# 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.

Chapter 9 Class 12 Differential Equations

Concept wise

- Order and Degree
- Gen and Particular Solution
- Formation of Differntial equation when general solution given
- Variable separation - Equation given
- Variable separation - Statement given
- Solving homogeneous differential equation
- Solving Linear differential equations - Equation given
- Solving Linear differential equations - Statement given

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.