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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.

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Real-World Applications of Differential Equations

Apr 2, 2006 · Replies 6 · May 10, 2006

Replies: 6

Views: 3K

How to Solve Fick's Second Law for Spherical Diffusion?

May 9, 2006 · Replies 2 · May 9, 2006

Replies: 2

Views: 18K

How Can Laplace Transforms Solve an Initial Value Problem?

May 8, 2006 · Replies 7 · May 9, 2006

Replies: 7

Views: 3K

Is (1-D)g(x) the Correct Solution to the Differential Equation?

May 4, 2006 · Replies 5 · May 6, 2006

Replies: 5

Views: 2K

Differentiating Bessel Functions

Apr 4, 2006 · Replies 4 · May 2, 2006

Replies: 4

Views: 19K

Nonlinear Parabolic BVP: Possible Numerical Methods

Apr 20, 2006 · Replies 4 · Apr 23, 2006

Replies: 4

Views: 4K

Ode and pde-the major difference

Feb 14, 2006 · Replies 6 · Apr 21, 2006

Replies: 6

Views: 25K

Solve Nonlinear DE for CM Problem: Brute Force or Smarter?

Apr 9, 2006 · Replies 10 · Apr 16, 2006

Replies: 10

Views: 3K

What is the general Fourier series for an even function with a period of 4?

Apr 15, 2006 · Replies 2 · Apr 15, 2006

Replies: 2

Views: 3K

What is the equation that determines a dog's pursuit of a Frisbee?

Mar 16, 2006 · Replies 4 · Apr 8, 2006

Replies: 4

Views: 6K

How can I find linear functions that will tend to equilibrium in a given system?

Apr 7, 2006 · Replies 1 · Apr 8, 2006

Replies: 1

Views: 2K

Trivial solution method for constant coeff case

Mar 14, 2006 · Replies 15 · Mar 28, 2006

Replies: 15

Views: 4K

Poll

What's your favourite type of differential equation

Mar 27, 2006 · Replies 2 · Mar 27, 2006

Replies: 2

Views: 3K

Looking for Differential Equation Review

Mar 25, 2006 · Replies 2 · Mar 27, 2006

Replies: 2

Views: 5K

Euler's Method for Solving Differential Equations with Non-Uniform Step Sizes

Mar 24, 2006 · Replies 4 · Mar 26, 2006

Replies: 4

Views: 3K

How can Euler's method be adapted for two-dimensional systems?

Mar 22, 2006 · Replies 2 · Mar 23, 2006

Replies: 2

Views: 7K

Differential Equations: I hate them.

Mar 15, 2006 · Replies 5 · Mar 16, 2006

Replies: 5

Views: 6K

Numerical Solution to ODE System - IVP or BVP?

Mar 9, 2006 · Replies 6 · Mar 13, 2006

Replies: 6

Views: 10K

Any analytical solutions to this second order nonlinear DE?

Mar 7, 2006 · Replies 3 · Mar 12, 2006

Replies: 3

Views: 3K

ODE: limit as parameters tend to 0

Mar 4, 2006 · Replies 2 · Mar 4, 2006

Replies: 2

Views: 5K

Classifying a 2nd Order PDE: Understanding the Significance of the Discriminant

Feb 19, 2006 · Replies 2 · Feb 22, 2006

Replies: 2

Views: 5K

What is the relationship between volume in phase space and Liouville's Theorem?

Feb 13, 2006 · Replies 7 · Feb 22, 2006

Replies: 7

Views: 4K

Solving Nonlinear First Order Differential Equations | Methods and Techniques

Feb 14, 2006 · Replies 4 · Feb 20, 2006

Replies: 4

Views: 4K

Solving z(r) Equation with Boundary Conditions

Jan 25, 2006 · Replies 4 · Feb 19, 2006

Replies: 4

Views: 3K

Working on Constructing Equations

Aug 14, 2004 · Replies 3 · Feb 16, 2006

Replies: 3

Views: 8K

Symplectic Algorithm for Non-Separable Hamiltonian

Feb 1, 2006 · Replies 4 · Feb 9, 2006

Replies: 4

Views: 6K

What Is Discretization in Temperature Change Analysis?

