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Find the general solution : .(dy)/(dx)...

Find the general solution :
.`(dy)/(dx) + 2y = sin x`

Text Solution

Verified by Experts

The correct Answer is:
`y = (1)/(5)(2 sin x - cos x) + Ce^(-2x)`
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Knowledge Check

  • The general solution of (dy)/(dx) + y/x = 0 is :

    A
    `y = kx `
    B
    ` log x =ky`
    C
    `xy = k `
    D
    `logy = kx`

  • The solution of (dy)/(dx) =2^(y-x) is

    A
    `2^(x) +2^(y) =C`
    B
    `2^(x) -2^(y) =C`
    C
    `(1)/(2^(x)) -(1)/(2^(y)) =C`
    D
    `x+y=C`

  • The solution of (dy)/(dx) +p(x)y=0 is

    A
    `y= ce^(int pdx)`
    B
    `y=ce^(-int pdx)`
    C
    `x=ce^(-intpdy)`
    D
    `x=ce^(intpdy)`

    • Similar Questions

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    Find (dy)/(dx) if y =e^(x) sin 2x

    Find the general solution for sin 2x + cos x =0

    The solution of (dy)/(dx)+y cot x =sin2x is

    The general solution of (dy)/(dx) = 1 - x^(2) -y^(2) + x^(2) y^(2) is

    The solution of (dy)/(dx)=2^(y-x) is

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