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The solution of (x+y)^(2)(dy)/(dx) = a^(...

The solution of `(x+y)^(2)(dy)/(dx) = a^(2)` is

A

`y = tan^(-1)((x+y)/(a)) + c`

B

`a y = tan^(-1)(x+y) + c`

C

`y = a tan^(-1)((x+y)/(a)) + c`

D

`x = a tan^(-1)((x+y)/(a)) + c`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-DIFFERENTIAL EQUATIONS-Exercise - II
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  4. The solution of (dy)/(dx) = sec(x+y) is

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  5. The solution of sin^(-1)((dy)/(dx)) = y + x is

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  6. Solve (dy)/(dx)=sin(x+y)+cos (x+y)

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