# Ex 9.5, 2 - Chapter 9 Class 12 Differential Equations

Last updated at April 16, 2024 by Teachoo

Ex 9.5

Ex 9.5, 1
Important

Ex 9.5, 2 You are here

Ex 9.5, 3 Important

Ex 9.5, 4

Ex 9.5, 5 Important

Ex 9.5, 6

Ex 9.5, 7 Important

Ex 9.5, 8 Important

Ex 9.5, 9

Ex 9.5, 10

Ex 9.5, 11

Ex 9.5, 12 Important

Ex 9.5, 13

Ex 9.5, 14 Important

Ex 9.5, 15

Ex 9.5, 16 Important

Ex 9.5, 17 Important

Ex 9.5, 18 (MCQ)

Ex 9.5, 19 (MCQ) Important

Last updated at April 16, 2024 by Teachoo

Ex 9.5, 2 For each of the differential equation , find theππ¦/ππ₯+3π¦=π^(β2π₯) Step 1: Put in form ππ¦/ππ₯ + Py = Q π π/π π + 3y = π^(βππ) Step 2: Find P and Q by comparing, we get π·=π and Q = π^(βππ) Step 3 : Find Integrating factor, I.F. I.F. = π^β«1βπππ₯ I.F. = π^β«1β3ππ₯ general solution : ππ¦/ππ₯+3π¦=π^(β2π₯) I.F. = π^ππ Step 4 : Solution of the equation y Γ I.F. = β«1βγπΓπΌ.πΉ. ππ₯+πγ Putting values y Γ e3x = β«1βπ^(βππ + ππ) ,dx + π ye3x = β«1βπ^(π₯ ) dx + π ye3x = π^(π₯ ) dx + π Dividing by π^(3π₯ ) y = eβ2x + Ceβ3x