List of top Mathematics Questions on Order and Degree of Differential Equation asked in KCET

The degree of the differential equation
\(1+(\frac{dy}{dx})^2+(\frac{d^2y}{dx^2})^2= \sqrt[3]{\frac{d^2y}{dx^2}+1}\) is

Domain of \(cos^{-1} [x]\), where \([. ]\) denotes a greatest integer function

The order of the differential equation obtained by eliminating arbitrary constants in the family of curves $c_1y = (c_2 +c_3 )e^{x+c_4}$ is

The order of differential equation of all circles of given radius $'a'$ is _____

The order and degree of the differential equation $y=x\frac{dy}{dx}+\frac{2}{\frac{dy}{dx}}$ is

Solution of $e^\frac {dy}{dx} = x$ when $x = 1$ and $y = 0$ is

The order and degree of the differential equation y =$ \frac {dp}{dx}x +\sqrt {a^2p^2+b^2}$ where $ p=\frac {dy}{dx}$(here $a$ and $b$ are arbitrary constants) respectively are