Differential Equations 1 Question 16

16. Let a solution y=y(x) of the differential equation

xx21dyyy21dx=0 satisfy y(2)=23

Statement I y(x)=secsec1xπ6 and

Statement II y(x) is given by 1y=23x11x2

(2008,3M)

Analytical & Descriptive Questions

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Answer:

Correct Answer: 16. (c)

Solution:

  1. Given, dydx=yy21xx21

dyyy21=dxxx21sec1y=sec1x+c

 At x=2,y=23;π6=π3+cc=π6

Now, y=secsec1xπ6

=coscos11xcos132=coscos132x+11x2134y=32x+1211x2



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