Question: 2. Given following second order differential equation ty (1 + t)y' + y = 0 t > 0 a) Lety1(t)= 1+: , 322(1) =et Show

2. Given following second order differential equation ty" (1 + t)y' + y = 0 t > 0 a) Lety1(t)= 1+: , 322(1) =et Show y1(t) and y2(t) are two distinct solutions of the above differential equation by using Wronskian. b) Write the general solution to the above differential equations. c) Let y(0) = 0 , y'(rr) = I: find the particular solution to the above differential equation

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