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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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Solve Block Sliding on Plane: Coeff of Friction, Drag Force

Apr 28, 2004 · Replies 7 · Apr 30, 2004

Replies: 7

Views: 3K

How do I find the laplace transformation of i(t)=(t)(e^t)(sinkt)?

Apr 29, 2004 · Replies 6 · Apr 30, 2004

Replies: 6

Views: 3K

Show that reaction-diffusion PDE is linear

Apr 20, 2004 · Replies 2 · Apr 28, 2004

Replies: 2

Views: 5K

Efficient Laplace Transform for t*cos(3t) and e^(2t)sin(4t) Functions

Apr 25, 2004 · Replies 3 · Apr 27, 2004

Replies: 3

Views: 3K

Is the Probability of Solving a Differential Equation Always Zero?

Apr 23, 2004 · Replies 3 · Apr 26, 2004

Replies: 3

Views: 3K

How Is Bacterial Population Growth Modeled by a Differential Equation?

Apr 18, 2004 · Replies 2 · Apr 25, 2004

Replies: 2

Views: 3K

Find Laplace Transform of (e^t + 2t^4 - cos (4t) + 10)

Apr 22, 2004 · Replies 8 · Apr 24, 2004

Replies: 8

Views: 5K

? - infinitely differentiable solutions to initial value problems

Apr 23, 2004 · Replies 4 · Apr 23, 2004

Replies: 4

Views: 4K

Challenging integrals and derivatives to try

Apr 7, 2004 · Replies 3 · Apr 23, 2004

Replies: 3

Views: 5K

How to Find the Laplace Transform of an Unknown Solution Function?

Apr 22, 2004 · Replies 2 · Apr 22, 2004

Replies: 2

Views: 2K

Word Problem: Find Position/Motion of Object Weighing 128lbs

Apr 21, 2004 · Replies 5 · Apr 22, 2004

Replies: 5

Views: 3K

Can an Object Attached to a Spring Return to its Equilibrium Position Only Once?

Apr 21, 2004 · Replies 5 · Apr 22, 2004

Replies: 5

Views: 3K

Prove that f(x) is not differentiable at x=0

Apr 21, 2004 · Replies 2 · Apr 21, 2004

Replies: 2

Views: 3K

Taylor Series Problem Solved: Coefficient of x^7

Apr 17, 2004 · Replies 3 · Apr 20, 2004

Replies: 3

Views: 19K

Inverse Laplace Transformation Problem

Apr 20, 2004 · Replies 2 · Apr 20, 2004

Replies: 2

Views: 3K

How Does the Peak Radiative Flux from Planck's Law Vary with Temperature?

Apr 11, 2004 · Replies 2 · Apr 19, 2004

Replies: 2

Views: 9K

Is L a Linear Transformation on the Space of Differentiable Functions?

Apr 17, 2004 · Replies 4 · Apr 18, 2004

Replies: 4

Views: 3K

How do I solve a 2nd order DE with constants a, b, c1, and c2?

Apr 14, 2004 · Replies 11 · Apr 18, 2004

Replies: 11

Views: 5K

Laplace transform: where am I messing up?

Apr 16, 2004 · Replies 3 · Apr 16, 2004

Replies: 3

Views: 3K

How Does Maxima Solve the Differential Equation r=Kt/((dr/dt)²-c²)?

Jan 28, 2004 · Replies 27 · Apr 14, 2004

Replies: 27

Views: 6K

All separable equations are exact?

Apr 13, 2004 · Replies 2 · Apr 14, 2004

Replies: 2

Views: 15K

Numerical solutions to differential equations

Apr 2, 2004 · Replies 3 · Apr 11, 2004

Replies: 3

Views: 5K

Taylor Series Solution for y'' = e^y at x=0, y(0)=0, y'(0)=-1

Apr 10, 2004 · Replies 2 · Apr 10, 2004

Replies: 2

Views: 3K

Why is there no symbol for partial integration?

Mar 31, 2004 · Replies 2 · Apr 7, 2004

Replies: 2

Views: 6K

Solve DE: Use Variation Parameters - y''' - y" + y' -y= e^(-t)sint

Apr 1, 2004 · Replies 7 · Apr 2, 2004

Replies: 7

Views: 4K

Solving Non-Linear ODE's with Constant Coefficients

Jan 25, 2004 · Replies 4 · Mar 30, 2004

Replies: 4

Views: 4K

Inhomogeneous Initial, Boundary Value Theorem Proof

Mar 22, 2004 · Replies 11 · Mar 28, 2004

Replies: 11

Views: 4K

Poll

Percetange of lefties in mathematics?

