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Q.

The differential equation $\frac{dy}{dx} = \frac{1}{ax + by + c}$ where a, b, c are all non zero real numbers, is

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a

Linear in both x & y

b

Linear in y

c

Homogeneous equaton

d

Linear in x

answer is A.

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Detailed Solution

$\begin{array}{l} \frac{d x}{d y} = a x + b y + c \\ \Rightarrow \frac{d x}{d y} - a x = b y + c \\ L i n e a r E q u a t i o n i n y \end{array}$

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The differential equation dydx=1ax+by+c where a, b, c are all non zero real numbers, is