web analytics

Misc 17 - General solution of type dx/dy + p1x = q1 is - Solving Linear differential equations - Equation given

Slide8.JPG

  1. Chapter 9 Class 12 Differential Equations
  2. Serial order wise
Ask Download

Transcript

Misc 17 The general solution of a differential equation equation of the type 𝑑𝑥﷮𝑑𝑦﷯+P1𝑥=𝑄1 is (A) 𝑦 𝑒﷮ ﷮﷮P1 𝑑𝑦﷯﷯= ﷮﷮ 𝑄1 𝑒﷮ ﷮﷮P1 𝑑𝑦﷯﷯﷯𝑑𝑦+𝐶﷯ (B) 𝑦. 𝑒﷮ ﷮﷮P1 𝑑𝑥﷯﷯= ﷮﷮ 𝑄1 𝑒﷮ ﷮﷮P1 𝑑𝑥﷯﷯﷯𝑑𝑥+𝐶﷯ (C) 𝑥 𝑒﷮ ﷮﷮P1 𝑑𝑦﷯﷯= ﷮﷮ 𝑄1 𝑒﷮ ﷮﷮P1 𝑑𝑦﷯﷯﷯𝑑𝑦+𝐶﷯ (D) 𝑥 𝑒﷮ ﷮﷮P1 𝑑𝑥﷯﷯= ﷮﷮ 𝑄1 𝑒﷮ ﷮﷮P1 𝑑𝑥﷯﷯﷯𝑑𝑥+𝐶﷯ Differential equation is of type 𝑑𝑥﷮𝑑𝑦﷯+P1𝑥=𝑄1 where P1 & Q1 are functions of y IF = 𝑒﷮ ﷮﷮P1 𝑑𝑦﷯﷯ General solution is x (IF) = ﷮﷮ 𝑄1×𝐼𝐹﷯𝑑𝑦+𝑐﷯ 𝑥 𝑒﷮ ﷮﷮P1 𝑑𝑦﷯﷯= ﷮﷮ 𝑄1 𝑒﷮ ﷮﷮P1 𝑑𝑦﷯﷯﷯𝑑𝑦+𝐶﷯ Option (C) is the correct answer.

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
Jail