Question

Find the general solution of the differential equation. (use c for the constant of integration.) dr dt = 8et 1 − e2t

Answer 1

Try this solution:
if given dr/dt=8e^t -e^(2t), then
$\frac{dr}{dt}=8e^t-e^{2t}; \ \int\ {dr} \, =\int\ (8e^t-e^{2t})dt; \ r=8e^t- \frac{1}{2}e^{2t}+C.$