Example 20 - Find general solution: x dy/dx + 2y = x2 - Examples

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  1. Chapter 9 Class 12 Differential Equations
  2. Serial order wise
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Example 20 Find the general solution of the differential equation +2 = 2 0 +2 = 2 + 2 = 2 Dividing both sides by x + 2 = x Differential equation is of the form + = where P = 2 & Q = x IF = spdx IF = 2 IF = 2 log IF = log 2 I.F = x2 Solution of differential equation is y IF = IF + yx2 = 2 + yx2 = 3 + x2 y = 4 4 + y = + is the required general solution

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.