Question

3. An differential equation can be made exact by multiplying
A. Integration factor
B. Multiple factor
C. Ideal factor
D. Integrating factor

Answer 1

Answer :

A differential equation can be made exact by multiplying  Integration factor.

Explanation :

• If the differential equation $P (x, y) dx + Q (x, y) dy = 0$ is not exact, it can be made precise by multiplying it with a relevant factor u(x, y), also known as the integrating factor for the given differential equation.

• If the result of a simple differentiation, a first-order differential equation (with one variable) is called exact, or an exact differential.

• If $Px(x, y) = Qy$, the corresponding variant notation is

         $P(x, y)dy + Q(x, y)dx = 0$  is correct (x, y).