# 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

×