Feb 8, 2006 · Replies 1 · Feb 8, 2006

Replies: 1

Views: 2K

What kind of model should I use to express temperature change in my experiment?

Feb 6, 2006 · Replies 1 · Feb 8, 2006

Replies: 1

Views: 3K

Limit Cycle Analysis: Uncovering the Solutions of DEs

Feb 6, 2006 · Replies 1 · Feb 6, 2006

Replies: 1

Views: 3K

Variable Seperable Solutions in PDEs

Feb 3, 2006 · Replies 2 · Feb 5, 2006

Replies: 2

Views: 5K

Solving 2 Equations with ODE and Diff

Feb 3, 2006 · Replies 1 · Feb 3, 2006

Replies: 1

Views: 5K

Calculating Log & Tan Terms in Asymptotic Expansion

Jan 26, 2006 · Replies 2 · Jan 28, 2006

Replies: 2

Views: 3K

A strange, but very simple, differential equation

Jan 20, 2006 · Replies 11 · Jan 23, 2006

Replies: 11

Views: 4K

Uncovering the Mystery of Percentage Labeling on Chocolate Bars

Jan 14, 2006 · Replies 23 · Jan 18, 2006

Replies: 23

Views: 4K

Showing a diff. eq. has no solutions

Jan 3, 2006 · Replies 4 · Jan 17, 2006

Replies: 4

Views: 4K

PDE: If u is a solution to a certain bound problem, question about laplacian u

Oct 6, 2005 · Replies 3 · Jan 16, 2006

Replies: 3

Views: 3K

Is the heat equation well posed?

Nov 25, 2005 · Replies 8 · Jan 16, 2006

Replies: 8

Views: 5K

Can the Geometry of Coefficient Parabolas Reveal ODE Solution Behavior?

Jan 13, 2006 · Replies 0 · Jan 13, 2006

Replies: 0

Views: 2K

Fredholm Integral of Second Kind, Eigenvalues

Jan 5, 2006 · Replies 9 · Jan 8, 2006

Replies: 9

Views: 5K

Inverse Fourier Transform of Bessel Functions

Jan 5, 2006 · Replies 2 · Jan 5, 2006

Replies: 2

Views: 19K

Looking for integrations for dummies

Dec 6, 2005 · Replies 3 · Jan 3, 2006

Replies: 3

Views: 5K

Asymptotic Matching for Fluid Mechanics: Arildno Refs

Dec 30, 2005 · Replies 4 · Jan 2, 2006

Replies: 4

Views: 2K

Why y=e^mx is taken as trial soln ?

Dec 11, 2005 · Replies 9 · Dec 30, 2005

Replies: 9

Views: 9K

Integrating Factors: Spotting D.E. Need for Factor

Sep 4, 2005 · Replies 6 · Dec 28, 2005

Replies: 6

Views: 3K

Linear dependence of bessel equation

Dec 26, 2005 · Replies 2 · Dec 26, 2005

Replies: 2

Views: 3K

Why Does J(-n)(x) Obey the Parity Rule?

Dec 26, 2005 · Replies 2 · Dec 26, 2005

Replies: 2

Views: 3K

How Does the Hamilton-Jacobi Equation Reveal Solutions Depending on Potential V?

Sep 15, 2005 · Replies 6 · Dec 20, 2005

Replies: 6

Views: 4K

Partial Differential equation problem

Dec 7, 2005 · Replies 1 · Dec 7, 2005

Replies: 1

Views: 2K

Cauchy-Euler Equations: Real-Life Applications & Examples

Sep 28, 2005 · Replies 5 · Dec 6, 2005

Replies: 5

Views: 7K

PDE's: examples I can do, real equations No.

Aug 4, 2005 · Replies 8 · Dec 5, 2005

Replies: 8

Views: 6K

How to Quickly Converge to a Limit Cycle in Higher Order Systems?

Nov 23, 2005 · Replies 10 · Nov 25, 2005

Replies: 10

Views: 3K

Legendre Polynomial: Understanding the Basics

Nov 22, 2005 · Replies 4 · Nov 23, 2005

Replies: 4

Views: 6K

Will Any Light Ray Striking a Slope Segment Reflect Through Point (0,k)?

