I cant figure out how to do this type of problem!
Consider the first order differential equation y′+(x/(x^2−4))y=(e^x)/(x−9)
For each of the initial conditions below, determine the largest interval a<x<b on which the existence and uniqueness theorem for first order linear differential equations guarantees the existence of a unique solution.
y(-6)=1.7
y(13)=-4
y(0)=0
y(-.5)=-4
y(4.5)=-.5