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The solution of differential equation ...

The solution of differential equation
` cos x dy = y (sin x - y ) dx, 0 lt x lt pi //2 ` is

A

`sec x = (tan x +c ) y `

B

`y sec x = tan x + c `

C

`y tan x = sec x + c`

D

`tan x = (sec x + c ) y`

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The correct Answer is:
A
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Knowledge Check

  • Solution of the differential equation cos x dy = y (sin x - y) dx 0 lt x lt pi/2 is

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

  • The solution of the differential equation cosx siny dx + sin x cos y dy = 0 is

    A
    (sin x)/(sin y) = c
    B
    cos x+ cos y = c
    C
    sin x + sin y = c
    D
    sin x. sin y = c

  • 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
    xy cos x = sin x + c
    D
    x(y+cos x) = cos x + c

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