Question: how to solve this non-linear and non-homogen equation second-order?

non-linear and non homogen equation second-order..

1.) y"+y^2 = x^4 + 2

with 0<x<1, y(0)=0, y(1)=1

2.) y"+y^2 = -b*y^2 * y'

with y(0)=1, y'(0)=0 and b=0.1 ; 0.3 ; 0.5 ; 0.7

how to solve thats??

 

thanks in advance.

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