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

Graduate Diffusion through membrane, which boundary condition to implement?

  • baseball1234
  • · Replies 1 ·
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1

Graduate How to derive the solution for potential flow around a circular cylinder

  • meldraft
  • · Replies 1 ·
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1

High School Learn How to Solve Equations: Tips and Tricks for Accurate Results

  • mit11
  • · Replies 1 ·
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1

Graduate Solving x with a*b*c^3, Pie^2, i & 16

  • arslan894
  • · Replies 1 ·
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1

Undergrad Linear Differential Equation Help

  • tylercollins
  • · Replies 2 ·
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2

Graduate From system of first-order to a single ODE

  • rsq_a
  • · Replies 5 ·
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5

Graduate Suggestions for scheme to use to solve PDE numerically

  • Chim
  • · Replies 6 ·
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6

Graduate Inverse laplace transform for unique diffusion type problem

  • Groundwater
  • · Replies 3 ·
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3

Undergrad Derivation of 2nd divided difference

  • roldy
  • · Replies 3 ·
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3

Graduate How to Solve Simultaneous Laplace Transforms?

  • hurcw
  • · Replies 6 ·
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6

Graduate Finding Equation to Describe Graph of Perceived vs Real Angles

  • PatternSeeker
  • · Replies 4 ·
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4

How can steady states be found for discrete models?

  • Dustinsfl
  • · Replies 13 ·
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13

Transform Boundary Conditions w/ Diff. $g_{0}, g_{1}$

  • Markov2
  • · Replies 1 ·
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1

Undergrad What is the Correct Way to Use the Integrating Factor Method for Proving an ODE?

  • hurcw
  • · Replies 10 ·
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10

Prove Existence & Uniqueness for Diff. Eq. w/ Measurable Coeff. & RHS

  • bkarpuz
  • · Replies 4 ·
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4

Solving Heat PDEs: Is There a Standard Procedure?

  • Markov2
  • · Replies 7 ·
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7

Another PDE and boundary conditions

  • Markov2
  • · Replies 5 ·
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5

Graduate ODE with a function of variable crazy equ

  • anirudhnandan
  • · Replies 4 ·
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4

Graduate Solving the Non-Linear ODE: Seeking Help

  • gizsim
  • · Replies 3 ·
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3

Graduate How Can I Solve This Complicated Bernoulli Equation?

  • 1d20
  • · Replies 8 ·
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8

Graduate How to Solve a PDE in Spherical Coordinates Using Vector Spherical Harmonics?

  • vibe3
  • · Replies 3 ·
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3

Undergrad Question about linear second order ODE solution coefficients

  • meldraft
  • · Replies 4 ·
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4

Undergrad Help with ODE using an integrating factor

  • hurcw
  • · Replies 8 ·
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8

Graduate ODE Approaching the expicit solution

  • freestar
  • · Replies 5 ·
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5

Graduate Solve laplace's equation on semi infinite strip

  • nathangrand
  • · Replies 1 ·
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1

Modeling Plankton Herbivory Dynamics

  • Dustinsfl
  • · Replies 11 ·
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11

Graduate Numerical Solutions to Laplace's equation in a wedge

  • Meurig
  • · Replies 5 ·
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5

Undergrad How Does the Alligator Population Change Over Time in a Swamp?

  • saintdick
  • · Replies 3 ·
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3

Graduate Solving for Time in a Volume Flow Rate DE - Help Needed

  • ryancalif
  • · Replies 3 ·
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3

Graduate Solve Navier Stokes Eq for Vo | Don't Get Prof's Answer

  • cycling4life
  • · Replies 1 ·
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1

Graduate KdV Equation - Modelling Soliton

  • quid
  • · Replies 23 ·
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23

Understanding Systems of DEs with Non-Zero $b(t)$

  • madflame991
  • · Replies 4 ·
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4

Graduate Separable Equation - Notation Question w/ Infinitesimals

  • neporuoydnim
  • · Replies 1 ·
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1
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6

Solving a Heat Equation with $\sin \pi x$

  • madflame991
  • · Replies 2 ·
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2

Graduate Can complex analysis be used to solve PDEs other than the Laplacian?

