1.

Find the solution of differential equation, dy⁄dx = xy + x2, if y = 1 at x = 0.

A. \(1-\frac{x^2}{2!}+\frac{3x^4}{4!}-\frac{15x^6}{6!}+…\)
B. \(\frac{x}{1!}+\frac{3x^3}{4!}+\frac{15x^5}{6!}+…\)
C. \(\frac{x}{1!}-\frac{3x^3}{4!}+\frac{15x^5}{6!}-…\)
D. \(1+\frac{x^2}{2!}+\frac{3x^4}{4!}+\frac{15x^6}{6!}+..\)
Answer» E.


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