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

The order and the degree of the differential equation $2\frac{dy}{dx}-3x=\left(2y-x\frac{dy}{dx}\right)^{-3}$ respectively, are

The number of solutions of \( \frac{dy}{dx} = y^{1/3} \) passing through origin is

The order and degree of the differential equation \( (y'')^2 + (y''')^3 - (y')^4 + y^5 = 0 \) is

The order and degree of the differential equation \( (y'')^2 + (y''')^3 - (y')^4 + y^5 = 0 \) is

The order and degree of the differential equation \( (y'')^2 + (y''')^3 - (y')^4 + y^5 = 0 \) is

The order and degree of the differential equation \( (y'')^2 + (y''')^3 - (y')^4 + y^5 = 0 \) is

The order of the differential equation \( \left(\frac{d^3y}{dx^3}\right)^2 + \left(\frac{d^2y}{dx^2}\right)^2 + \left(\frac{dy}{dx}\right)^5 = 0 \) is:

The differential equation representing the family of curves $y^2 = a(ax + b)$ where $a$ and $b$ are arbitrary constants, is of:

The solution of the differential equation \( \frac{dy}{dx} = e^x + 1 \) is:

The solution of the differential equation \( \frac{dy}{dx} = e^x + 1 \) is:

The solution of the differential equation \( \frac{dy}{dx} = e^x + 1 \) is: