Question

Classify the following differential equation according to whether they are linear or nonlinear. Indicate the dependent and independent variables and any nonlinear terms.

(cos t)d²y/dt² + (sin 2t)y = 0 y=y(t)

Answer 1

The given differential equation is linear and the dependent and independent variables are y and t, respectively. The equation contains one nonlinear term involving a product of y and sin 2t.

Step-by-step explanation:

The given differential equation is:

(cos t)d²y/dt² + (sin 2t)y = 0

This equation is a linear differential equation. The dependent variable is y and the independent variable is t. The only nonlinear term in the equation is (sin 2t)y, as it involves a product of y and sin 2t.