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Find the differential equation satisfying `y=e^(2x)(a+ bx ) `,a and b are arbitrary constants.

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Knowledge Check

  • The differential equation representing the family of curves y^(2) = a(ax + b) , where a and b are arbitrary constants, is of

    A
    order 1, degree 1
    B
    order 1, degree 3
    C
    order 2, degree 3
    D
    order 2, degree 1

  • Differential equation of the family of curves v=A//r+B ,when A and B are arbitrary constants, is

    A
    `(d^(2)v)/(dr^(2))+(1)/(r)(dv)/(dr)=0`
    B
    `(d^(2)v)/(dr^(2))-(2)/(r)(dv)/(dr)=0`
    C
    `(d^(2)v)/(dr^(2))+(2)/(r)(dv)/(dr)=0`
    D
    None of these

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