Ex 9.3, 14 - Chapter 9 Class 12 Differential Equations
Last updated at April 16, 2024 by Teachoo
Variable separation - Equation given
Example 20
Misc 13 (MCQ)
Ex 9.3, 3
Ex 9.3, 8
Example 4
Ex 9.3, 7 Important
Example 5
Ex 9.3, 6
Ex 9.3, 2
Misc 4
Example 6
Ex 9.3, 5
Ex 9.3, 14 You are here
Ex 9.3, 13
Example 7 Important
Ex 9.3, 16
Ex 9.3, 12
Ex 9.3, 11 Important
Ex 9.3, 1 Important
Ex 9.3, 15 Important
Misc 7 Important
Ex 9.3, 4 Important
Ex 9.3, 9 Important
Misc 6
Ex 9.3, 10 Important
Misc 12 Important
Misc 5 Important
Variable separation - Equation given
Last updated at April 16, 2024 by Teachoo
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