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(dy)/(dx ) + 2y =sinx...

` (dy)/(dx ) + 2y =sinx`

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Find (dy)/(dx) , if y=(sinx)^(cosx)

Find the particular solution of the differential equation (dy)/(dx)+2y tanx=sinx , it is given that at x=(pi)/(3) , y=0 .

Knowledge Check

  • The solution of (dy)/(dx)+2y tanx=sinx, is

    A
    `y sec^(3)x=sec^(2)x+C`
    B
    `y sec^(2)x=sec x+C`
    C
    `y sin x=tanx+C`
    D
    none of these

  • Solution of 2y sinx (dy)/(dx) = 2 sinx .cox- y^2cosx, x = pi/2 , y = 1 is given by

    A
    `y^2 = sinx`
    B
    `y = sin^2x`
    C
    y^2 = cosx+1`
    D
    None of these

  • Solution of 2y sinx (dy)/(dx) = 2 sinx .cox- y^2cosx, x = pi/2 , y = 1 is given by

    A
    `y^2 = sinx`
    B
    `y = sin^2x`
    C
    y^2 = cosx+1`
    D
    None of these

    • Similar Questions

    Explore conceptually related problems

    Solve the following differential equation: (dy)/(dx)+2tanx*y=sinx Also find the particular solution if y=0 when x=pi/3

    Find (dy)/(dx) , when: y=(sinx)^(cosx)

    Write order and degree (if defined) of each of the following differential equations. ((dy)/(dx))^(3)-4((dy)/(dx))^(2)+7y=sinx

    Solve: (dy)/(dx)+y=cosx-sinx

    (dy)/(dx) + 2y = e ^(-2x) sinx , given that y=0 when x = 0

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