Question

determine the order and the degree of the given

differential equation; also state whether the equation is linear or nonlinear.

1. t^2\frac{d^2y}{dt^2}+t\frac{dy}{dt}+2y=sin\:t

Answer 1

$\text{The order of a differential equation is the order of the highest derivative while the } \\\text{degree is the power of the highest derivative. Given the equation } \\t^2\frac{d^2y}{dt^2}+t\frac{dy}{dt}+2y=sin\:t \\\text{We have that the order is 2 and the degree is 1}$