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 t

Options

A. `y-1=2e^(-x^(2)/2)`
B. `y+1=2e^(-x^(2)/2)`
C. `y-1=2e^(x^(2)/2)`
D. `y+1=2e^(x^(2)/2)`

Answer

D