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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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Graduate Partial Differentiation, complication in variables held constant

Apr 1, 2005 · Replies 3 · Apr 2, 2005

Replies: 3

Views: 4K

Undergrad Integrating Population Differential Equation: Need Help!

Mar 29, 2005 · Replies 2 · Mar 30, 2005

Replies: 2

Views: 3K

Undergrad Equation and write the procedure? x+cos(x)=0

Mar 28, 2005 · Replies 5 · Mar 28, 2005

Replies: 5

Views: 18K

Undergrad Why Does Hooke's Law Favor Cosine Over Exponential Functions?

Mar 27, 2005 · Replies 5 · Mar 27, 2005

Replies: 5

Views: 5K

Graduate Deriving the Exact Solution of the Schlichting ODE for Laminar Jet Flow

Mar 26, 2005 · Replies 3 · Mar 27, 2005

Replies: 3

Views: 4K

Graduate Solving Heavy ODE System to Compute Round Jet Near Field

Mar 10, 2005 · Replies 26 · Mar 26, 2005

Replies: 26

Views: 5K

Graduate How Can I Solve the Beam Equation using PDEs and the Frequency Domain?

Mar 23, 2005 · Replies 11 · Mar 26, 2005

Replies: 11

Views: 4K

Undergrad Difference between a differential, dx, and the change in a variable, delta x?

Mar 18, 2005 · Replies 2 · Mar 25, 2005

Replies: 2

Views: 3K

Graduate Solving the Differential Equation

Mar 20, 2005 · Replies 20 · Mar 25, 2005

Replies: 20

Views: 4K

Undergrad How Can I Solve Differential Equations Using Provided Web Code?

Mar 24, 2005 · Replies 2 · Mar 24, 2005

Replies: 2

Views: 3K

Graduate Why Use Power Series for Schrödinger Equation Solutions?

Mar 23, 2005 · Replies 9 · Mar 24, 2005

Replies: 9

Views: 4K

Graduate Can you find a non-recursive formula for y(n) with 4th order coefficients?

Mar 24, 2005 · Replies 3 · Mar 24, 2005

Replies: 3

Views: 6K

High School What methods can be used for finding a quadratic curve?

Mar 19, 2005 · Replies 3 · Mar 19, 2005

Replies: 3

Views: 3K

Undergrad Constant or variable coefficient?

Mar 14, 2005 · Replies 4 · Mar 17, 2005

Replies: 4

Views: 18K

Graduate Symplectic runge kutta for hamiltonian system

Feb 6, 2005 · Replies 4 · Mar 15, 2005

Replies: 4

Views: 7K

Undergrad Differential Equations - Video Lectures

Mar 13, 2005 · Replies 4 · Mar 15, 2005

Replies: 4

Views: 10K

Undergrad Forced vibrations w/ damping problem

Mar 10, 2005 · Replies 2 · Mar 11, 2005

Replies: 2

Views: 11K

Graduate Existence of solution in Sturm-Liouville DE

Mar 2, 2005 · Replies 2 · Mar 11, 2005

Replies: 2

Views: 3K

Graduate Losing a solution of a 1st order ODE?

Mar 10, 2005 · Replies 4 · Mar 10, 2005

Replies: 4

Views: 6K

Undergrad How do you solve a nonhomogeneous second order ODE with a cosine function?

Mar 8, 2005 · Replies 5 · Mar 8, 2005

Replies: 5

Views: 3K

Graduate Find Singular Solution to dy/dx=x(1-y^2)^(1/2)

Mar 6, 2005 · Replies 3 · Mar 7, 2005

Replies: 3

Views: 13K

Graduate Are All Eigenvalues of This Fourth-Order Eigenvalue Problem Real?

Mar 3, 2005 · Replies 17 · Mar 7, 2005

Replies: 17

Views: 10K

Graduate Solve Eigenvalue Problem for ODE: Find Eigenvalue & Eigenfunctions

Feb 28, 2005 · Replies 14 · Mar 5, 2005

Replies: 14

Views: 4K

Graduate What Is the Symbol \nabla^2? Definition & Explanation

Mar 2, 2005 · Replies 7 · Mar 2, 2005

Replies: 7

Views: 14K

Graduate Inverse Rotation Function Question

Feb 24, 2005 · Replies 12 · Mar 2, 2005

Replies: 12

Views: 4K

Graduate What is the uniqueness of solutions for linear equations at x=0?

