Which of the following is a second order differential equation? - Vidyadip

MCQ

Which of the following is a second order differential equation?

A
$\left(y^{\prime}\right)^2+x=y^2$
✓
$y^{\prime} y^{\prime \prime}+y=\sin x$
C
$y^{\prime \prime \prime}+\left(y^{\prime \prime}\right)^2+y=0$
D
$y^{\prime}=y^2$

✓

Answer

Correct option: B.

$y^{\prime} y^{\prime \prime}+y=\sin x$

(b) : (a) $\left(\frac{d y}{d x}\right)^2+x=y^2$; order $=1$
(b) $\left(\frac{d y}{d x}\right)\left(\frac{d^2 y}{d x^2}\right)+y=\sin x ;$ order $=2$
(c) $\frac{d^3 y}{d x^3}+\left(\frac{d^2 y}{d x^2}\right)^2+y=0 ;$ order $=3$
(d) $\frac{d y}{d x}=y^2 ;$ order $=1$

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