Question: (25 points total) Given the differential equation:(a)(15 points) Find the general solution of the differential equation:d2ydx24dydx4y=e-2xlnxwith initial conditions:y(1)=0,dydx(1)=1Show all steps and fully determine all constants

(25 points total) Given the differential equation:(a)(15 points) Find the general solution of the differential equation:d2ydx24dydx4y=e-2xlnxwith initial conditions:y(1)=0,dydx(1)=1Show all steps and fully determine all constants in your solution.(b)(10 points) Using the general solution from part (a)(before applying the initial conditions), and find the general solution to the modified equation:d2ydx24dydx4y=e-2xlnx3xe-2xNote: Treat this as a new problem with new arbitrary constants (e.g.D1,D2 instead of (:C1,C2

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