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 Where does one start with differential equations?

  • superduckdude
  • · Replies 5 ·
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5

Graduate Convolution Proof of time scaling property

  • woohs1216
  • · Replies 4 ·
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4

Graduate Conceptual trouble with derivatives with respect to Arc Length

  • admbmb
  • · Replies 1 ·
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1

How to solve a differential equation using substitution?

  • find_the_fun
  • · Replies 9 ·
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9

Undergrad Runge Kutta for 4 coupled differential equations

  • UberG
  • · Replies 3 ·
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3

Graduate 2nd order, linear, homogeneous proof

  • MathewsMD
  • · Replies 3 ·
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3

Graduate Numerical solution of a differential equation with time dependent terms

  • Carlos Criollo
  • · Replies 5 ·
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5

Solving Substitution Steps: Examples Explained

  • find_the_fun
  • · Replies 4 ·
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4

Undergrad Log Linearization: A Step-By-Step Guide

  • thegodfather
  • · Replies 1 ·
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1

Graduate Solving for nonlinear 2nd order DE

  • MathewsMD
  • · Replies 4 ·
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4

Solving Exact Diff. Eq: (5x+4y)dx+(4x-8y^3)dy=0

  • find_the_fun
  • · Replies 9 ·
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9

Exact equation with trig function

  • find_the_fun
  • · Replies 1 ·
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1

Graduate Inverse Laplace transform with p^-1 and exponential

  • kewei chen
  • · Replies 2 ·
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2

Graduate 2nd order DE w/ various solutions

  • MathewsMD
  • · Replies 5 ·
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5

Graduate Solve Integral & Bernoulli Diff Equation: Step-by-Step Guide

  • Calculuser
  • · Replies 1 ·
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1

Graduate How to Optimize a 2D Nonlinear Heat Conduction Solver in MATLAB?

  • range.rover
  • · Replies 1 ·
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1

Graduate Rearrange equation (solution of ODE)

  • Juggler123
  • · Replies 5 ·
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5

Undergrad Is the Derivative of a Function a Differential Equation?

  • rakeru
  • · Replies 6 ·
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6

Is my vertical component calculation correct?

  • Dethrone
  • · Replies 1 ·
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1

Graduate Integral of a unit step function difference over t²

  • sinaphysics
  • · Replies 2 ·
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2

Extension of Spring from Mass of 50N

  • Dustinsfl
  • · Replies 3 ·
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3

Graduate Homogeneous 2nd Order DE from spring pendulum

  • DavitosanX
  • · Replies 1 ·
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1

Recommend books for dynamical systems?

  • nacho-man
  • · Replies 3 ·
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3

Graduate Perron method: proving maximum to be subharmonic

  • 4real4sure
  • · Replies 2 ·
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2

Graduate On nonlinearity parameter in Nonlinear Schrodinger Equation (NLS)

  • vijay0
  • · Replies 1 ·
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1

Graduate Helmholtz equation and Multislice approach

  • eoghan
  • · Replies 1 ·
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1

Graduate Final velocity of a rocket launching to space

  • ellipsis
  • · Replies 5 ·
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5

Undergrad Is there a connection between cross product and determinant?

  • kidsasd987
  • · Replies 2 ·
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2

Solving xy'' + y' + xy = 0 to get Bessel function

  • frank1234
  • · Replies 2 ·
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2

Graduate Integrating sine where argument goes to infinity.

  • sreerajt
  • · Replies 4 ·
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4

Natural frequency of a crane dropping a car

  • Dustinsfl
  • · Replies 3 ·
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3

Get the right answer but intermediate steps may be wrong

  • find_the_fun
  • · Replies 1 ·
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1

Graduate Partial differential - difference of opinion

  • Roodles01
  • · Replies 2 ·
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2

Graduate Second derivative of an autonomous function

  • MathewsMD
  • · Replies 1 ·
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1

What is "identical to" operator?

  • find_the_fun
  • · Replies 6 ·
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6

Graduate Is the Boundary Value Problem affected by shear force or moments?

  • Nusc
  • · Replies 9 ·
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9

Graduate Solving ∂ₓFₓ + ∂ᵧFᵧ = g(x,y) for F

  • matt_crouch
  • · Replies 4 ·
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4

Undergrad Change order between integral and differential calculation

  • micheal9000
  • · Replies 1 ·
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1

Graduate Proving a piecewise function is continuous at sin(c) = cos(c)

  • Unusualskill
  • · Replies 1 ·
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1

Natural frequency of a pendulum being lowered at 2m/s

  • Dustinsfl
  • · Replies 4 ·
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4

Graduate Schlaefli integral satisfies Legendre equation

  • stephenkeiths
  • · Replies 1 ·
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1

Graduate Solving Nonlinear Differential Equations

  • e2m2a
  • · Replies 7 ·
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7

Application of existence and uniqueness theorem

  • find_the_fun
  • · Replies 1 ·
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1

Solving y'' = 2ay³ - (a+1)y with initial conditions

  • frank1234
  • · Replies 2 ·
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2

Calculating Time for Iodine 131 to Decay to 5% of Initial Dose

  • Pikachu1
  • · Replies 1 ·
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1

Graduate Obtaining recurrence relation from a given sequence

  • mnb96
  • · Replies 2 ·
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2

Solve 1st-Order ODE: Chicken in 375° Oven

  • find_the_fun
  • · Replies 1 ·
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1

Solving (dy/dx)² = (ay⁴)/2 - (a+1)y² + 1 with y(0)=0, y'(0)=1

  • frank1234
  • · Replies 1 ·
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1

Graduate Solving r²(dT/dr)+BrT=T² with substitution λ=T/r

  • leomclaughlin
  • · Replies 1 ·
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1

How Can I Solve This Second Order Linear ODE Problem?

