How do I solve a second order ODE with boundary conditions?

I'm trying to solve the following differential equation:

y''+y'-6y=20e^t, y(0)=0, y'(0)=1

[Jan]

Numerically or symbolically?

[Westin Messer]

Numerically

[Jan]

Then convert the equation of order 2 to a system of equations of order 1 at first. (As Wikipedia or your text book for the simple details on demand.) Then write the function in Matlab and provide it to ode45 (assuming that the equation is not stiff). Try it and then come back to the forum, if you have a specific problem.

Answer 1

[Torsten]

Use "dsolve".

Best wishes

Torsten.

[Westin Messer]

How do I use dsolve with boundary conditions?

[Torsten]

Paragraph

"Solve differential equation with condition"

under

https://de.mathworks.com/help/symbolic/dsolve.html

Best wishes

Torsten.