Question

Determine the order and degree of the differential equation

1. y"+y"" = siny
2. x d^3y/dx^3 + 7 dy/dx - 7y = 0

Answer 1

We need to find order and degree of the differential equation. We know that Order is the highest derivative in a differential equation. Degree is the power of highest order term in a differential equation.

in 1. y" + y"" = sin(y) Here highest derivative in this differential equation = 4 & power of the highest order term = 1 , So Order = 4 , Degree = 1

2. x($d^3y/dx^3$ ) + 7$(dy/dx)$ - 7y=0 , Here highest derivative in this differential equation=3

& power of the highest order term =1 , So Order = 3 , Degree = 1