Question: Given that ( x 2 - 4 ) d y d x ( x 2 ) y = ( x - 2 ) e 2

Given that (x2-4)dydx(x2)y=(x-2)e2x is a first order linear differential equation, answer the following:
If the initial condition is y(-3)=0, will the initial value problem have a unique solution? If so, on what interval is the solution guaranteed to exist?
What about at y(1)=0?

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