Which of the following equation is linear - Vidyadip

MCQ

Which of the following equation is linear

A
${\left( {\frac{{{d^2}y}}{{d{x^2}}}} \right)^{^2}} + {x^2}{\left( {\frac{{dy}}{{dx}}} \right)^2} = 0$
B
$y = \frac{{dy}}{{dx}} + \sqrt {1 + {{\left( {\frac{{dy}}{{dx}}} \right)}^2}} $
✓
$\frac{{dy}}{{dx}} + \frac{y}{x} = \log x$
D
$y\frac{{dy}}{{dx}} - 4 = x$

✓

Answer

Correct option: C.

$\frac{{dy}}{{dx}} + \frac{y}{x} = \log x$

c
(c)$\frac{{dy}}{{dx}} + \frac{y}{x} = \log x$ is a linear differential equation.

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