Solving higher order DE will determine if the equation in question is:

1. Homogenous

2. Inhomogenous

USING MATLAB TO SOLVE A HIGHER ORDER DE

An example of using MATLAB to solve an inhomogeneous higher order differential equation. The equation is:

yiv)-2yii+ yi=t3+2et

in MatLab:

simply write:

>> syms y

eqn = 'D4y - 2*D2y + Dy = t^3 +2*exp(t)'

eqn =

D4y - 2*D2y + Dy = t^3 +2*exp(t)

The notation D4y means the 4th derivative of y, Dky means the kth derivative (where k is a positive integer).

Solve this equation with the command dsolve, calling the solution, sol.

use the command pretty to print it, which will make it fit appropriatly.

sol = dsolve(eqn);

pretty(sol)

further, to simplify solution,

>>pretty (simplify(sol))

For numerical analysis of further examples, you may contact me on:

[email protected] or 

SKYPE name: marvinama