

Ex 9.6
Ex 9.6, 2
Ex 9.6, 3 Important
Ex 9.6, 4
Ex 9.6, 5 Important
Ex 9.6, 6
Ex 9.6, 7 Important
Ex 9.6, 8 Important
Ex 9.6, 9
Ex 9.6, 10 Deleted for CBSE Board 2022 Exams
Ex 9.6, 11 Deleted for CBSE Board 2022 Exams You are here
Ex 9.6, 12 Important Deleted for CBSE Board 2022 Exams
Ex 9.6, 13
Ex 9.6, 14 Important
Ex 9.6, 15
Ex 9.6, 16 Important
Ex 9.6, 17 Important
Ex 9.6, 18 (MCQ)
Ex 9.6, 19 (MCQ) Important Deleted for CBSE Board 2022 Exams
Last updated at May 29, 2018 by Teachoo
Ex 9.6, 11 For each of the differential equation find the general solution : 𝑦 𝑑𝑥+ 𝑥− 𝑦2𝑑𝑦=0 Step 1 : Put in form 𝑑𝑦𝑑𝑥 + Py = Q or 𝑑𝑥𝑑𝑦 + P1 x = Q1, y dx + (x − y2) dy = 0 y dx = − (x − y2)dy 𝑑𝑦𝑑𝑥 = −𝑦𝑥− 𝑦2 This is not of the form 𝑑𝑦𝑑𝑥 + Py = Q ∴ we find 𝑑𝑥𝑑𝑦 𝑑𝑥𝑑𝑦 = 𝑦2 − 𝑥𝑦 𝑑𝑥𝑑𝑦 = y − 𝑥𝑦 𝑑𝑥𝑑𝑦 + 𝑥𝑦 = y Step 2 : Find P1 and Q1 Comparing (1) with 𝑑𝑥𝑑𝑦 + P1 x = Q1 Where P1 = 1𝑦 & Q1 = y Step 3 : Find Integrating factor, IF = 𝑒 𝑝1 𝑑𝑦 = 𝑒 𝑑𝑦𝑦 = 𝑒 log𝑦 = y Step 4 : Solution is x (IF) = 𝑄1×𝐼𝐹𝑑𝑦+𝑐 xy = 𝑦×𝑦 𝑑𝑦+𝑐 xy = 𝑦2 𝑑𝑦+𝑐 xy = 𝑦33+𝐶 x = 𝑦33𝑦+ 𝐶𝑦 x = 𝒚𝟐𝟑+ 𝑪𝒚