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

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

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