Example 21 - Find general solution: ydx - (x + 2y2)dy = 0 - Solving Linear differential equations - Equation given

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  1. Chapter 9 Class 12 Differential Equations
  2. Serial order wise
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Example 21 Find the general solution of the differential equation +2 2 =0 +2 2 =0 = +2 2 = + 2 2 This is not of the form + = we find = + 2 2 = + 2 2 = 2y Differential equation is of the form + P1 x = Q1 where P1 = 1 & Q1 = 2y Now, IF = 1 IF = e 1 IF = e log IF = e log 1 IF = 1 Solution is x(IF) = + x 1 = 2 1 + = 2 + = 2 + x = y (2y + c) x = 2y2 + cy

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