Fun With Calculus-6

Calculus Level 5

If the first four terms of the power series expansion of the solution of the differential equation \[\large y''-(1+x^2) y=0\] satisfying the initial conditions \(y|_{x=0}=-2,y'|_{x=0}=2\) is

\[a+b x+c x^2+d x^3.\]. Then the value of \(a+b+c+d\) is


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