Ex 9.5, 18 (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
Ex 9.5, 18 The integrating Factor of the differential equation ๐ฅ ๐๐ฆ/๐๐ฅโ๐ฆ=2๐ฅ^2 is (A) ๐^(โ๐ฅ) (B) ๐^(โ๐ฆ) (C) 1/๐ฅ (D) ๐ฅ ๐ฅ ๐๐ฆ/๐๐ฅโ๐ฆ=2๐ฅ^2 Dividing both sides by x ๐ ๐/๐ ๐ โ ๐/๐ = 2x Differential equation in of the form ๐๐ฆ/๐๐ฅ + ๐๐ฆ = Q where P = (โ๐)/๐ & Q = 2x IF = ๐^โซ1โใ๐ ๐๐ฅใ IF = ๐^(โซ1โ(โ๐)/๐ ๐ ๐) IF = ๐^("โ" logโก๐ฅ ) IF = ๐^logโกใ๐ฅ^(โ1) ใ IF = xโ1 IF = ๐/๐ So, the correct answer is (c)
