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

  • Sticky

Undergrad Intro. to Differential Equations

  • ExtravagantDreams
  • · Replies 95 ·
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Undergrad Mixed approximation vs. full approximation for a power series expansion

  • FranzS
  • · Replies 24 ·
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Undergrad Correct Upper/Lower limits for continuation of solutions for ODE

  • elias001
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Undergrad 2nd order ODE's, variation of parameters and the notorious constraint

  • haushofer
  • · Replies 5 ·
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Undergrad A question about variables of integration

  • Rick16
  • · Replies 3 ·
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3

Graduate About ellipticity and a proof that a system of PDEs is elliptic

  • fluidistic
  • · Replies 0 ·
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Graduate Volterra equation of the second kind

  • reterty
  • · Replies 1 ·
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High School An exact Paraxial equation derivation, 100% Cartesian

  • difalcojr
  • · Replies 6 ·
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Undergrad Direction Fields and Isoclines

  • Kakashi
  • · Replies 1 ·
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Graduate Should the boundary condition have to satisfy dimensional consistency?

  • SaleemKU
  • · Replies 6 ·
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Undergrad Why Lagrange’s method of solving Pp + Qq=R works?

  • PLAGUE
  • · Replies 3 ·
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Graduate Show positivity and boundedness of a non-linear system

  • dgf
  • · Replies 2 ·
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Graduate The heat equation for a composite having contact resistance

  • shreddinglicks
  • · Replies 7 ·
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7

Undergrad Visual Representation of Separation of Varables

  • sonnichs
  • · Replies 4 ·
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Undergrad Solving a system of equations with 5 unknowns

  • hmparticle9
  • · Replies 10 ·
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Undergrad Understanding Legendre differential equation

  • chwala
  • · Replies 2 ·
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Graduate Searching for radial part solution of Klein-Gordon type equation

  • art1915
  • · Replies 1 ·
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Undergrad 1D time dependent PDE - using orthogonal collocation

  • mayzal
  • · Replies 2 ·
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Graduate Boundary conditions sufficient to ensure uniqueness of solution?

  • fluidistic
  • · Replies 4 ·
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4

High School Mathematical equation of motion of a differential two-wheeled Sumo robot

  • dis
  • · Replies 1 ·
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1

High School Deriving an asymmetric logistic growth model

  • liquidFuzz
  • · Replies 3 ·
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Graduate Solving for a steady-state (passive cable equation)

  • rall1959
  • · Replies 4 ·
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Undergrad Stuck on solving a non homogenous (linear) PDE

  • fluidistic
  • · Replies 36 ·
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Undergrad Solving ODE with Laplace transform and Existence and Uniqueness Theorem

  • lys04
  • · Replies 19 ·
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Graduate Symplectic split of Hamiltonian with complex term

  • ematt
  • · Replies 1 ·
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Graduate Computing end-points using the Neumann condition

  • hunt_mat
  • · Replies 2 ·
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2

Undergrad When is an ODE (numerically) reversible in time?

  • Aidyan
  • · Replies 4 ·
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4

Undergrad Question about the general solution to Hooke's law

  • dainceptionman_02
  • · Replies 3 ·
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Undergrad How to do Magnus expansion for time-dependent companion matrix?

  • adf89812
  • · Replies 7 ·
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7

Graduate How to use the Newton-Raphson method while keeping the sum constant?

  • K-Manu
  • · Replies 2 ·
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2

Graduate Request resources to understand Picard–Lindelöf for ODEs

  • adf89812
  • · Replies 6 ·
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Undergrad Relevant Literature for Noisy Linear Dynamical Systems

  • scjiang
  • · Replies 1 ·
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1

Undergrad Energy of moving Sine-Gordon breather

  • TOAsh2004
  • · Replies 2 ·
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2

Undergrad Runge-Kutta 4 w/ some sugar on the top: How to do error approximation?

  • bremenfallturm
  • · Replies 65 ·
3
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Undergrad Maxwell's equations PDE interdependence and solutions

  • cianfa72
  • · Replies 5 ·
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Undergrad Understanding the given transformation - PDE

  • chwala
  • · Replies 5 ·
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5

Undergrad A step in a proof of linear dependence of ODE solutions

  • Hill
  • · Replies 4 ·
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4

High School Solving Kepler's 1st law as a function of time

  • jebez
  • · Replies 23 ·
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23

Graduate Heat conduction equation in cylindrical coordinates

  • shreddinglicks
  • · Replies 2 ·
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2

Undergrad Numerically how to approximate exponential decay in a discrete signal

  • cppIStough
  • · Replies 4 ·
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4

Graduate Circuit ODE with multiple short voltage impulses

  • ishan_ae
  • · Replies 1 ·
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Undergrad Number of solutions to the order of the equation

  • Trying2Learn
  • · Replies 2 ·
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Undergrad Numerically solving a non-local PDE

  • ergospherical
  • · Replies 3 ·
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Undergrad Green's function for 2-D Laplacian within square/rectangular boundary

  • Swamp Thing
  • · Replies 5 ·
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Undergrad Toy problem to motivate the idea of advanced Green's functions

  • Swamp Thing
  • · Replies 0 ·
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0

Undergrad How to Solve a Nonlinear PDE with Sinh Function?

