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The original problem is: y''+y^2=1 with initial values y(0)=2 and y'(0)=3. Instructions ask to use the...

The original problem is: y''+y^2=1 with initial values y(0)=2 and y'(0)=3. Instructions ask to use the appropiate substitution method. I was able to solve the problem by using a taylor expansion centered on 0. But it seems like the problem wants it to be solved by using the method of substitution when f(y'',y',y) and there is no independent variable.

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