# Misc 1 - Chapter 9 Class 12 Differential Equations

Last updated at Dec. 11, 2019 by Teachoo

Last updated at Dec. 11, 2019 by Teachoo

Transcript

Misc 1 For each of the differential equation given below , indicate its order and degree (ππ πππππππ) (i) (π^2 π¦)/(ππ₯^2 )+5π₯(ππ¦/ππ₯)^2β6π¦=logβ‘π₯ (π^2 π¦)/(ππ₯^2 )+5π₯(ππ¦/ππ₯)^2β6π¦=logβ‘π₯ π¦^β²β²+5π₯γπ¦β²γ^2β6π¦=πππβ‘π₯ Highest order of derivative = 2 β΄ Order = 2 Since, power of yβ is 1 β΄ Degree = 1 Misc 1 For each of the differential equation given below , indicate its order and degree (ππ πππππππ) (ii) (ππ¦/ππ₯)^3β4(ππ¦/ππ₯)^2+7π¦=sinβ‘π₯ (ππ¦/ππ₯)^3β4(ππ¦/ππ₯)^2+7π¦=sinβ‘π₯ π¦^β²3β4π¦^β²2+7π¦=sinβ‘π₯ Highest order of derivative = 1 Order = 1 Since, highest power of yβ is 3, Degree = 3 Misc 1 For each of the differential equation given below , indicate its order and degree (ππ πππππππ) (iii) (π^4 π¦)/(ππ₯^4 )βπ ππ((π^3 π¦)/(ππ₯^3 ))=0 (π^4 π¦)/(ππ₯^4 )βπ ππ((π^3 π¦)/(ππ₯^3 ))=0 π¦^β²β²β²β²βπ ππ (π¦^β²β²β² )=0 Highest order of derivative = 4 β΄ Order = 4 Since π¦^β²β²β² is in sin (y^β²β²β² ) It is not a polynomial equation Thus, degree is not defined.

Miscellaneous

Misc 1
Important
You are here

Misc 2 Important

Misc 3 Deleted for CBSE Board 2021 Exams only

Misc 4 Important

Misc 5 Important Deleted for CBSE Board 2021 Exams only

Misc 6

Misc 7 Important

Misc 8

Misc 9 Important

Misc 10 Important

Misc 11

Misc 12

Misc 13

Misc 14 Important

Misc 15 Important

Misc 16

Misc 17 Important Deleted for CBSE Board 2021 Exams only

Misc 18

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.