  • danthatdude
  • · Replies 5 ·
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5

Graduate Can I Use E-L Equations When Parametrizing by Arclength on a Sphere?

  • Blazejr
  • · Replies 2 ·
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2

Graduate How do I accurately measure error in my n-body simulation?

  • DivergentSpectrum
  • · Replies 3 ·
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3

Find specific solution to IVP with two parameters

  • find_the_fun
  • · Replies 5 ·
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5

Find Spring Constant \(k\) & Mass \(m\) for Natural Frequency

  • Dustinsfl
  • · Replies 2 ·
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2

Undergrad What Would a Constant-G Roller Coaster Loop Look Like?

  • curiousnoncat
  • · Replies 2 ·
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2
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11

Graduate Perturbation method for Duffing-type equation with cubic nonlinearity

  • Johnmm
  • · Replies 11 ·
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11

How to tell if a function's derivative is always positive?

  • find_the_fun
  • · Replies 3 ·
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3

Graduate Periodic Solution to Differential Equation

  • rosogollah
  • · Replies 1 ·
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1

Eigenfunction expansion with chebyshev

  • nacho-man
  • · Replies 8 ·
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8
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10

Undergrad Where does the Laplace Transform come from?

  • paradoxymoron
  • · Replies 13 ·
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13

Graduate Solving the N Body Problem with RK4: Verification & Convergence

  • DivergentSpectrum
  • · Replies 2 ·
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2

Graduate Solving the N-Body Problem: Is it Possible?

  • fando1234
  • · Replies 7 ·
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7

Graduate Why are advanced finite-element methods not more popular?

  • Hologram0110
  • · Replies 10 ·
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10

Graduate Why neglect higher-order terms in Taylor expansion of g(x) for Dirac delta

  • sinaphysics
  • · Replies 1 ·
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1

Graduate Solution of diffusion equation with three independent variable (r,z,t)

  • nazmulislam
  • · Replies 2 ·
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2

Domain & Interval of Solution for y=x+4\sqrt{x+2}

  • find_the_fun
  • · Replies 3 ·
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3

Graduate Helmholtz in spherical co-ordinates - Boundary Conditions

  • Gwinterz
  • · Replies 3 ·
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3

Undergrad Is the Differential Equation (y^2 - 1)*dx/dy + x = 0 Linear?

  • RiceKernel
  • · Replies 2 ·
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2

Graduate Why Does the Solution of Underdamped Systems Include a Sine Term?

  • tomizzo
  • · Replies 1 ·
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1

Undergrad Why normalize equations when solving numerically?

  • GabDX
  • · Replies 3 ·
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3

Graduate Derivation of solution to ∂α/∂t = G[α](a' - a)

  • Lyndz
  • · Replies 4 ·
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4

Definition of differential equation

  • find_the_fun
  • · Replies 3 ·
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3
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7

Undergrad Linear first order differential equation with unknown function

  • DMT69
  • · Replies 5 ·
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5

What kind of motion will the body do?

  • mathmari
  • · Replies 8 ·
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8

Graduate Linear equations with varying coefficients

  • V0ODO0CH1LD
  • · Replies 1 ·
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1

Graduate Stability of linearly perturbed linear nonautonomous system

  • dmytro
  • · Replies 1 ·
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1

Help understanding the adjoint equation

  • nacho-man
  • · Replies 3 ·
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3

Graduate Differential equation for projectile

  • Feeh
  • · Replies 2 ·
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2

What are the integral curves of vector field V?

  • Aryth1
  • · Replies 1 ·
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1

Undergrad What is the Definition of a Linear ODE?

  • JeweliaHeart
  • · Replies 4 ·
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4

Graduate 'Mean Aversion' in Stochastic Differential Equations

  • Apogee
  • · Replies 6 ·
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6

Graduate Eigenfunctions of Laplace Transform

  • Whovian
  • · Replies 2 ·
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2

Obtaining Differential Equations with Solution

  • cheatmenot
  • · Replies 4 ·
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4

Compute Discrete Time Fourier Transform

  • nacho-man
  • · Replies 1 ·
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1

Graduate Why does the second shifting theorem require u(t-a)?

  • asitiaf
  • · Replies 2 ·
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2

Book Recommendation for Ordinary Differrential Equations.

  • caffeinemachine
  • · Replies 3 ·
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3

Laplace Transform, Finding solution: y′′+4y′+4y=f(t)

  • jakejakejake
  • · Replies 1 ·
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1

Graduate Questions about linear differential equations

  • V0ODO0CH1LD
  • · Replies 13 ·
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13

Graduate Define boundary conditions of a polygon in a unit square cell

  • tomallan
  • · Replies 2 ·
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2

Graduate Solution of differential equation with Dirac Delta

  • SarthakC
  • · Replies 2 ·
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2

Graduate Solving an Initial Value Problem with a Sinusoidal Differential Equation

  • JamesGoh
  • · Replies 4 ·
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4

Graduate Coupled equation transformation

  • mikengan
  • · Replies 1 ·
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1

Graduate Steady state heat equation:-((∂^2 T)/(∂x^2 )+(∂^2 T)/(∂y^2 )=-Q(x,y)

  • range.rover
  • · Replies 2 ·
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2

Constructing transfer block function

  • nacho-man
  • · Replies 1 ·
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1

Graduate Is There a Function G Such That G_x Equals -F_y and G_y Equals F_x in R?

  • Medicol
  • · Replies 3 ·
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3

Graduate Function whose Fourier transform is Dirac delta

  • papernuke1
  • · Replies 5 ·
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5

Graduate Why are Sturm-Louville Functions Orthogonal Relative to a Weight Function?

  • member 428835
  • · Replies 8 ·
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8