Miscellaneous

Chapter 9 Class 12 Differential Equations
Serial order wise

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### Transcript

Misc 17 The general solution of a differential equation of the type ππ₯/ππ¦+P1π₯=π1 is (A) π¦ π^β«1βγP1 ππ¦γ=β«1βγ(π1π^β«1βγP1 ππ¦γ )ππ¦+πΆγ (B) π¦. π^β«1βγP1 ππ₯γ=β«1βγ(π1π^β«1βγP1 ππ₯γ )ππ₯+πΆγ (C) π₯ π^β«1βγP1 ππ¦γ=β«1βγ(π1π^β«1βγP1 ππ¦γ )ππ¦+πΆγ (D) π₯ π^β«1βγP1 ππ₯γ=β«1βγ(π1π^β«1βγP1 ππ₯γ )ππ₯+πΆγ Differential equation is of type ππ₯/ππ¦+P1π₯=π1 where P1 & Q1 are functions of y IF = π^β«1βγP1 ππ¦γ General solution is x (IF) = β«1βγ(π_1ΓπΌπΉ) ππ¦+πγ π₯ π^β«1βγP1 ππ¦γ=β«1βγ(π1π^β«1βγP1 ππ¦γ ) ππ¦+πΆγ β΄ Option (C) is the correct answer.