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, 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 : ππ¦/ππ₯+π¦/π₯=π₯^2 ππ¦/ππ₯+π¦/π₯=π₯^2 Differential equation is of the form ππ¦/ππ₯+ππ¦=π where P = π/π and Q = x2 Finding integrating factor, I.F = e^β«1βγπ ππ₯γ IF = e^β«1βγ1/π₯ ππ₯γ IF = e^logβ‘π₯ IF = x Solution is y (IF) = β«1βγ(πΓπΌπΉ)ππ₯+πγ yx = β«1βγπ^πΓπΓπ π+πγ yx = β«1βγπ₯^3 ππ₯+πγ yx = π₯^4/4+π xy = π^π/π+π
