e^(x^2 ) (d^2 y)/(dx^2 )=4

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1 Answer

d2y/dx2=4e-x²=4∑(-1)nx2n/n!

dy/dx=c1+4∑(-1)nx2n+1/((2n+1)n!)

y=c2+c1x+4∑(-1)nx2n+2/((2n+2)(2n+1)n!), where c1 and c2 are constants.

Infinite series for integer n≥0.

by Top Rated User (1.2m points)

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