The differential equation models a family of solution curves

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

Problem

The differential equation dydx=y−x2\dfrac{dy}{dx}=y-x^{2} models a family of solution curves. At the point (1,1)(1,1) on one such curve, determine whether the curve is concave up or concave down.

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