Solve the following Cauchy-Euler equation: 9x 2 y′′−9xy′+9y=0 (1) Write the corresponding characteristic equation using the variable m: ....?.....=0. Note: do not simplify the coefficients. (2) Write...

Solve the following Cauchy-Euler equation:

9x²y′′−9xy′+9y=0

(1) Write the corresponding characteristic equation using the variable m:

....?.....=0.

Note: do not simplify the coefficients.

(2) Write the general solution with c1 and c2 arbitrary constants: y(x)=c₁
y₁(x)+c₂
y₂(x)=c₁....?.....+c₂....?. ...

(3) Finally, write the solution of the following initial value problem.
9x²y′′−9xy′+9y=0, y(1)=4, y′(1)=−5.

y(x)=?