Question
Which of the following is a second order differential equation?
✓
Answer
(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 $=1$
(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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