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The general solution of the differential...

The general solution of the differential equation `dy/dx+sin(x+y)/2=sin(x-y)/2` is:

A

`logtan{:y/2+2sinx=C`

B

`logtan{:y/4+2sin{:x/2=C`

C

`logcot{:y/4+2sin{:x/2=C`

D

none of these

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The correct Answer is:
A
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Knowledge Check

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    A
    `sec y + 2 cos x =c`
    B
    `secy-2cosx =c`
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    D
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    A
    `log|1+tan((x+y)/2)|=y+c`
    B
    `log|2+sec((x+y)/2)|=x+c`
    C
    `log|1+tan(x+y)|=y+c`
    D
    none of these

  • The solution of the differential equation sin(x+y)dy =dx is

    A
    `y+tan(x+y)-sec(x+y)=c`
    B
    `y-tan(x+y)-sec(x+y)=c`
    C
    `y+tan(x+y)+sec(x+y)=c`
    D
    `y-tan(x+y)+sec(x+y)=c`

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