Nov 6, 2005 · Replies 1 · Nov 22, 2005

Replies: 1

Views: 3K

Laplace Transform and complex contours

Nov 2, 2005 · Replies 25 · Nov 22, 2005

Replies: 25

Views: 7K

Fractional Differential Equations

Oct 25, 2005 · Replies 2 · Oct 29, 2005

Replies: 2

Views: 3K

H value in runge kutta method 2nd order

Oct 27, 2005 · Replies 1 · Oct 27, 2005

Replies: 1

Views: 11K

Table of differential equations? Online?

Oct 24, 2005 · Replies 2 · Oct 27, 2005

Replies: 2

Views: 23K

Solving Differential Equations with Simple Taylor Series Method

Sep 27, 2005 · Replies 4 · Oct 25, 2005

Replies: 4

Views: 5K

Understanding Non-Linear PDEs: Causes and Implications

Oct 10, 2005 · Replies 3 · Oct 22, 2005

Replies: 3

Views: 3K

Laplace's Eqn and Cauchy's Integral Formula

Oct 21, 2005 · Replies 1 · Oct 21, 2005

Replies: 1

Views: 5K

Understanding Differential Operators and their Relationship to O.D.E. Equations

Oct 17, 2005 · Replies 7 · Oct 21, 2005

Replies: 7

Views: 4K

Finding a Basis for O.D.Es with Same Roots

Oct 18, 2005 · Replies 8 · Oct 21, 2005

Replies: 8

Views: 3K

General solution to the euler-cauchy equation

Oct 17, 2005 · Replies 2 · Oct 18, 2005

Replies: 2

Views: 7K

A question in coupled differential equation

Oct 9, 2005 · Replies 17 · Oct 15, 2005

Replies: 17

Views: 7K

How Do I Solve This Interesting But Challenging ODE?

Oct 8, 2005 · Replies 2 · Oct 9, 2005

Replies: 2

Views: 3K

Green Functions: Solving Inhomog. ODE's with Ease

Oct 8, 2005 · Replies 4 · Oct 8, 2005

Replies: 4

Views: 3K

Solve Bernoulli Equation to Understanding

Oct 8, 2005 · Replies 3 · Oct 8, 2005

Replies: 3

Views: 4K

Can this PDE be solved using parametric functions?

Oct 4, 2005 · Replies 5 · Oct 6, 2005

Replies: 5

Views: 3K

Determine if a solution to a differential equation

Oct 1, 2005 · Replies 1 · Oct 2, 2005

Replies: 1

Views: 3K

Identifying Types of Differential Equations: Tips for Beginners

Oct 1, 2005 · Replies 1 · Oct 1, 2005

Replies: 1

Views: 3K

How to solve a differential equation using polar coordinate substitution?

Sep 25, 2005 · Replies 25 · Sep 28, 2005

Replies: 25

Views: 5K

Problem with Nonunique Solutions

Sep 24, 2005 · Replies 1 · Sep 24, 2005

Replies: 1

Views: 7K

Differential equation book and topics

Sep 23, 2005 · Replies 2 · Sep 23, 2005

Replies: 2

Views: 3K

Can Anyone Help Identify the Formulas for These Steam Engine Diagrams?

Sep 2, 2005 · Replies 10 · Sep 22, 2005

Replies: 10

Views: 3K

Concavity of an integral function

Sep 18, 2005 · Replies 1 · Sep 19, 2005

Replies: 1

Views: 6K

Semicircle Problem: What Does dA=R dR d(theta) Mean?

Sep 18, 2005 · Replies 17 · Sep 18, 2005

Replies: 17

Views: 9K

Prove Power Rule: Implicit Differentiation w/ Rational Exponents

Sep 11, 2005 · Replies 2 · Sep 11, 2005

Replies: 2

Views: 3K

Lipschitz Continuity and Uniqueness

Sep 7, 2005 · Replies 1 · Sep 9, 2005

Replies: 1

Views: 7K

Final paper submission (IJNS Special Issue):January 31, 2007

Sep 8, 2005 · Replies 1 · Sep 8, 2005

Replies: 1

Views: 2K

Stochastic differential equacions

Aug 4, 2005 · Replies 1 · Sep 7, 2005

Replies: 1

Views: 3K

How Do You Model Temperature with Fluctuating Ambient Conditions?

