Question

find integrating factor and solve the differential equation
(y³_2yx²)dx+(2xy²_x³)dy=5​

Answer 1

Answer:

We multiply both sides of the differential equation by the integrating factor I which is defined as I = e∫ P dx. ⇔ Iy = ∫ IQ dx since d dx (Iy) = I dy dx + IPy by the product rule. As both I and Q are functions involving only x in most of the problems you are likely to meet, ∫ IQ dx can usually be found.