Which of the following equation is non-linear - Vidyadip

MCQ

Which of the following equation is non-linear

A
$\frac{{dy}}{{dx}} = \cos x$
B
$\frac{{{d^2}y}}{{d{x^2}}} + y = 0$
C
$dx + dy = 0$
✓
$x\frac{{dy}}{{dx}} + \frac{3}{{\frac{{dy}}{{dx}}}} = {y^2}$

✓

Answer

Correct option: D.

$x\frac{{dy}}{{dx}} + \frac{3}{{\frac{{dy}}{{dx}}}} = {y^2}$

d
(d) $x\frac{{dy}}{{dx}} + \frac{3}{{(dy/dx)}} = {y^2}$ ==> $x{\left( {\frac{{dy}}{{dx}}} \right)^2} - {y^2}\frac{{dy}}{{dx}} + 3 = 0$

Hence it is a non-linear differential equation.

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