Variable separable method for solving differential equations

Hi, this is a free master class for mathematics on the topic variable separable method.

at the end of this class, you will be able to solve any question on this topic.

form:                            dy  = f(x)

                  dx     g(y) 

The best way to solve this type of problem is

                                        Variable separable method.

step 1: Simply cross-multiply terms such that left-hand side (LHS) has terms of y only and right-hand side (RHS) has the function of x only.

                                    g(y)dy =f(x)dx

step 2: simply integrate LHS and RHS. 

                

            ∫g(y)dy =∫f(x)dx +c

where C is constant of integration .

example :

               1)              dy  = x²+6x+81     

                  dx     y²+sin(y)+9

            2)

3)

Practise as many problems as possible to clear your concept in dept.

There is no need for you to study theory if you understood these above concepts.

stay tuned for more ........