Example 8 - Class 12
Last updated at May 29, 2018 by Teachoo
Transcript
Example 8 Form the differential equation representing the family of parabolas having vertex at origin and axis along positive direction of ๐ฅโ๐๐ฅ๐๐ . Since parabola has axis along positive x-axis, its Equation : ๐ฆ๏ทฎ2๏ทฏ=4๐๐ฅ Diff. w.r.t. ๐ฅ ๐๏ทฎ๐๐ฅ๏ทฏ ๐ฆ๏ทฎ2๏ทฏ๏ทฏ= ๐๏ทฎ๐๐ฅ๏ทฏ 4๐๐ฅ๏ทฏ 2๐ฆ ๐๐ฆ๏ทฎ๐๐ฅ๏ทฏ=4๐ Putting Value of 4๐ in (1) ๐ฆ๏ทฎ2๏ทฏ=2๐ฆ ๐๐ฆ๏ทฎ๐๐ฅ๏ทฏ ร๐ฅ ๐๏ทฎ๐๏ทฏโ๐๐๐ ๐ ๐๏ทฎ๐ ๐๏ทฏ = 0
Examples
Example 1
Important
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7 Important
Example 8 You are here
Example 9
Example 10
Example 11
Example 12
Example 13 Important
Example 14
Example 15
Example 16
Example 17 Important
Example 18 Important
Example 19
Example 20
Example 21
Example 22 Important
Example 23
Example 24
Example 25 Important
Example 26
Example 27 Important
Example 28 Important
Chapter 9 Class 12 Differential Equations
Serial order wise
About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.