Question

In which of the following differential equation degree is not defined ?

• A. $ \frac{d^2 y}{d x^2}+3\left(\frac{d y}{d x}\right)^2=x \ln \left(\frac{d^2 y}{d x^2}\right)$
• B. $\left(\frac{d^2 y}{d x^2}\right)^2+\left(\frac{d y}{d x}\right)^2=x \sin \left(\frac{d^2 y}{d x^2}\right)$
• C. $x=\sin \left(\frac{d y}{d x}-2 y\right),|x|<1$
• D. $x-2 y=\ell n\left(\frac{d y}{d x}\right)$

Answer 1

Answer: (A), (B)

$x=\sin \left(\frac{d y}{d x}-2 y\right) \Rightarrow \frac{d y}{d x}-2 y=\sin ^{-1} x$
$x-2 y=\log \Rightarrow \frac{d y}{d x}=e^{x-2 y}$