Which of the following is a solution curve to the differential equation $\frac{dy}{dx} = f(x,y)$ whose slope field is graphed below?
A. $y=e^{\frac{x^{2}}{2}}$
B. $y=\sin\!\left(x^{2}\right)$
C. $y=x^{2}-x$
D. $y=2\sin\!\left(x^{2}\right)$
E. $y=x^{3}-x$