Feb 20, 2005 · Replies 2 · Mar 2, 2005

Replies: 2

Views: 5K

Undergrad Solving ODE with Paper and Pencil: xy^2 - y = \frac {dy} {dx}

Feb 18, 2005 · Replies 3 · Mar 2, 2005

Replies: 3

Views: 2K

Graduate Solve Wronskian Problem: Find g(t) from f(t)=t

Feb 28, 2005 · Replies 6 · Mar 1, 2005

Replies: 6

Views: 4K

Graduate Learn Runge-Kutta for Solving Differential Equations

Feb 25, 2005 · Replies 4 · Feb 26, 2005

Replies: 4

Views: 3K

Graduate Solution for the Differential Equation

Feb 26, 2005 · Replies 2 · Feb 26, 2005

Replies: 2

Views: 3K

Graduate Designing a Damped Pendulum with a Forcing Function for Timekeeping

Feb 20, 2005 · Replies 5 · Feb 21, 2005

Replies: 5

Views: 3K

Graduate Is My Method of Getting Green's Function Solutions Wrong?

Feb 19, 2005 · Replies 2 · Feb 21, 2005

Replies: 2

Views: 3K

Undergrad Particle has position vector 2i + j

Feb 20, 2005 · Replies 6 · Feb 21, 2005

Replies: 6

Views: 2K

Graduate Solving Integral Equation: \phi(s) from y(s)

Feb 18, 2005 · Replies 3 · Feb 18, 2005

Replies: 3

Views: 5K

Undergrad What is the Laplace Rule and how does it work in image processing?

Feb 16, 2005 · Replies 2 · Feb 17, 2005

Replies: 2

Views: 7K

Graduate Can Green Functions Help Solve Differential Equations?

Feb 16, 2005 · Replies 3 · Feb 17, 2005

Replies: 3

Views: 3K

Undergrad Easy way to demonstrate the accuracy of Euler's Method

Feb 16, 2005 · Replies 2 · Feb 16, 2005

Replies: 2

Views: 6K

Undergrad Problem with Complex Second Order Equations

Feb 13, 2005 · Replies 6 · Feb 15, 2005

Replies: 6

Views: 3K

Graduate How do I solve complex differential equations involving velocity and time?

Feb 11, 2005 · Replies 5 · Feb 11, 2005

Replies: 5

Views: 3K

Graduate The generalized Lambert W-function

Feb 10, 2005 · Replies 6 · Feb 11, 2005

Replies: 6

Views: 6K

Undergrad What Distinguishes Exact from Inexact Differentials in Thermodynamics?

Feb 9, 2005 · Replies 5 · Feb 10, 2005

Replies: 5

Views: 9K

Undergrad Best Books for Ordinary Differential Equations

Dec 28, 2004 · Replies 10 · Feb 9, 2005

Replies: 10

Views: 45K

Graduate Indicial equation to Legendre's equation

Feb 7, 2005 · Replies 8 · Feb 9, 2005

Replies: 8

Views: 14K

Graduate Why Does the Laplacian Operator Differ for Functions of Space and Time?

Feb 8, 2005 · Replies 5 · Feb 8, 2005

Replies: 5

Views: 7K

Graduate Another question dealing with Frobenius method

Feb 8, 2005 · Replies 6 · Feb 8, 2005

Replies: 6

Views: 4K

Graduate Symmetry Analysis of Partial Differential Equations

Feb 4, 2005 · Replies 5 · Feb 6, 2005

Replies: 5

Views: 4K

Graduate Why does F'(x-ct) equal Dy/Dx in the wave equation for a string?

Feb 6, 2005 · Replies 4 · Feb 6, 2005

Replies: 4

Views: 5K

Undergrad Differentiate both sides with respect to x

Jan 30, 2005 · Replies 2 · Feb 6, 2005

Replies: 2

Views: 3K

Undergrad Is There a Theorem Relating Exponential and Trigonometric Functions?

