# Ex 9.3, 13 - Chapter 9 Class 12 Differential Equations

Last updated at April 16, 2024 by Teachoo

Ex 9.3

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Ex 9.3, 13 You are here

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Ex 9.3, 23 (MCQ)

Last updated at April 16, 2024 by Teachoo

Ex 9.3, 13 For each of the differential equations in Exercises 11 to 14, find a particular solution satisfying the given condition : ๐๐๐ (๐๐ฆ/๐๐ฅ)=๐(๐โ๐);๐ฆ=2 When ๐ฅ=0 cos (๐๐ฆ/๐๐ฅ) = ๐ ๐๐ฆ/๐๐ฅ = cosโ1 ๐ ๐ y = cosโ1 ๐ dx Integrating both sides โซ1โใ๐๐ฆ=ใ โซ1โใcos^(โ1)โกใ๐ ๐๐ฅใ ใ y = x ใ๐๐๐ใ^(โ๐) ๐ + c Putting x = 0 and y = 2 2 = 0 cos^(โ1) ๐ + c 2 = c c = 2 Putting value of c in (1) y = x cos^(โ1) ๐ + 2 y โ 2 = x ใ๐๐๐ใ^(โ๐) ๐ (๐ฆ โ 2)/๐ฅ = cos^(โ1) ๐ cos ((๐ โ ๐)/๐)= ๐