Question

Find the order and degree of d³y/dx³ + 3 d²y/dx² + 3 dy/dx + y = 0 and also state whether its linear or non-linear.

Answer 1

Order = Highest order derivative

Degree = Degree of highest order derivative

\(\frac{d^3y}{dx^3}+\frac{3d^2y}{dx^2}+\frac{3dy}{dx}+y=0\)

Order = 3 ; Degree = 1

Liner D.E :- \(\frac{dy}{dx}+P(x)y=Q(x)\)