1. (75pts) find the solutions for each of them below: dy (a) dx dy +2y=-3- +16e (b) +2y=- +10y+1, y(0)=2 dx (c) x² dy dx dx dy dx =y³ (d) (-sin x cos y + x²)dx+(-cosxsin y+y)dy=0 (e) +4y=10y³ dy dx 2. (25pts) Find the current i(t) in the LR-circuit as below. Where R = 20 2 (v). When t=0, the switch is on. (by the way, for the L-1 H, and E(t)=10e -0.51 inductor, v, (f) L- di(t) = and L dt di(t) dt +Ri(t)= E(r), i(0)=0.) R=201 w Et) 750- = 100) ee L=1H