1. Chapter 9 Class 12 Differential Equations (Term 2)
  2. Serial order wise
  3. Ex 9.4

Ex 9.4, 3 - Chapter 9 Class 12 Differential Equations (Term 2)

Last updated at Dec. 10, 2019 by

Ex 9.4, 3 - Find general solution: dy/dx + y = 1 - Class 12

Ex 9.4, 3 - Chapter 9 Class 12 Differential Equations - Part 2

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

    3. Ex 9.4

    Ex 9.5 →

Transcript

Ex 9.4, 3 For each of the differential equations in Exercises 1 to 10, find the general solution : ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ+๐‘ฆ=1(๐‘ฆโ‰ 1) ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ+๐‘ฆ=1 ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ=1โˆ’๐‘ฆ ๐‘‘๐‘ฆ = (1 โˆ’ y) dx ๐‘‘๐‘ฆ/(1 โˆ’ ๐‘ฆ) = dx ๐‘‘๐‘ฆ/(๐‘ฆ โˆ’ 1) = โˆ’dx Integrating both sides. โˆซ1โ–’ใ€–๐‘‘๐‘ฆ/(๐‘ฆ โˆ’ 1)=ใ€— โˆซ1โ–’ใ€–โˆ’๐‘‘๐‘ฅใ€— log (y โˆ’ 1) = โˆ’x + C y โˆ’ 1 = e(โˆ’x + C) y โˆ’ 1 = eโˆ’x ร— eC y = eโˆ’x ร— eC + 1 Putting eC = A y = Aeโˆ’x + 1 is the general solution

Chapter 9 Class 12 Differential Equations (Term 2)
Serial order wise

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