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Find the differential equation correspon...

Find the differential equation corresponding to `y=cx^(3)`, where `c` is arbitrary constant.

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Knowledge Check

  • Differential equation corresponding to the primitive y=e^(cx) is

    A
    `y_(1)(y//x)logx`
    B
    `y_(1)=(y//x)logy`
    C
    `y_(1)=(x//y)logx`
    D
    `y_(1)=(x//y)logy`

  • What is the general solution of the differential equation x dy - y dx = y^(2)dx ? Where C is an arbitrary constant

    A
    A. x = Cy
    B
    B. `y = C-x`
    C
    C. x + xy - Cy = 0
    D
    D. None of these

  • The solution of the differential equation (dy)/(dx)=(x-y)/(x-3y) is (where, c is an arbitrary constant)

    A
    `2xy=x^(2)+3y+c`
    B
    `xy=x^(2)+y^(2)+c`
    C
    `2xy=x^(2)+3y^(2)+c`
    D
    `xy=x^(2)+x`

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