Question: In Problem 2 5 it was shown that the substitution x = l n ( t ) transforms the Euler equation t 2 d 2

In Problem 25 it was shown that the substitution x=ln(t) transforms the Euler equation t2d2ydt2+tdydt+y=0 into the second-order linear differential equation with constant coefficients d2ydx2+(-1)dydx+y=0. Use this result to find the general solution of the equation t2y''+2ty'-72y=0 for t>0.
NOTE: Use c1 and c2 as arbitrary constants.
In Problem 2 5 it was shown that the substitution

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