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

Example 20 - Chapter 9 Class 12 Differential Equations - Part 2


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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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.