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Question: The solution of \(\frac{dy}{dx} = \frac{ax + h}{by + k}\) represents a parabola when –...

The solution of dydx=ax+hby+k\frac{dy}{dx} = \frac{ax + h}{by + k} represents a parabola when –

A

a = 0, b = 0

B

a = 1, b = 2

C

a = 0, b ≠ 0

D

a = 2, b = 1

Answer

a = 0, b ≠ 0

Explanation

Solution

∫ (by + k) dy = ∫(ax + x) dx

by2/2 + ky = ax2/2 + hx + c represent parabola when b = 0, a ≠ 0 , b ≠ 0, a = 0