Ex 9.5, 3 - Chapter 9 Class 12 Differential Equations
Last updated at August 19, 2026 by Teachoo
Solving Linear differential equations - Equation given
Ex 9.5, 18 (MCQ)
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Chapter 9 Class 12 Differential Equations
Concept wise
- Order and Degree
- Gen and Particular Solution
- Formation of Differntial equation when general solution given
- Variable separation - Equation given
- Variable separation - Statement given
- Solving homogeneous differential equation
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Solving Linear differential equations - Equation given
- Solving Linear differential equations - Statement given
Transcript
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
