
Get live Maths 1-on-1 Classs - Class 6 to 12
Ex 9.3
Ex 9.3, 2 Deleted for CBSE Board 2023 Exams
Ex 9.3, 3 Important Deleted for CBSE Board 2023 Exams
Ex 9.3, 4 Deleted for CBSE Board 2023 Exams
Ex 9.3, 5 Important Deleted for CBSE Board 2023 Exams
Ex 9.3, 6 Deleted for CBSE Board 2023 Exams
Ex 9.3, 7 Important Deleted for CBSE Board 2023 Exams You are here
Ex 9.3, 8 Deleted for CBSE Board 2023 Exams
Ex 9.3, 9 Deleted for CBSE Board 2023 Exams
Ex 9.3, 10 Important Deleted for CBSE Board 2023 Exams
Ex 9.3, 11 (MCQ) Deleted for CBSE Board 2023 Exams
Ex 9.3, 12 (MCQ) Important Deleted for CBSE Board 2023 Exams
Last updated at March 16, 2023 by Teachoo
Ex 9.3, 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