# Ex 9.4, 13 - Chapter 9 Class 12 Differential Equations

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

Ex 9.4, 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 ๐y = cosโ1 ๐ dx Integrating both sides โซ1โใ๐๐ฆ=ใ โซ1โใcos^(โ1)โกใ๐ ๐๐ฅใ ใ y = x cos^(โ1) 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 cos^(โ1) ๐ (๐ฆ โ 2)/๐ฅ = cos^(โ1) ๐ cos ((๐ โ ๐)/๐)= ๐

Chapter 9 Class 12 Differential Equations

Serial order wise

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