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The solution of the differential equatio...

The solution of the differential equation dy/dx=y tan x-2 sin x, is

A

y sin x = c + sin 2x

B

y cos x = c + 1/2 sin 2x

C

y cos x = c - sin 2x

D

y cos x = c + 1/2 cos 2x

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • The solution of the differential equation (dy)/(dx)=x^2 + sin 3x is

    A
    `y=x^3/3 + (cos 3x)/3+ c `
    B
    `y=x^3/3 - (cos 3x)/3+ c `
    C
    `y=x^3/3+sin 3x + c`
    D
    `y=x^3/3-sin 3x + c`

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

    A
    ` x(y+cos x)= sin x+C`
    B
    ` x (y-cos x) = sin x+C`
    C
    ` x (y cos x)= sin x+C`
    D
    ` x (y- cos x)= cos x+C`

  • The solution of the differential equation x (dy)/(dx) - y + x sin (y/x) = 0 is

    A
    ` x(1+cos.y/x)= C sin (y/x)`
    B
    ` (1-cos. y/x)=C sin (x/y)`
    C
    ` x(1-cos.y/x)=C sin (y/x)`
    D
    ` (1-cos.y/x)= Cx sin (y/x)`

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