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The solution of the differential equatio...

The solution of the differential equation `e^(-x)(y+1)dy+(cos^(2)x -sin 2x)y(dx)=0` subjected to the condition that y = 1 when x = 0 is

A

`log(y+1) + e^(x) cos^(x) = 1`

B

`y + log y + e^(x) cos^(2)x =2`

C

`(y+1)+e^(x) cos^(x) = 2`

D

`y + log y = e^(x) cos^(x)`

Text Solution

Verified by Experts

The correct Answer is:
B
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HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
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  14. The differential equation representing the family of curves y^2=2c(x+s...

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