Question: In this problem you will solve the initial value problem17x2y''-76xy'+40y=0,y(1)=-6,y'(1)=-3(1) The largest intervals that may be considered for the domain of the solution to17x2y''-76xy'+40y=0 are

In this problem you will solve the initial value problem17x2y''-76xy'+40y=0,y(1)=-6,y'(1)=-3(1) The largest intervals that may be considered for the domain of the solution to17x2y''-76xy'+40y=0 are either(-inf, 0)orFor -type-inf and for type inf.(2) Let C1 and C2be arbitrary constants. The general solution to thehomogeneous differential equation 17x2y''-76xy'+40y=0is the functiony(x)=C1y1(x)+C2y2(x)=C1x817,+C2x5(3) The unique solution to the initial value problem17x2y''-76xy'+40y=0,y(1)=-6,y'(1)=-3is the function y(x)=for xin, inf

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