Jan 29, 2005 · Replies 5 · Feb 5, 2005

Replies: 5

Views: 2K

Graduate Frobenius method with imaginary powers

Jan 30, 2005 · Replies 23 · Feb 3, 2005

Replies: 23

Views: 13K

Graduate Understanding differential equations backwards

Jan 12, 2005 · Replies 15 · Feb 3, 2005

Replies: 15

Views: 7K

Graduate Helping out a friendor at least trying to

Feb 2, 2005 · Replies 2 · Feb 2, 2005

Replies: 2

Views: 3K

Undergrad What is the Outcome of Solving a Partial Differential Equation?

Feb 1, 2005 · Replies 7 · Feb 1, 2005

Replies: 7

Views: 3K

Undergrad Linear ODE Systems in Numerical Methods.

Dec 9, 2004 · Replies 4 · Jan 29, 2005

Replies: 4

Views: 8K

Graduate Can this equation be solved analytically?

Dec 6, 2004 · Replies 7 · Jan 28, 2005

Replies: 7

Views: 3K

Undergrad What Should a 16-Year-Old Aspiring Astrophysicist Learn Next?

Dec 31, 2004 · Replies 7 · Jan 28, 2005

Replies: 7

Views: 3K

Graduate O: How to solve a 4th order non linear ODE using power series?

Dec 21, 2004 · Replies 5 · Jan 28, 2005

Replies: 5

Views: 7K

Graduate Understanding Euler's Method & Estimating Area Enclosed

Dec 26, 2004 · Replies 5 · Jan 27, 2005

Replies: 5

Views: 5K

Undergrad Methods that were used to solve the ODE

Jan 26, 2005 · Replies 4 · Jan 26, 2005

Replies: 4

Views: 2K

Graduate Please help with a fluid solver ^_^

Jan 24, 2005 · Replies 3 · Jan 26, 2005

Replies: 3

Views: 2K

Undergrad Solving a Rocket Sled Problem: Acceleration, Velocity and Time

Jan 24, 2005 · Replies 28 · Jan 24, 2005

Replies: 28

Views: 11K

Graduate Solving Numerical System of Equations for $\lambda$ and $\mu$

Jan 24, 2005 · Replies 2 · Jan 24, 2005

Replies: 2

Views: 2K

Undergrad Differentiation of fractional and negative powers

Jan 19, 2005 · Replies 4 · Jan 19, 2005

Replies: 4

Views: 11K

Graduate Linear Differential Equations in Kinematics

Jan 14, 2005 · Replies 36 · Jan 17, 2005

2

Replies: 36

Views: 6K

Undergrad Falling Bodies with air resitance

Jan 11, 2005 · Replies 24 · Jan 17, 2005

Replies: 24

Views: 23K

Undergrad What is the Length Integral Problem at Point (1,1)?

Jan 9, 2005 · Replies 2 · Jan 15, 2005

Replies: 2

Views: 5K

Graduate Need Help - Exact Integrating Factor?

Dec 30, 2004 · Replies 13 · Jan 13, 2005

Replies: 13

Views: 6K

Undergrad Is Separation of Variables a Valid Method for Reducing PDEs to ODEs?

Jan 12, 2005 · Replies 3 · Jan 12, 2005

Replies: 3

Views: 5K

Undergrad Preparing for Differential Equations: Tips for John in PDX

Jan 7, 2005 · Replies 7 · Jan 10, 2005

Replies: 7

Views: 3K

Undergrad What Does Differentiating Both Sides as Integrals of the Upper Limits Mean?

Jan 3, 2005 · Replies 2 · Jan 3, 2005

Replies: 2

Views: 3K

Undergrad How do I use the Laplace Transform to solve for the integral of sin ax?

Jan 1, 2005 · Replies 7 · Jan 2, 2005

Replies: 7

Views: 6K

Undergrad Find the path traced out by each ant

Dec 21, 2004 · Replies 7 · Dec 23, 2004

Replies: 7

Views: 3K

Graduate Solving Euler Equation for X^m (m^2 + 1)^2 = 0

Dec 6, 2004 · Replies 2 · Dec 22, 2004

Replies: 2

Views: 4K

Undergrad Linear ode with variable coefficient

Dec 15, 2004 · Replies 4 · Dec 16, 2004

Replies: 4

Views: 6K

Graduate How Does Convolution Theory Apply to Inverse Laplace Transforms?

Dec 8, 2004 · Replies 2 · Dec 15, 2004

Replies: 2

Views: 6K

Graduate How Do You Apply Boundary Conditions to Solve a Separable PDE in a Strip?

