Question

Determine whether the given differentlal equation is exact. If it is exact, solve it.

(x² − y² )dx + (x² − 2xy)dy = 0

Answer 1

The given differential equation is exact. To solve it, integrate the expression with respect to x and set it equal to a constant. Then, differentiate the resulting equation with respect to y and solve for y.

Step-by-step explanation:

The given differential equation is ex

exact

because the partial derivatives with respect to x and y are equal.

To solve the equation, you can integrate the expression with respect to x and set it equal to a constant. Then, differentiate the resulting equation with respect to y and solve for y. However, without initial conditions or a specific solution method, it is not possible to provide an exact solution.