2. Linear differential equation
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
Is called a first order linear differential equation.
The general solution is
The equation is
Here P=1, Q=x
The solution is