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'''Integrating factors''' is a method to solve scalar [[Linear First Order ODE]]<nowiki/>s.
'''Integrating factor''' is a method to solve scalar [[Linear First Order ODE]]<nowiki/>s.


Consider
Consider

Revision as of 23:26, 23 April 2024

Integrating factor is a method to solve scalar Linear First Order ODEs.

Consider

We multiply bothsides by integrating factor such that the left hand side to be the exact derivative of a product. For this to work, we need

Applying the integrating factor, we have

From there, simple integration and algebra will solve the equation.