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

MCQ

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

A
$(\text{y}')^2+\text{x}=\text{y}^2$
✓
$\text{y}'\text{y}''+\text{y}=\sin\text{x}$
C
$\text{y}'''+(\text{y}'')^2+\text{y}=0$
D
$\text{y}'=\text{y}^2$

✓

Answer

Correct option: B.

$\text{y}'\text{y}''+\text{y}=\sin\text{x}$

The order $\text{y}'\text{y}''+\text{y}=\sin\text{x}$ of is 2. Thus, it is a second-order differential equation.

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