
Ex 9.3
Ex 9.3, 2 Deleted for CBSE Board 2022 Exams
Ex 9.3, 3 Important Deleted for CBSE Board 2022 Exams
Ex 9.3, 4 Deleted for CBSE Board 2022 Exams
Ex 9.3, 5 Important Deleted for CBSE Board 2022 Exams
Ex 9.3, 6 Deleted for CBSE Board 2022 Exams
Ex 9.3, 7 Important Deleted for CBSE Board 2022 Exams
Ex 9.3, 8 Deleted for CBSE Board 2022 Exams
Ex 9.3, 9 Deleted for CBSE Board 2022 Exams
Ex 9.3, 10 Important Deleted for CBSE Board 2022 Exams
Ex 9.3, 11 (MCQ) Deleted for CBSE Board 2022 Exams
Ex 9.3, 12 (MCQ) Important Deleted for CBSE Board 2022 Exams
Last updated at Dec. 27, 2021 by Teachoo
Ex 9.3, 1 Form a differential equation representing the given family of curves by eliminating arbitrary constants 𝑎 and 𝑏. 𝑥/𝑎+𝑦/𝑏=1 Here , we eliminate constants by Differentiating both sides w.r.t.x Now, 𝑥/𝑎+𝑦/𝑏=1 Differentiating Both Sides w.r.t. 𝑥 1/𝑎+1/𝑏.𝑑𝑦/𝑑𝑥=0 1/𝑏.𝑑𝑦/𝑑𝑥=(−1)/( 𝑎) The number of times we differentiate is equal to number of constants 𝒅𝒚/𝒅𝒙=(−𝒃)/( 𝒂) Again Differentiating Both Sides w.r.t. 𝑥 (𝒅^𝟐 𝒚)/(𝒅𝒙^𝟐 )=𝟎 Thus, Differential Equation Is :- 𝒚^′′=𝟎