How can I find a solution of the following differential equation: $$\frac{d^2y}{dx^2} =\exp(x^2+ x)$$
Thanks!
ordinary-differential-equationsintegration
asked 2012-12-20
user id:53792
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Alpha obtains an [answer](http://www.wolframalpha.com/input/?i=solve%20y%28x%29%27%27-exp%28x%5E2%2bx%29=0) in term of (imaginary) error function (this means that the primitive of the primitive of $e^{x^2+x}$ is not much more complicated than the primitive itself and that no elementary solution exists). – 2012-12-20
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You can also integrate the Taylor series termwise. – 2012-12-20