Find the equation of a curve passing through the point (0, 1). If the slope of the tangent to the curve at any point (x, y) is equal to the sum of the x coordinate (abscissa) and the product of the x coordinate and y coordinate (ordinate) of that point.

Explanation

It is given that
`

dy / dx=x+xy `
`
dy/dx-x y=x`


is a linear differential equation.


`therefore IF=e^{-int x d x}=e^{-frac{x^{2}}{2}}`

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