Question

Find the general solution of the differential equation. (Enter your solution as an equation.)

y^3y’=6cos(pix)

Answer 1

The differential equation is a separable differential equation, so we can separate the variables and integrate both sides to find the general solution.

Separating the variables, we get:

(y^3)dy = 6cos(pix)dx

Integrating both sides with respect to their respective variables, we get:

(1/4)y^4 = -3sinx + C

Where C is an arbitrary constant of integration.

So the general solution to the differential equation is:

(1/4)y^4 = -3sinx + C

Explanation:

Answer 2

Find the general solution of the differential equation. (Enter your solution as an equation.)

y^3y’=6cos(pix