According to Problem 51 in Section 2.1, the substitution v = In x ( x > 0) transforms t...

According to Problem 51 in Section 2.1, the substitution v = In 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

ax2y′″ + bx2y″ + cxy′ + dy = 0

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