations

  • LagrangeEuler
  • · Replies 5 ·
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5

Undergrad Explanation of all "its linearly independent derivatives"

  • Hall
  • · Replies 3 ·
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3

High School Differentiating Euler formula vs. multiplying by i

  • ke7ijo
  • · Replies 3 ·
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3

Graduate Solve the Partial differential equation ##U_{xy}=0##

  • chwala
  • · Replies 3 ·
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3

Graduate Rectangular higher order edge element (finite element method)

  • mdn
  • · Replies 1 ·
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1

Graduate Determining whether the Dirichlet problem is nonhomogenous

  • chwala
  • · Replies 2 ·
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2

Undergrad Need Help with this Step in a DE solution

  • bigmike94
  • · Replies 1 ·
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1

High School Constrained Optimization with the KKT Approach

  • SilverSoldier
  • · Replies 7 ·
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7

How to Solve the Lotka-Volterra System of Differential Equations?

  • charlottewill
  • · Replies 18 ·
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18

Undergrad What are the applications of inverses of vector functions?

  • askmathquestions
  • · Replies 17 ·
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17

Undergrad Discontinuous systems? And why do we need uniqueness anyway?

  • askmathquestions
  • · Replies 2 ·
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2

Undergrad Where did this substitution technique go wrong?

  • askmathquestions
  • · Replies 27 ·
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27

Undergrad Expressing a differential equation into a different format

  • Shovon00000
  • · Replies 1 ·
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1

Undergrad Can we solve a non-autonomous diffeq via Taylor series?

  • askmathquestions
  • · Replies 5 ·
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5

Undergrad What are the applications of function-valued matrices?

  • askmathquestions
  • · Replies 5 ·
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5

Graduate How to solve Diffusion Equation with time dependant conditions?

  • Zimbalj
  • · Replies 13 ·
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13

Undergrad Second order non-homogeneous linear ordinary differential equation

  • Hall
  • · Replies 2 ·
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2

Graduate Polar Fourier transform of derivatives

  • hunt_mat
  • · Replies 4 ·
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4

Undergrad Is there a name for this sort of differential equation?

  • Gear300
  • · Replies 2 ·
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2

Undergrad Finding Max and Min Extremes of a Function with Second Derivatives Equal to Zero

  • NODARman
  • · Replies 1 ·
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1

Graduate Spectral solution of the two dimensional Rossler chaotic system

  • patric44
  • · Replies 4 ·
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4

Undergrad Can I Differentiate Both Sides to Solve y in y^2=ln(1-y^2)?

  • NODARman
  • · Replies 2 ·
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2

Undergrad Understanding Removable discontinuity of the given function: ##e^x##

  • chwala
  • · Replies 35 ·
2
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35

Graduate Solve the heat equation having Dirichlet boundary conditions

  • chwala
  • · Replies 3 ·
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3

Undergrad Second Order ODE with Exponential Coefficients

  • thatboi
  • · Replies 1 ·
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1

Undergrad Analysis of converting a DE into complex DE

  • Hall
  • · Replies 6 ·
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6

Graduate Solve the homogenous Neumann problem

  • chwala
  • · Replies 3 ·
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3

Graduate Bessel functions of imaginary order

  • KariK
  • · Replies 2 ·
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2

Undergrad Hypergeometric Limits: Analyzing p(x)

  • thatboi
  • · Replies 1 ·
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1

Collin's question via email about solving a DE using Laplace Transforms

  • Prove It
  • · Replies 2 ·
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2

Graduate When should you use more mesh elements in the finite element method?

  • mdn
  • · Replies 9 ·
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9

Undergrad General solution of 1D vs 3D wave equations

  • yucheng
  • · Replies 7 ·
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7

Undergrad Real ODE yields real solution through complex numbers

  • FranzS
  • · Replies 3 ·
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3

Minimum time required to cover distance, beginning and ending at rest

  • Fantini
  • · Replies 1 ·
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1

Undergrad Quick Change of Variables Question

  • thatboi
  • · Replies 15 ·
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15

Undergrad Drawing Direction Fields for Higher Order ODEs

  • hagopbul
  • · Replies 6 ·
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6

Equivalent Damping Constant for Massless Bar

  • Dustinsfl
  • · Replies 1 ·
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1

Viscously damped system

  • Dustinsfl
  • · Replies 1 ·
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1
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1

Collin's question via email about a Laplace Transform

  • Prove It
  • · Replies 1 ·
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1

Collin's questions via email about Inverse Laplace Transforms

  • Prove It
  • · Replies 1 ·
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1

Mahesh's question via email about Laplace Transforms (2)

  • Prove It
  • · Replies 1 ·
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1

Jun's question via email about Laplace Transform

  • Prove It
  • · Replies 2 ·
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2

Alexander's question via email about Laplace Transforms

  • Prove It
  • · Replies 1 ·
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1

Dharshan's question via email about a Laplace Transform

  • Prove It
  • · Replies 1 ·
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1

Mahesh's question via email about Laplace Transforms (1)

  • Prove It
  • · Replies 1 ·
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1

Seth's question via email about a Laplace Transform

  • Prove It
  • · Replies 1 ·
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1

Effie's question via email about Implicit Differentiation

  • Prove It
  • · Replies 1 ·
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1

Edin's question via email about implicit differentiation

  • Prove It
  • · Replies 1 ·
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1

Inexact Differential Equation with 4 Degree

  • jeffer vitola
  • · Replies 1 ·
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1

Erin's question via email about a Fourier Transform

  • Prove It
  • · Replies 1 ·
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1

Kamal's Questions via email about Implicit Differentiation

  • Prove It
  • · Replies 1 ·
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1

Graduate Fortran programming to solve ODEs

  • ra_forever8
  • · Replies 1 ·
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1

Sturm-Liouville Problem Cheat Sheet

  • Ackbach
  • · Replies 1 ·
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1
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1
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1

Aidan's question via email about Fourier Transforms (2)

  • Prove It
  • · Replies 1 ·
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1

How Long for 61Co to Reduce to 80% of Its Initial Value?

  • CaptainBlack
  • · Replies 1 ·
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1

Throwing a Ball Up: Motion & Time to Max Height

  • Dustinsfl
  • · Replies 1 ·
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1

Graduate Recurrence relations for series solution of differential equation

  • dim_d00m
  • · Replies 1 ·
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1

Undergrad FEM Method in 2D with Triangular Elements

  • bob012345
  • · Replies 12 ·
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12

Undergrad How to make the deflection equation at any point along a snow ski profile?

  • Skierman
  • · Replies 4 ·
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4

Matrix Methods for Difference Problems II

  • topsquark
  • · Replies 7 ·
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7

Matrix Methods for Difference Problems

  • topsquark
  • · Replies 3 ·
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3
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2

Undergrad Differential Equations For Solving A Recursive equation

  • MAGNIBORO
  • · Replies 5 ·
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5

Undergrad Modified Bessel Equation

  • thatboi
  • · Replies 3 ·
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3

Undergrad Finding the damping ratio (zeta) of an nth order system from a transfer function

  • twillkickers
  • · Replies 2 ·
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2

Neuronal Dynamics Passive membrane equation

  • winterdrops
  • · Replies 1 ·
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1

Help with a question (Bernoulli General solution)

  • Ultra
  • · Replies 8 ·
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8