Answer to Question #201031 in Differential Equations for reee

Question

Show complete solution. Use equation function.

1)Find the general solution to the equation (cos y + 2) dy/dx = 2x.

Answer 1

$$(cos y + 2) \frac{dy}{dx }= 2x\\$$

By separable variable,

$$(cos y + 2) dy = 2xdx\\$$

Integrate through the separated equation:

$$\int(cos y + 2) dy = \int 2xdx\\ siny +2y = x^2+ c$$

Which is the general solution to the equation.