Dec 8, 2004 · Replies 2 · Dec 15, 2004

Replies: 2

Views: 3K

Undergrad Tangent ProblemIts givin me a really really bad headache

Dec 7, 2004 · Replies 2 · Dec 14, 2004

Replies: 2

Views: 3K

Undergrad Solving PDE: Is There a General Method or Just Guesswork?

Dec 13, 2004 · Replies 3 · Dec 13, 2004

Replies: 3

Views: 3K

Undergrad Solving Differential Equations to Solving 1/y' = (1/y)+(1/x)

Dec 7, 2004 · Replies 11 · Dec 13, 2004

Replies: 11

Views: 3K

Graduate What Is an Attracting Heteroclinic Cycle in a 3D Population Model?

Dec 5, 2004 · Replies 1 · Dec 11, 2004

Replies: 1

Views: 2K

Graduate Solving a System of Differential Equations

Dec 10, 2004 · Replies 2 · Dec 11, 2004

Replies: 2

Views: 2K

Graduate What Methods Can Be Used to Solve Coupled First Order PDEs?

Dec 1, 2004 · Replies 1 · Dec 8, 2004

Replies: 1

Views: 4K

Graduate Sturm Liouville and Self Adjoint ODEs

Nov 30, 2004 · Replies 2 · Dec 7, 2004

Replies: 2

Views: 7K

Undergrad How can I find the equilibrium points for a competing species model?

Nov 30, 2004 · Replies 2 · Dec 7, 2004

Replies: 2

Views: 5K

Graduate How Does the Solution of y' = 1/(1+x^2+y^2) Behave as x Approaches Infinity?

Dec 5, 2004 · Replies 2 · Dec 5, 2004

Replies: 2

Views: 3K

Graduate How Can I Find the Inverse Laplace Transform of These Functions?

Dec 4, 2004 · Replies 3 · Dec 5, 2004

Replies: 3

Views: 3K

Graduate Solving Diff Equation: y'' + ln(y) = yx

Oct 31, 2004 · Replies 10 · Dec 4, 2004

Replies: 10

Views: 4K

Graduate A few problems with the operator method .

Dec 1, 2004 · Replies 7 · Dec 3, 2004

Replies: 7

Views: 3K

Graduate Prove Uniqueness of DE General Method

Dec 1, 2004 · Replies 5 · Dec 3, 2004

Replies: 5

Views: 4K

Undergrad How can I graph an implicit equation on my TI-89/92 calculator?

Dec 1, 2004 · Replies 5 · Dec 2, 2004

Replies: 5

Views: 27K

Undergrad Understanding Heaviside Step Function - Explained with Examples

Dec 1, 2004 · Replies 3 · Dec 2, 2004

Replies: 3

Views: 5K

Graduate Divergence and solenoidal vector fields

Nov 28, 2004 · Replies 8 · Dec 1, 2004

Replies: 8

Views: 10K

Graduate Conserving Quantity in System of Equations: Idea or Miss?

Nov 30, 2004 · Replies 5 · Dec 1, 2004

Replies: 5

Views: 4K

Graduate Velocity of the solution of a diff. eq.

Nov 25, 2004 · Replies 7 · Dec 1, 2004

Replies: 7

Views: 5K

Undergrad Solving a Linear Differential Equation

Nov 29, 2004 · Replies 5 · Nov 30, 2004

Replies: 5

Views: 3K

Graduate Solving Ropewalk Equations - Help from Niko

Nov 20, 2004 · Replies 2 · Nov 28, 2004

Replies: 2

Views: 3K

Undergrad Homework help with mixture problem

Nov 20, 2004 · Replies 2 · Nov 27, 2004

Replies: 2

Views: 4K

Graduate System of differential equations - a big problem solving it

Nov 24, 2004 · Replies 7 · Nov 24, 2004

Replies: 7

Views: 8K

High School What are the equations of motion for uniform and accelerated motion?

Nov 23, 2004 · Replies 16 · Nov 24, 2004

Replies: 16

Views: 3K

Undergrad Solve Exact Equation: x dy-(2xe^x-y+6x^2) dx = 0

Nov 22, 2004 · Replies 4 · Nov 24, 2004

Replies: 4

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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