In: Advanced Math
Use power series approximations method to approximate the solution of the initial value problem: y"− (1+ x) y = 0 y(0) = 1 y'(0) = 2 (Write all the terms up to the power ). x^4
I have done it for you in detail. Kindly go through. Note that
we use the initial conditions to find
and
. And then using these we can find
and
.