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A solution of the differential equation ${(\frac{d y}{d x})}^{2} - x \frac{d y}{d x} + y = 0$ , is

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y=2

y=2x

y=2x−4

y=2x2−4

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detailed solution

Correct option is C

If y=2x−4, then dydx=2 Clearly, these values satisfy the differential equation

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A solution of the differential equation dydx2−xdydx+y=0, is

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A solution of the differential equation ${(\frac{d y}{d x})}^{2} - x \frac{d y}{d x} + y = 0$ , is