Ch 05/Linear Differential Equations of First Order/H.K. Dass 3.9
Linear Differential Equations of First Order
A first-order linear DE has the form dy/dx + P(x)y = Q(x). Multiply by the integrating factor e^(integral P dx) and the left side becomes an exact derivative.
IThe Standard Form and I.F. Method
A first-order linear DE:
Step 1: Compute the Integrating Factor: I.F.
Step 2: Solution:
Multiplying by I.F. makes the left side become , which integrates directly.
Note
. This is the most common trick in finding I.F.
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