Question

I need the general solution to dy/dt + 5y = 0; y(0)=1

Answer 1

\[\implies \frac{dy}{dt} = -5y \implies y=Ce^{-5t}\]\[y(0) = 1 \implies 1 = Ce^{-5(0)} = C(1) = C\]\[\implies y=e^{-5t}\]