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Ex 9.6, 6 - Chapter 9 Class 12 Differential Equations (Term 2)

Last updated at Dec. 8, 2016 by

Ex 9.6, 6 - Find general solution: x dy/dx + 2y = x2 log x - Ex 9.6

Ex 9.6, 6 - Chapter 9 Class 12 Differential Equations - Part 2
Ex 9.6, 6 - Chapter 9 Class 12 Differential Equations - Part 3 Ex 9.6, 6 - Chapter 9 Class 12 Differential Equations - Part 4

Transcript

Ex 9.6, 6 For each of the differential equation given in Exercises 1 to 12, find the general solution : +2 = 2 Step 1 : Convert into + py = Q +2 = 2 Dividing both sides by x + 2 = x log x Step 2 : Find P and Q Differential equation is of the form + = where P = 2 and Q = x log x Step 3 : Finding integrating factor IF = epdx IF = 2 IF = 2 1 IF = 2 log IF = log 2 IF = 2 Step 4 : Solution is y (IF) = + yx2 = log 2 + yx2 = log 3 + yx2 = log x 3 log 3 dx yx2 = log x 4 4 1 4 4 + yx2 = 4 log 4 3 4 + yx2 = 4 log 4 4 4 4 + yx2 = 4 log 4 4 16 + y = 4 log 4 2 4 16 2 + 2 y = 2 log | | 4 2 16 + 2 y = (4 log x 1) +

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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.