Ex 9.3, 14 - Chapter 9 Class 12 Differential Equations
Last updated at April 16, 2024 by Teachoo
Variable separation - Equation given
Ex 9.3, 23 (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
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Variable separation - Equation given
- Variable separation - Statement given
- Solving homogeneous differential equation
- Solving Linear differential equations - Equation given
- Solving Linear differential equations - Statement given
Transcript
Ex 9.3, 14 For each of the differential equations in Exercises 11 to 14, find a particular solution satisfying the given condition : ππ¦/ππ₯=π¦ tanβ‘ π₯;π¦=1 When π₯=0 ππ¦/ππ₯=π¦ tanβ‘ x π π/π=γπππ§ π± ππ±γβ‘ Integrating both sides β«1βππ¦/π¦ = β«1βtanβ‘γπ₯ ππ₯γ log |π| = log |π¬ππβ‘π |+πππβ‘π log |π¦| = log (c sec x) y = c sec x (β΅ log π + log b = log πb) Put x = 0 and y = 1 1 = C Sec 0 1 = C Γ 1 C = 1 Put value of C in (1) y = 1 Γ sec x y = sec x
