Ordinary Differential Equations - ODEs

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IMPORTANT You will need to have a WolframAlpha Pro account to use Wolfram effectively.

Wolfram has it’s own documentation.

Solving a System

Solving ODEs with initial conditions is trivial. You can type /your equation/, /initial condidion 1/, /initial condition 2/ and Wolfram will give you a general solution.

Damping

You can use exactly the same method as above to solve damped systems. Instead of a simple equation, 6x'' + 2x = 0, add a damping goefficient: 6x'' + 3x'+ 2x = 0, like this.

Examples

• Euler’s number plot along with its derivative for the case of exp(x) and exp(-x). Visualize the trigonometric functions and their derivatives.
• Solve a spring-mass system with initial conditions in an idealized system, considering the mass, m, and a spring stiffness, k. You can visualize the solution of x(t) as well.