The differential equation dx dx =1 ax+by+c , where a, b, c are al… - Vidyadip

MCQ

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

A
Linear in $y$
✓
Linear in $x$
C
Linear in both $x$ and $y$
D
Homogeneous equation

✓

Answer

Correct option: B.

Linear in $x$

$=\frac{\text{dx}}{\text{dx}}={\text{ax}+\text{by}+\text{c}}$
$=\frac{\text{dx}}{\text{dx}}-{\text{ax}=\text{by}+\text{c}}$
$=$Linear in $x$

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