Explain how the short line segments in a slope field for the differential equation…

MATHEMATICS · Subjective · AP · Calculus AB · Differential Equations · Differential Equations

Problem

Explain how the short line segments in a slope field for the differential equation dydx=x+y\dfrac{dy}{dx}=x+y allow you to decide whether the solution curve passing through the point (1,0)(1,0) is rising or falling at x=1x=1, and whether its slope there is greater or less than the slope of the solution through (1,2)(1,2) at the same xx–value.

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