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Question: A solution of the differential equation \(\left( \frac{dy}{dx} \right)^{2} - x\frac{dy}{dx} + y = 0\...

A solution of the differential equation (dydx)2−xdydx+y=0\left( \frac{dy}{dx} \right)^{2} - x\frac{dy}{dx} + y = 0is

A

y = 2

B

y = 2x

C

y=2x-4

D

y=2x2−4.y = 2x^{2} - 4.

Answer

y=2x-4

Explanation

Solution

Clearly, y = 2x – 4 satisfies the given differential

equation.