SOLVE FIRST ORDER DE USING INTEGRATING FACTOR 1. Compare the given equation with differential equation form and find the value of P(x). 2. Calculate the integrating factor μ. 3. Multiply the...

SOLVE FIRST ORDER DE USING INTEGRATING FACTOR
1. Compare the given equation with differential equation form and find the value of P(x).
2. Calculate the integrating factor μ.
3. Multiply the differential equation with integrating factor on both sides in such a way;
μ dy/dx + μP(x)y = μQ(x)
4. In this way, on the left-hand side, we obtain a particular differential form.
I.e d/dx(μ y) = μQ(x)
5. In the end, we shall integrate this expression and get the required solution to the given
equation: μ y = ∫μQ(x)dx+C