Write order and degree (if defined)of differential equations:(d^3y/dx^3)^2+(d^2y/dx^2)^3+(dy/dx)^4+y^5=0

Question

Write order and degree (if defined)of differential equations:

\(\left(\cfrac{d^3y}{dx^3}\right)^2+\left(\cfrac{d^2y}{dx^2}\right)^3+\left(\cfrac{dy}{dx}\right)^4+y^5=0\)

(d³y/dx³)²+(d²y/dx²)³+(dy/dx)⁴+y⁵=0

Answer 1

The order of a differential equation is the order of the highest derivative involved in the equation. So the 

order comes out to be 3 as we have \(\cfrac{d^3y}{dx^3}\) and the degree is the highest power to which a derivative is raised. 

So the power at this order is 2. 

So the answer is 3, 2.