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Question

Mathematics Question on Differential equations

The differential equation of all parabolas whose axis is yaxisy-axis is

A

xd2ydx2dydx=0x \frac{d^{2} y}{dx^{2} } - \frac{dy}{dx} = 0

B

xd2ydx2+dydx=0x \frac{d^{2} y}{dx^{2} } + \frac{dy}{dx} = 0

C

d2ydx2y=0\frac{d^{2} y}{dx^{2} } - y = 0

D

d2ydx2dydx=0\frac{d^{2} y}{dx^{2} } - \frac{dy}{dx} = 0

Answer

xd2ydx2dydx=0x \frac{d^{2} y}{dx^{2} } - \frac{dy}{dx} = 0

Explanation

Solution

Answer (a) xd2ydx2dydx=0x \frac{d^{2} y}{dx^{2} } - \frac{dy}{dx} = 0