Question: Pls answer Problem 3a (15 pts) Solve the differential equation dy dx2 + 4y = cos(Inx) + xsin(Inx), r >0, by using the change of

Pls answer

Problem 3a (15 pts) Solve the differential equation dy dx2 + 4y = cos(Inx) + xsin(Inx), r >0, by using the change of variable r = et and then the method of undetermined coeffi- cients. Problem 3b (15 pts) Using variation of parameters, solve the differential equation y" - 4y' + 3y = Problem 3c (10 pts) Show that y1 = y1(t) = 1+t is a solution of the homogeneous equation ty"-(1+t)y' ty = 0, t > 0. Find the general solution using Abel's theorem for the Wronskian

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