My question is
Consider the initial value problem
subject to the intitial condition where X and Y are constants.
a)For which values of X and Y does the existence and uniqueness theorem ensure the existence of a unique solution? If a unique solution can be shown to exist, will it exist for all values of .
b)Find the general solution of the ODE, using any suitable method.
In my notes i have a section on uniqueness of solutions but its not very detailed. It mentions Peano existence theorem and also mentions picard existence theorem.
I wanted to know what the difference what between these two theorems also.