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Solution of the differential equation (d...

Solution of the differential equation `(dy)/(dx)tany=sin(x+y)+sin(x-y)` is

A

`sec y + 2 cos x =c`

B

`secy-2cosx =c`

C

`cosy-2sinx=c`

D

`tan y -2secy =c`

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The correct Answer is:
A
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Knowledge Check

  • Solution of the differential equation (dy)/(dx)=sin(x+y)+cos(x+y) is

    A
    `log|1+tan((x+y)/2)|=y+c`
    B
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    D
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  • Solution of the differential equation (dy)/(dx)= sin (x+Y) + cos (x+y) is equal to

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    `log (2+ "sec" (x+y)/(2))=x + C`
    B
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    C
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    D
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    `x^(2)+2xy+y^(2)=c`
    B
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    D
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