Determine the order and degree of the following differential equation: d^2y/dt^2 + (dy/dt)^2 + 7x +5 =0

Question

Determine the order and degree of the following differential equation:

\(\cfrac{d^2y}{dt^2}+\left(\cfrac{dy}{dt}\right)^2+7x+5 =0\)

d²y/dt² + (dy/dt)² + 7x +5 =0

Answer 1

The given D.E. is \(\cfrac{d^2y}{dt^2}+\left(\cfrac{dy}{dt}\right)^2+7x+5 =0\)
This D.E. has highest order derivative \(\cfrac{d^2y}{dx^2}\) with power 1.

∴ the given D.E. has order 2 and degree 1.