OK, so clearly I am missing something, because I know this is supposed to be a simple problem. It reads:(adsbygoogle = window.adsbygoogle || []).push({});

solve the following initial value problem:

dy/dt=-y+5

y(0)=y_naught

my process is as follows:

dy/(5-y)=dt

integrate

ln(5-y)=t+C

exponential both sides

5-y=(e^t)(e^c)

y=5-(e^t)(e^c)

solve for constant:

y_naught=5-e^c

e^c=5-y_naught

final answer:

y=5-(5-y_naught)e^t

My book disagrees with this answer slightly, can anyone see where I've stumbled in the process?

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# Help with initial value problem

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