Consider the differential equation \frac{dy}{dx} = (1 + y^{2}) x. The general solution with constant C is

Correct Answer is : y=tan⁡(x22+c)

y = \tan ⁡\frac{x^{2}}{2} + tanc

y = \tan ^{2} (\frac{x}{2} + c)

y = \tan ^{2} (\frac{x}{2}) + c

y = \tan ⁡ (\frac{x^{2}}{2} + c)

GATE Mechanical Engineering(ME) 2011 Solved Paper

Question : 43 of 65

Marks: +1, -0

Consider the differential equation

\;{dy}/{dx} = (1 + y^{2}) x

. The general solution with constant C is

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