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

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Westin Messer on 5 Feb 2018

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Commented: Torsten on 6 Feb 2018

Accepted Answer: Torsten

I'm trying to solve the following differential equation:

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

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Westin Messer on 5 Feb 2018

Numerically

Jan on 5 Feb 2018

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.

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Torsten on 5 Feb 2018

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https://ch.mathworks.com/matlabcentral/answers/380871-how-do-i-solve-a-second-order-ode-with-boundary-conditions#answer_303552

Use "dsolve".

Best wishes

Torsten.

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Westin Messer on 5 Feb 2018

How do I use dsolve with boundary conditions?

Torsten on 6 Feb 2018

Paragraph

"Solve differential equation with condition"

under

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

Best wishes

Torsten.

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