Question

xy'''-3y'+e^(x)y=x^2-1
y(-2)=1,y'(-2)=0,y''(-2)=2
differential equations
In Problems 1–6, determine the largest interval (a,b) for which Theorem 1 guarantees the existence of a unique
solution on (a,b) to the given initial value problem

if someone could walk me through how these problems are worked it would be appreciated. my notes from class don't seem to be of any help

Answer 1

the answer is (-infinity,0)