Linear Equation:
Form , where P(x) and Q(x) are functions of x
Method: Multiplying equation by e∫P(x)dx, called as integrating factor. Then equation becomes
Integrating
Reducible into Linear Equation:
Form
Method: Put
∴ The equation becomes , which is in linear form
Example: .
Solution:
Multiplying both sides by I.F. and integrating
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