Question 7 - Formation of Differntial equation when general solution given - Chapter 9 Class 12 Differential Equations
Last updated at April 16, 2024 by Teachoo
Formation of Differntial equation when general solution given
Formation of Differntial equation when general solution given
Last updated at April 16, 2024 by Teachoo
Question 7 Form the differential equation of the family of Parabolas having vertex at origin and ๐๐ฅ๐๐ along positive ๐ฆโ๐๐ฅ๐๐ Equation Of Parabola where vertex is at origin and axis along y-axis is ๐ฅ^2=4๐๐ฆ Differentiating Both Sides w.r.t. ๐ฅ 2๐ฅ=4๐ ๐๐ฆ/๐๐ฅ ๐ฅ=2๐ ๐๐ฆ/๐๐ฅ ๐ฅ=2๐๐ฆ^โฒ Dividing (2) by (1) i.e. (2) รท (1) ๐ฅ/๐ฅ^2 =(2๐๐ฆ^โฒ)/4๐๐ฆ 1/๐ฅ=๐ฆ^โฒ/2๐ฆ 2๐ฆ=๐ฅ๐ฆ^โฒ โด ๐๐^โฒโ๐๐=๐ is the required differential equation