Non homogeneous Differential Equation:
Form
Method: If , put x = X + h , y = Y + k such that a1h +b1k + c1 = 0, a2h + b2k +c2 = 0 . In this way equation becomes homogeneous in X, Y. then use method for homogeneous equation.
If The equation in the form of variable which are separable in x, v.
Example : .
Solution: Here
Thus we put x- y = v
or, = dx or Integrate
2v + ln (v +2) = x + C, Put the value of v
∴ x - 2y + ln (x - y +2) = C
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