  • meldraft
  • · Replies 4 ·
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4

Graduate Chain Rule & PDES: Solving ∂z/∂u

  • Kork
  • · Replies 1 ·
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1

Undergrad How do you determine if a force field is conservative?

  • animboy
  • · Replies 7 ·
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7

How was u_1 and u_2 star determined

  • Dustinsfl
  • · Replies 1 ·
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1

Solving Separable Variables: Need Assistance!

  • shorty1
  • · Replies 6 ·
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6

Graduate Finite Element and CFL condition for the heat equation

  • pepgma
  • · Replies 5 ·
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5

Graduate Need help for solving a 2nd order nonlinear differential equation

  • fkendoul
  • · Replies 8 ·
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8

What Are the Steady States of the Nondimensionalized DE System?

  • Dustinsfl
  • · Replies 2 ·
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2

Graduate How to Solve this Second Order PDE with Fixed Boundaries in Y?

  • phonic
  • · Replies 1 ·
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1

Solving First Order PDEs: Laplace, Fourier & Separation of Variables

  • Markov2
  • · Replies 1 ·
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1

Solve Laplace Transform ODE: $\sin t, 0<t<\infty$

  • Markov2
  • · Replies 9 ·
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9

Solve Bounded $u_t=u_xx$ Let $u_t=u_xx,\,t>0,\,x\in\mathbb R$

  • Markov2
  • · Replies 3 ·
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3

Solution given by sum of functions on a PDE

  • Markov2
  • · Replies 1 ·
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1

Solving Linear First Order ODEs: y' + p(x)y = q(x)

  • Markov2
  • · Replies 5 ·
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5

Apply Fourier Transform to Solve t2u_t-u_x=g(x)

  • Markov2
  • · Replies 3 ·
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3

Solving PDF by using Fourier transform

  • Markov2
  • · Replies 4 ·
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4

Undergrad Using an integrating factor properly

  • cameuth
  • · Replies 1 ·
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1

A few small questions about differential equations

  • battleman13
  • · Replies 8 ·
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8

Graduate Analytical solution to the diffusion equation with variable diffusivity

  • kezman2000
  • · Replies 2 ·
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2

Graduate Finding Solutions to a PDE System with Known Scalar Function

  • vibe3
  • · Replies 1 ·
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1

Graduate Integrate dx/(1-x): Solve (2/3a)(1-(1-aW)^(3/2))

  • cycling4life
  • · Replies 1 ·
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1

Graduate Differential equation/rational function

  • nos
  • · Replies 2 ·
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2

Undergrad Where Did I Go Wrong in Solving This Initial Value Problem?

  • cameuth
  • · Replies 5 ·
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5

Need help with transforming one PDE to another

  • Kane1
  • · Replies 4 ·
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4

Graduate Help with nonlinear 1st order ODE

  • X89codered89X
  • · Replies 3 ·
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3

Is My Solution to the First-Order Separable ODE Correct?

  • ifeg
  • · Replies 15 ·
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15

Graduate Help for Heat Equation - Questions from Chen

  • chenrim
  • · Replies 1 ·
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1

Undergrad Why Is the Solution to dy/dx = -x/y Expressed as y^2 + x^2 = c?

  • fran1942
  • · Replies 3 ·
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3

Graduate Partial Fractions (Laplace Transform, complex roots)

  • sandy.bridge
  • · Replies 2 ·
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2

Undergrad Solving an ODE: Methods and Confusion

  • n00by
  • · Replies 8 ·
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8

Graduate Solving Implicit O.D.E: sin(y) + xy - x^3 = 2 | 2nd Order ODE Help

  • AST3019
  • · Replies 2 ·
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2

Graduate How can I solve this tough integral equation for a dipole magnetic field?

  • vibe3
  • · Replies 5 ·
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5

Undergrad How Do You Solve These Differential Equations Using Separation of Variables?

