Let m and n be the order and the degree of the differential equation whose solution is y = cx + c2 - 3c3/2 + 2, where c is a parameter. Then,
Answer & explanation
Correct answer: option 1
$\frac{d y}{d x}=c \Rightarrow$ the differential equation is ;
$y=x . \frac{d y}{d x}+\left(\frac{d y}{d x}\right)^2-3 .\left(\frac{d y}{d x}\right)^{3 / 2}+2$
Clearly its order is one and degree 4.
Hence (1) is the correct answer.