Misc 14 (MCQ) - Chapter 9 Class 12 Differential Equations
Last updated at April 16, 2024 by Teachoo
Solving Linear differential equations - Equation given
Ex 9.5, 18 (MCQ)
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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
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Solving Linear differential equations - Equation given
- Solving Linear differential equations - Statement given
Transcript
Misc 14 The general solution of a differential equation of the type ππ₯/ππ¦+P1π₯=π1 is (A) π¦ π^β«1βγP1 ππ¦γ=β«1βγ(π1π^β«1βγP1 ππ¦γ )ππ¦+πΆγ (B) π¦. π^β«1βγP1 ππ₯γ=β«1βγ(π1π^β«1βγP1 ππ₯γ )ππ₯+πΆγ (C) π₯ π^β«1βγP1 ππ¦γ=β«1βγ(π1π^β«1βγP1 ππ¦γ )ππ¦+πΆγ (D) π₯ π^β«1βγP1 ππ₯γ=β«1βγ(π1π^β«1βγP1 ππ₯γ )ππ₯+πΆγDifferential equation is of type ππ₯/ππ¦+P1π₯=π1 where P1 & Q1 are functions of y IF = π^β«1βγππ π πγ General solution is x (IF) = β«1βγ(π_1ΓπΌπΉ) ππ¦+πγ π π^β«1βγππ π πγ=β«1βγ(πΈππ^β«1βγππ π πγ ) π π+πͺγ So, the correct answer is (c)
