Linear differential equation

1. BY PRATIK SUDRA LINEAR DIFFERENTIAL EQUATION

2. Linear differential equation Definition Any function on multiplying by which the differential equation M(x,y)dx+N(x,y)dy=0 becomes a differential coefficient of some function of x and y is called an Integrating factor of the differential equation. If µ [M(x,y)dx +N(x,y)dy]=0=d[f(x,y)] then µ is called I.F

3. Case-1 Is called a first order linear differential equation. The general solution is

4. Example-1

5. Case-2 Is Linear differential equation The general solution is

6. Example-2

7. Bernoulli’s Equation Definition A differential equation is Case-1 The general solution is

8. Case-2 The general solution is

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