Sep 2, 2005 · Replies 1 · Sep 2, 2005

Replies: 1

Views: 11K

Solve Modeling Problem: Find Salt in Tank After 10 mins

Aug 27, 2005 · Replies 3 · Aug 28, 2005

Replies: 3

Views: 6K

Solving Differential Equations with Riccati Method

Aug 25, 2005 · Replies 6 · Aug 27, 2005

Replies: 6

Views: 4K

Solving Differential Equations Using Series Solutions

Aug 25, 2005 · Replies 11 · Aug 26, 2005

Replies: 11

Views: 3K

What is the behavior of the solution at the boundary x_m?

Aug 23, 2005 · Replies 7 · Aug 25, 2005

Replies: 7

Views: 3K

Solve y'' + (At + B)y' + (Ct + D)y = 0: Strategies

Aug 23, 2005 · Replies 9 · Aug 24, 2005

Replies: 9

Views: 3K

How Do I Solve A*(Uxx+Uyy)-B(x)*Ux=0 in Mathematica?

Aug 15, 2005 · Replies 2 · Aug 23, 2005

Replies: 2

Views: 6K

Reducing u(t)+Int(0->t) to Differential Equation

Aug 23, 2005 · Replies 3 · Aug 23, 2005

Replies: 3

Views: 3K

Solving the Equation - p^7 + p^3 - p^2 + 1 = 0

Aug 22, 2005 · Replies 6 · Aug 22, 2005

Replies: 6

Views: 2K

Solve the differential equation dy/dx=xy+y^2

Aug 21, 2005 · Replies 10 · Aug 22, 2005

Replies: 10

Views: 7K

Picard's Iteration: Solving dy/dx=y^2

Aug 21, 2005 · Replies 4 · Aug 22, 2005

Replies: 4

Views: 17K

me Split this Equation into 2 equations

Aug 21, 2005 · Replies 4 · Aug 21, 2005

Replies: 4

Views: 6K

Please help me to solve these 2 D.E

Aug 20, 2005 · Replies 2 · Aug 21, 2005

Replies: 2

Views: 3K

Why Can't the Initial Condition Be Solved in This Initial Value Problem?

Aug 5, 2005 · Replies 8 · Aug 19, 2005

Replies: 8

Views: 3K

Solution of this non-linear equation

Aug 16, 2005 · Replies 2 · Aug 16, 2005

Replies: 2

Views: 3K

Solving a Non-Exact O.D.E. with Coordinate Axis Shift

Aug 13, 2005 · Replies 30 · Aug 16, 2005

2

Replies: 30

Views: 7K

Solve RK4 in C++ for Sekhar Mass White Dwarf Star

Aug 5, 2005 · Replies 2 · Aug 14, 2005

Replies: 2

Views: 7K

How Do You Solve (2x-y+1)dx+(x+y)dy=0 Using a Linear Transformation?

Aug 4, 2005 · Replies 31 · Aug 14, 2005

2

Replies: 31

Views: 5K

Why Are There Different Methods for Solving Differential Equations?

Aug 2, 2005 · Replies 4 · Aug 2, 2005

Replies: 4

Views: 2K

Graphing Phase & Trajectory Solutions: A Simple Guide

Jul 29, 2005 · Replies 8 · Jul 31, 2005

Replies: 8

Views: 3K

Differential Equations

Differential equations form a branch of mathematics concerned with the study of functions and their rates of change. These equations involve derivatives and describe how a quantity changes concerning one or more independent variables.

They are widely used in modeling various real-world phenomena, from physics and engineering to biology and economics.

Differential equations come in various types, including ordinary differential equations (ODEs) dealing with single-variable functions and partial differential equations (PDEs) involving multiple variables. Solving differential equations provides insights into the behavior and evolution of dynamic systems, making them a fundamental tool in understanding complex processes and predicting future states in diverse scientific and engineering applications.

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