Show that the following differential equations are not exact and try to
find an integrating factor to solve them.
(6)
To show that the given differential equation is not exact, we need to
check if the partial derivatives of the equation with respect to x and y
are equal. Let's calculate these partial derivatives:
The differential equation is not exact since the partial derivatives are
not equal. To find an integrating factor, we can use the formula:
Now, let's calculate the integrating factor: