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Most linear equations are functions (that is, for every value of x, there is only one corresponding value of y). When you assign a value to the independent variable, x, you can compute the value of the dependent variable, y. You can then plot the points named by each (x,y) pair on a coordinate grid.
The solution process for a first order linear differential equation is as follows. 1  Put the differential equation in the correct initial form, (1). 2  Find the integrating factor, , using (10). 3  Multiply everything in the differential equation by and verify that the left side becomes the product rule and write it as such.