Interpret each statement as a differential equation. 1. On the graph of y = (x) the slope of the tangent line at a point P(x,

Interpret each statement as a differential equation.

1. On the graph of y = ϕ(x) the slope of the tangent line at a point P(x, y) is the square of the distance from P(x, y) to the origin.

2. On the graph of y = ϕ(x) the rate at which the slope changes with respect to x at a point P(x, y) is the negative of the slope of the tangent line at P(x, y).