Hello everyone, i'm having troubles figuring out this problem. The directions say:(adsbygoogle = window.adsbygoogle || []).push({});

It is easy to check that for any value of c, the function

y = ce^{-2x} + e^{-x}

is solution of equation

y' + 2y = e^{-x}.

Find the value of c for which the solution satisfies the initial condition y(3)= 8.

So I pluged in 4 for x and y(x) i plugged in 8 and got:

8 = ce^(-2*3) + e^-(3)

8 = ce^-6 + e^-3

8/(e^-6+e^-3) = c

c = 153 which is wrong

i also tried ln(153) = 5, which is also wrong. any idea where i screwed up, thanks!

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# Homework Help: Finding C with inital condition, its wrong, any ideas why?

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