1.

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

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.



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