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Solve the differential equation (d^2y)/d...

Solve the differential equation `(d^2y)/dx^2=x^2+e^(2x)`

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Knowledge Check

  • Solve the differential equation : (dy)/(dx)=(x^(2)-y^(2))/(xy) .

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

  • The solution of the differential equation (d^(2)y)/(dx^(2))=e^(-2x) , is

    A
    `(1)/(4)e^(-2x)`
    B
    `(1)/(4)e^(-2x)+cx+d`
    C
    `(1)/(4)e^(-2x)+cx^(2)+d`
    D
    `(1)/(4)e^(-2x)+c+d`

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