Ex 9.5, 3 - Chapter 9 Class 12 Differential Equations
Last updated at April 16, 2024 by Teachoo
Solving Linear differential equations - Equation given
Ex 9.5, 19 (MCQ) Important
Misc 14 (MCQ) Important
Ex 9.5, 2
Ex 9.5, 10
Ex 9.5, 3 Important You are here
Ex 9.5, 4
Misc 15 (MCQ)
Ex 9.5, 13
Ex 9.5, 8 Important
Misc 10 Important
Misc 11
Ex 9.5, 14 Important
Ex 9.5, 6
Ex 9.5, 5 Important
Ex 9.5, 9
Ex 9.5, 7 Important
Ex 9.5, 15
Example 14
Ex 9.5, 1 Important
Ex 9.5, 12 Important
Ex 9.5, 11
Example 16
Example 17 Important
Example 22 Important
Solving Linear differential equations - Equation given
Last updated at April 16, 2024 by Teachoo
Ex 9.5, 3 For each of the differential equation given in Exercises 1 to 12, find the general solution : 𝑑𝑦/𝑑𝑥+𝑦/𝑥=𝑥^2 𝑑𝑦/𝑑𝑥+𝑦/𝑥=𝑥^2 Differential equation is of the form 𝑑𝑦/𝑑𝑥+𝑃𝑦=𝑄 where P = 𝟏/𝒙 and Q = x2 Finding integrating factor, I.F = e^∫1▒〖𝑝 𝑑𝑥〗 IF = e^∫1▒〖1/𝑥 𝑑𝑥〗 IF = e^log𝑥 IF = x Solution is y (IF) = ∫1▒〖(𝑄×𝐼𝐹)𝑑𝑥+𝑐〗 yx = ∫1▒〖𝒙^𝟐×𝒙×𝒅𝒙+𝒄〗 yx = ∫1▒〖𝑥^3 𝑑𝑥+𝑐〗 yx = 𝑥^4/4+𝑐 xy = 𝒙^𝟒/𝟒+𝒄