What is the general form of first order linear differential equation in x ?

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Solution

A First order linear differential equation is an equation of the form
dx/dy + P(y)x = Q(y)
where P and Q are functions of y. If the equation is written in
this form it is called standard form. The equation is called first
order because it only involves the function x and first derivatives
of x.

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The first order linear differential equation, where y is independent and x is dependent variable, is:

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