  • Adri
  • · Replies 4 ·
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4

Graduate Navier-Stokes solutions: Beltrami flow

  • casparov
  • · Replies 0 ·
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Undergrad Partial Differential Equation solved using Products

  • mathhabibi
  • · Replies 2 ·
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2

Undergrad Detailed solution of an envelopes example in a math book

  • vgarg
  • · Replies 5 ·
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5

Undergrad General solution vs particular solution

  • sdfsfasdfasf
  • · Replies 52 ·
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Graduate A question about an 'extremal' surface

  • Antarres
  • · Replies 7 ·
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Undergrad Uniform convergence of functions

  • chwala
  • · Replies 7 ·
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Undergrad On vibrating string and differentiating infinite sum

  • psie
  • · Replies 7 ·
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Undergrad Determining the dimension of a given PDE

  • chwala
  • · Replies 9 ·
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9

Undergrad Navier-Stokes equation in a triangular coordinate system

  • MasterOgon
  • · Replies 3 ·
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3

Undergrad Getting zeros and poles for Laplace transform

  • bnich
  • · Replies 0 ·
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Undergrad V * grad(V) = grad(V^2/2) - rotor(omega)

  • Rikyuri
  • · Replies 6 ·
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6

Graduate SDE valuation equation (stochastic calculus)

  • cppIStough
  • · Replies 1 ·
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1

Insights Differential Equation Systems and Nature

  • fresh_42
  • · Replies 14 ·
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14

Undergrad LIF Neuron Equation Solution for arbitrary time-dependent current (Neural Dynamics)

  • gigorina
  • · Replies 0 ·
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0

Undergrad Determining linear indepedence/dependence of a set of functions

  • chwala
  • · Replies 11 ·
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11

Undergrad Reduction of order in solving second order differential equations

  • chwala
  • · Replies 3 ·
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3

Undergrad Heavyside’s operational calculus vs. transforms

  • Frabjous
  • · Replies 2 ·
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Undergrad How to Evaluate This Stochastic Expectation Value?

  • thatboi
  • · Replies 0 ·
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0

Undergrad Differential equation using power series method

  • Graham87
  • · Replies 8 ·
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8

Undergrad Find the directional derivative of ##f## at the given point

  • chwala
  • · Replies 3 ·
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3

Undergrad Determining equilibrium solutions to differential equations

  • chwala
  • · Replies 16 ·
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16

Undergrad Cylindrical coordinates -Curvilinear

  • chwala
  • · Replies 1 ·
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Undergrad The constant value on the given exact differential equation

  • chwala
  • · Replies 2 ·
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Undergrad Determining directional Field for say ##\dfrac{dy}{dx}=y-x##

  • chwala
  • · Replies 5 ·
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5

Graduate Solve PDE w/ Comsol 5.3: Numerical Solution & Time Evolution

  • umby
  • · Replies 5 ·
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5

Graduate Discretisation of a PDE in Lagrangian coordinates

  • hunt_mat
  • · Replies 4 ·
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4

High School Solving PDEs via FEM: A Gut Check of the Procedure

  • Vanilla Gorilla
  • · Replies 0 ·
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0

Undergrad On a bijective Laplace transform

  • psie
  • · Replies 1 ·
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1

Undergrad Modeling Asteroid Rotation Using Quaternions: Seeking Guidance on Init

  • Codezero
  • · Replies 3 ·
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3

Undergrad On Laplace transform of derivative

  • psie
  • · Replies 17 ·
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17

Graduate Legendre Polynomials -- Jackson Derivation

  • Reverend Shabazz
  • · Replies 6 ·
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6

High School Incorporating boundary conditions in the Finite Element Method (FEM)

  • Vanilla Gorilla
  • · Replies 4 ·
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4

Undergrad On sub and super solutions: Teschl and others

  • psie
  • · Replies 5 ·
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5

Graduate Integrability of Systems of Differential Equations

  • The Tortoise-Man
  • · Replies 5 ·
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5

Undergrad On the approximate solution obtained through Euler's method

  • psie
  • · Replies 1 ·
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1

Undergrad On error estimates of approximate solutions

  • psie
  • · Replies 1 ·
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1

Undergrad Feynmann's connection machine model

  • picketpocket826
  • · Replies 1 ·
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1

Undergrad Verifying properties of Green's function

  • psie
  • · Replies 1 ·
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1

Undergrad Question about solving linear first order non-homogeneous ODEs

  • CGandC
  • · Replies 3 ·
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3

Undergrad Solving Differential Equation Using Reduction of Order

  • giodude
  • · Replies 2 ·
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2

Graduate Stability analysis for numerical schemes of systems of PDEs

  • hunt_mat
  • · Replies 1 ·
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1

Graduate The field equations of elasticity

  • Trying2Learn
  • · Replies 6 ·
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6

Undergrad Heat Equation: Solve with Non-Homogeneous Boundary Conditions

  • erobz
  • · Replies 4 ·
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4

Graduate Solving System of PDEs: Analytical Methods & Solutions

  • satu
  • · Replies 9 ·
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9

Undergrad Solve Int. Eq.: Exponential Growth Diff. Eq.

  • mcastillo356
  • · Replies 7 ·
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7

Undergrad "Rationale" for Homogeneous vs. Nonhomogeneous Differential Equations?

  • Martyn Arthur
  • · Replies 10 ·
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10

Graduate Obtaining a variable value from a 5-th degree polynomial in the tangent form

  • baby_1
  • · Replies 4 ·
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4

Graduate How to work around this equation giving infinities in the numerical calculation?

  • FQVBSina_Jesse
  • · Replies 4 ·
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4

Undergrad Finding the time for the first shock for a quasilinear first order PDE

  • BloonAinte
  • · Replies 4 ·
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4

Graduate Separation of variables is possible only in 11 coordinate systems?

  • Trying2Learn
  • · Replies 7 ·
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7

Graduate Numerically solving a transport equation

  • hunt_mat
  • · Replies 3 ·
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3