Question:medium
The order and degree of the differential equation
\[
\left[2\frac{d^2y}{dx^2} + \left(\frac{dy}{dx}\right)^2 \right]^{\frac{3}{2}} = \frac{d^3y}{dx^3}
\]
The order and degree of the differential equation
\[ \left[2\frac{d^2y}{dx^2} + \left(\frac{dy}{dx}\right)^2 \right]^{\frac{3}{2}} = \frac{d^3y}{dx^3} \]
Show Hint
Always remove radicals/fractions before determining degree.
Updated On: May 8, 2026
- 2 and 2
- 2 and 1
- 3 and 2
- 3 and 3
- 2 and 4
Show Solution
The Correct Option is C
Solution and Explanation
Was this answer helpful?
0
Top Questions on Order and Degree of Differential Equation
- The degree of the differential equation ((d²y)/(dx²))³+4-3d²ydx²+5(dy)/(dx)=0 is:
- BITSAT - 2011
- Mathematics
- Order and Degree of Differential Equation
- The degree of the differential equation √(1-x²)+√(1+y²)=a(x-y) is
- BITSAT - 2019
- Mathematics
- Order and Degree of Differential Equation
- The degree of the differential equation satisfying \[ \sqrt{1-x^2}+\sqrt{1+y^2}=a(x-y) \] is
- BITSAT - 2015
- Mathematics
- Order and Degree of Differential Equation
- The differential equation whose solution is \( Ax^2 + Bx + C = 1 \) where A and B are arbitrary constants is of:
- BITSAT - 2012
- Mathematics
- Order and Degree of Differential Equation
- Want to practice more? Try solving extra ecology questions todayView All Questions