Mar 24, 2004 · Replies 4 · Mar 27, 2004

Replies: 4

Views: 5K

What are some recommended books for learning differential equations?

Mar 19, 2004 · Replies 9 · Mar 27, 2004

Replies: 9

Views: 8K

How do I apply the Product Rule to three functions instead of just two?

Feb 17, 2004 · Replies 6 · Mar 27, 2004

Replies: 6

Views: 63K

Variation of Parameters for Solving Differential Equations

Mar 22, 2004 · Replies 2 · Mar 25, 2004

Replies: 2

Views: 4K

How Do You Solve This Tricky Differential Equation?

Mar 9, 2004 · Replies 5 · Mar 24, 2004

Replies: 5

Views: 4K

Solve Radio Filter Problem Using Ohm's Law & Kirchhoff's Rule

Mar 15, 2004 · Replies 1 · Mar 22, 2004

Replies: 1

Views: 4K

Solving the Wave Eqt Using Fourier Series-

Mar 8, 2004 · Replies 25 · Mar 13, 2004

Replies: 25

Views: 9K

Nonlinear system of differential equations

Feb 29, 2004 · Replies 2 · Mar 13, 2004

Replies: 2

Views: 5K

Trouble solving this differential equation

Feb 20, 2004 · Replies 5 · Mar 4, 2004

Replies: 5

Views: 3K

About Feynman-Kac equivalence between PDE and SDE

Feb 22, 2004 · Replies 1 · Feb 29, 2004

Replies: 1

Views: 7K

How Can I Calculate dy/dx for x^2 - xy - y^2 = 3?

Feb 19, 2004 · Replies 7 · Feb 24, 2004

Replies: 7

Views: 6K

Lagrangian method for equation of motion

Feb 15, 2004 · Replies 2 · Feb 23, 2004

Replies: 2

Views: 5K

Stochastic Partial Differential Equation Averaging.

Feb 10, 2004 · Replies 1 · Feb 17, 2004

Replies: 1

Views: 8K

How Can Momentum Improve RK4 Integration in Vehicle Physics?

Jan 28, 2004 · Replies 2 · Feb 13, 2004

Replies: 2

Views: 5K

Finding solutions to equations of motion

Feb 2, 2004 · Replies 2 · Feb 3, 2004

Replies: 2

Views: 8K

Is This Second-Order Differential Equation Solvable?

Jan 21, 2004 · Replies 2 · Jan 28, 2004

Replies: 2

Views: 4K

Solving the ODE with Arbitrary Constants: A Search for Analytic Solutions

Jan 17, 2004 · Replies 3 · Jan 19, 2004

Replies: 3

Views: 4K

Solving Coupled PDEs Numerically with Unknown Functions u(x,y) and v(x,y)

Jan 2, 2004 · Replies 2 · Jan 15, 2004

Replies: 2

Views: 6K

How Does the General Solution of a Second-Order Differential Equation Look?

Jan 1, 2004 · Replies 2 · Jan 9, 2004

Replies: 2

Views: 4K

Laplace transforms and the shifting theorem

Dec 9, 2003 · Replies 5 · Dec 29, 2003

Replies: 5

Views: 8K

What Is the General Form of Functions in a Divergence-Free Vector Field?

Dec 21, 2003 · Replies 2 · Dec 28, 2003

Replies: 2

Views: 11K

Uncovering the Practical Applications of Differential Equations

Dec 19, 2003 · Replies 5 · Dec 22, 2003

Replies: 5

Views: 5K

Differentiating mult-variable equation

Dec 16, 2003 · Replies 2 · Dec 17, 2003

Replies: 2

Views: 7K

Can Anyone Solve These Challenging Differential Equations?

Dec 14, 2003 · Replies 2 · Dec 15, 2003

Replies: 2

Views: 4K

Solving a differential equation: f = ma, f = -kx -bv

Nov 17, 2003 · Replies 3 · Dec 3, 2003

Replies: 3

Views: 10K

Understanding Partial Differentials of a Function

Nov 4, 2003 · Replies 3 · Nov 6, 2003

Replies: 3

Views: 6K

Differential equations y''-xy'+2y=0?

Oct 30, 2003 · Replies 3 · Nov 1, 2003

Replies: 3

Views: 5K

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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