Solution of differential equation:

The general solution of the differential equation is the relation in the variables x, y obtained by integrating (by removing derivatives) where relation contains as many arbitrary constants as the order of equation. The general solution of differential equation of the 1st order contains one arbitrary constant while that of the 2^nd order contains 2 arbitrary constants. In general solution, if particular values of arbitrary constant are put, we get a particular solution which will give one member of family of curves.

To solve the differential equation of the 1^st order and the 1^st degree:

Simple standard form of the differential equation of 1^st order and 1^st degree are as follows:

(i) Variable Separable

Form f(x) dx  + Φ(y) dy = 0

Method: Integrate it that is,  find  ∫f(x) dx + ∫Φ(y)dy  = c

Example :  Solve  .

Solution:         Given 

                        Integrating,  we get ln y - e^x =c 

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