Greetings, I have a few differential equation questions and I began to take this course at the beginning of this semester so I might have been doing obvious mistakes.These questions are from Ross, Differential Equations 1st edition chapter 2.2.
23.(a)Prove that if is a homogeneous equation, then the change of variables transforms this equation into a separable equation in the variables u and x.
(b)Use this result to solve
(c)Use this result to solve
In Q3 I found and unable to reduce this expresion to as given in the answers at the back of the book. In Q14 I got the following expression and unable to proceed further:
In Q23 I started with then letting x=uy leads
It follows that:
Is the aforementioned approach right or wrong?
Any help is appreciated,
Thanks in advance.