How to solve a standard first order differential equation?

First we must ensure that the differential is i the standard form of y' + p(x) y = f(x)The we use the integration factor I(x) = e to the integral of p(x)we then realise that if we differentiate this we will get I'(x) = p(x)* e to the integral of p(x) which is equal to I(x)*p(x)we then multiply the equation through by I(x) giving i(x) y' + I(x)*p(x) y = f(x) I(x)the left hand side can be simplified by the product rule of differentiation and we can then integrate through to find our answer

JB
Answered by Joe B. Further Mathematics tutor

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