## Question

###### Given that y_1(t)=t^2 is a solution to the differentialequation: 5t^2*y'' + 5t*y' -20*y = 0, use the reduction of ordersmethod to find another solution, y_2 using the initial valuesy_2(1)= -1/4 and y_2'(1) = 1/2.

Given that y_1(t)=t^2 is a solution to the differential equation: 5t^2*y'' + 5t*y' -20*y = 0, use the reduction of orders method to find another solution, y_2 using the initial values y_2(1)= -1/4 and y_2'(1) = 1/2.

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