Linear Equation Assignment Help

Assignment Help: >> Solution of differential equation >> Linear Equation

Linear Equation:

Form  1647_Linear Equation.png, where P(x)  and  Q(x) are  functions  of x

Method: Multiplying equation by eP(x)dx, called as integrating factor. Then equation becomes

913_Linear Equation1.png

Integrating  2056_Linear Equation2.png

Reducible into Linear Equation:

Form  2059_Linear Equation3.png

Method:  Put   315_Linear Equation4.png

∴ The equation becomes 144_Linear Equation5.png, which is in linear form

Example: 860_Linear Equation6.png.

Solution:         2201_Linear Equation7.png

                        Multiplying  both sides by  I.F. and integrating

                    1265_Linear Equation8.png

 

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