Differential Equations.... 3

\frac{d^2y}{dx^2}(x^2+1) = 2x\frac{dy}{dx}

Solve for y

1 Answers

106

Asish Mahapatra ·2009-11-08 08:08:50

\frac{d(dy/dx)}{dx}(x^2+1) = 2x.(dy/dx)

\Rightarrow \frac{d(dy/dx)}{dy/dx} = \frac{2x}{x^2+1}dx

\Rightarrow ln(dy/dx) = lnk(x^2+1)

\Rightarrow (dy/dx) = k(x^2+1)

\Rightarrow y = k(x^3/3+x) + c

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