1. Tardigrade
  2. Question
  3. Mathematics
  4. The order and degree of the following differential equation [1+((dy/dx))2]5/2 = (d3y/dx3) are respectively

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The order and degree of the following differential equation $\left[1+\left(\frac{dy}{dx}\right)^{2}\right]^{5/2} = \frac{d^{3}y}{dx^{3}}$ are respectively

WBJEEWBJEE 2008Differential Equations

Solution:

Given differential equation is

$\left[1+\left(\frac{dy}{dx}\right)^{2}\right]^{5/2} = \frac{d^{3}y}{dx^{3}} $

$\Rightarrow \left(\frac{d^{3}y}{dx^{3}}\right)^{2} = \left[1+\left(\frac{dy}{dx}\right)^{2}\right]^{5}$

From above it is clear that the order and degree of the given differential equation are $3$ and $2$ respectively.