Consider the equation

Derive the transformation ,show that the equation reduces to where , and find the general solution.

I am a part-time maths student, so I havent done any calculus courses for about a year and a half (although I did a numerical analysis course last semester that looked at numerical methods for ODE's and PDE's) and I'm really rusty :(

This is my last semester, so I would really appreciate it if someone could help me understand this.

Thanks