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Differential equation

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Match the solution of the differential equation in the text to the following differential equation:

Differential equation in text = y' + P(x)y = Q(x) (standard form)
NOTE: 1) write the equation in standard form
2) find the integrating factor: u(x) = e^(ʃP(x)dx)
3) evaluate the integral to find the general solution: y = 1/(u(x)) ʃ Q(x)u(x)dx

(actual problem)

y' - 2xy = x.

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Solution Summary

The solution provides an example of finding a general solution to a differential equation using an integrating factor.