Find the general solution to dy/dt = eᵗ sin(t). Note: One way to do this is by integration, but this is probably not the easiest way. Can you see another?
a) y(t) = -(1/2)eᵗ cos(t) + C
b) y(t) = (1/2)eᵗ cos(t) + C
c) y(t) = -(1/2)eᵗ sin(t) + C
d) y(t) = (1/2)eᵗ sin(t) + C