How to find undetermined coefficients using initial conditions?

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ROJO 2017-1-31

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https://ww2.mathworks.cn/matlabcentral/answers/322626-how-to-find-undetermined-coefficients-using-initial-conditions

评论： ROJO 2017-1-31

Hi, I would like to solve a differential equation something like y=exp(-t)*(c1(cos(w*t)+c2*sin(w*t))).

I have initial conditions as y(0) = 0, and y'(0) = 0.

Using these initial conditions, how can I get the c1 and c2, which are undetermined coefficients? It's pretty straightforward by hand, but it's tricky to code.

Thank you in advance.

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John D'Errico 2017-1-31

编辑：John D'Errico 2017-1-31

Um, that is not a differential equation.

And why is it tricky to code? What have you tried? Show that you are making an effort, and you are more likely to get help. For example, how might you use solve to find the solution?

ROJO 2017-1-31