Question: According to Problem 51 in Section 5.1, the substitution v = ln x (x > 0) transforms the second-order Euler equation ax 2 y'' +

According to Problem 51 in Section 5.1, the substitution v = ln x (x > 0) transforms the second-order Euler equation ax²y'' + bxy' + cy = 0 to a constant-coefficient homogeneous linear equation. Show similarly that this same substitution transforms the third-order Euler equation

(where a, b, c, d are constants) into the constant coefficient equation

axy" + bxy" + cxy' + dy = 0

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