Question

dicated initial condition. In #4-5, find the particular solution for each differential equation given the indicated initial 4 de -cosx=0, 600)=1. s. 1-2x = 0, y(0)= In 2

Answer 1

4 dies = cosx y() = 1 => dy = cosada Integrating both side we get Now Y(0) = 1 + 1 =c The general Setul barticular y = Sina te a solution is y = sinx+1. - - 7 e dy = 21 Y)= ln2. 7 eldy = axda yos) - Integrating both side we get => feldy - Jezde 7 ezate Now Y(0) =112 » n 2 = c 7e=2 Thus the particular solution of the differential equation is eě = *+2