Question 7 - Chapter 9 Class 12 Differential Equations (Important Question)
Last updated at April 16, 2024 by Teachoo
Chapter 9 Class 12 Differential Equations
Ex 9.1, 11 (MCQ) Important
Ex 9.1, 12 (MCQ)
Question 4 Deleted for CBSE Board 2024 Exams
Question 7 Important Deleted for CBSE Board 2024 Exams You are here
Question 10 Important Deleted for CBSE Board 2024 Exams
Example 8
Ex 9.3, 14
Example 12 Important
Example 13 Important
Ex 9.4, 8
Ex 9.4, 15
Example 17 Important
Ex 9.5, 7 Important
Ex 9.5, 13
Ex 9.5, 14 Important
Question 6 Deleted for CBSE Board 2024 Exams
Example 21 Important
Example 22 Important
Misc 4
Misc 9
Misc 10 Important
Misc 11
Chapter 9 Class 12 Differential Equations
Last updated at April 16, 2024 by Teachoo
Question 7 Form the differential equation of the family of Parabolas having vertex at origin and 𝑎𝑥𝑖𝑠 along positive 𝑦−𝑎𝑥𝑖𝑠 Equation Of Parabola where vertex is at origin and axis along y-axis is 𝑥^2=4𝑎𝑦 Differentiating Both Sides w.r.t. 𝑥 2𝑥=4𝑎 𝑑𝑦/𝑑𝑥 𝑥=2𝑎 𝑑𝑦/𝑑𝑥 𝑥=2𝑎𝑦^′ Dividing (2) by (1) i.e. (2) ÷ (1) 𝑥/𝑥^2 =(2𝑎𝑦^′)/4𝑎𝑦 1/𝑥=𝑦^′/2𝑦 2𝑦=𝑥𝑦^′ ∴ 𝒙𝒚^′−𝟐𝒚=𝟎 is the required differential equation