Question

Find the order and degree of the differential equations.
a) $y^{\prime \prime }+3y^{{\prime }^2}+y^3=0$
b) ${\left(\frac{dy}{dx}\right)}^2+\frac{1}{dydx}=2$
c) $\frac{d^{2}y}{d{x}^2}+4y=0$

Answer 1

Order is basically the highest order of differentiation used & Degree is the power raised on the highest order derivative term when expressions are written in the form of polynomial.

So (a) Order: 2 Degree: 1

(b) Order: 1 Degree: 2

(c) Order: 2 Degree: 1