  • fran1942
  • · Replies 1 ·
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1

Undergrad Differentials of Composite Functions

  • LJoseph1227
  • · Replies 2 ·
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2

Undergrad First order non-separable linear deq's using an integration factor?

  • QuarkCharmer
  • · Replies 2 ·
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2

Undergrad Chain rule for implicit differentiation

  • Tuomo
  • · Replies 2 ·
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2

Graduate What Are the Commutators of Vector Operators?

  • thecommexokid
  • · Replies 4 ·
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4

Graduate How to Solve the Mixed Partial Differential Equation Given Boundary Conditions?

  • ArainGrass
  • · Replies 1 ·
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1

Graduate Heat Equation: Understand Propagation of Heat

  • Clausius2
  • · Replies 29 ·
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29

Undergrad Chain rule and cylindrical coordinates

  • cycling4life
  • · Replies 1 ·
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1

Graduate Where does the general solution for second order linear ODEs come from?

  • sandy.bridge
  • · Replies 2 ·
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2

Graduate Causality and the inhomogeneous wave equation with a moving source

  • nickthequick
  • · Replies 1 ·
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1

Graduate Linearize 2nd Order Diff Equations

  • MstrGnrl
  • · Replies 1 ·
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1

Graduate General solution to differential equations

  • dionysian
  • · Replies 2 ·
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2

Undergrad Help me learn to sketch phase portraits

  • Ribbed
  • · Replies 2 ·
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2

Graduate Solving Differential Equations for Tank of Water and Salt

  • sam_0017
  • · Replies 4 ·
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4

Graduate Using Change of Variable to Solve Transport Equation

  • Stalker_VT
  • · Replies 4 ·
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4

Graduate How Do You Solve the PDE u_x + x u_y = u + x with Initial Condition u(x,0)=x^2?

  • pde
  • · Replies 3 ·
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3

Graduate Picard method of succesive approximation

  • matematikuvol
  • · Replies 4 ·
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4

Graduate Autonomous System Summation: What is the sum of X1 + X2 + ... to infinity?

  • arentmuskets
  • · Replies 5 ·
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5

Graduate A pde question that contains fourier series

  • bcyalcin
  • · Replies 1 ·
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1

Graduate Non Linear ODE whose solution is can be viewed as a cumulative distribution function

  • Jeff.N
  • · Replies 1 ·
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1

Graduate Why Multiply Green Functions with Heaviside Step Function?

  • matematikuvol
  • · Replies 2 ·
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2

Graduate Solving Homogenous Eq. with Initial Conditions: u(x)=\int^x_0 f(s)g(x,s)ds

  • matematikuvol
  • · Replies 3 ·
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3

Graduate Harmonic oscillator with slight non-linearity

  • groinsmash
  • · Replies 1 ·
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1

Undergrad Solving Finite Difference BVP with Thomas Algorithm

  • all-black
  • · Replies 3 ·
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3

Graduate Solving y''+3iy'+y=cos(2t) with Undetermined Coefficients

  • cragar
  • · Replies 3 ·
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3

Graduate A basic ODE where Runge Kutta doesn't work?

  • h1a8
  • · Replies 6 ·
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6

Graduate Solving Simple PDEs for Beginners

  • phonic
  • · Replies 1 ·
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1

Graduate Understanding Nonlinear Differential Equations in Classical Mechanics

  • dm164
  • · Replies 6 ·
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6

Graduate Solving Navier-Stokes for Pressure in 1D

  • stanley.st
  • · Replies 6 ·
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6

Graduate PDE Iteration with cross product

  • Quakerbrat
  • · Replies 1 ·
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1

Undergrad Two phase decay equation solution

  • sherif1980
  • · Replies 1 ·
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1

Graduate Solving transcendental equations with discontinuities

  • wazzabi
  • · Replies 1 ·
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1

Graduate Lagrangian Mechanics and Differential Equations

  • exmachina
  • · Replies 2 ·
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2