Science:Math Exam Resources/Courses/MATH102/December 2012/Question B 01/Statement

For the following questions, refer to the slope fields in the figure below. Match the plots below with the differential equations by filling in the box with A, B, C, D, or NOT (for "None Of These").

• (a) The equation ${\frac {dx}{dt}}=1-t^{2}$ matches the slope field ______.
• (b) The equation ${\frac {dx}{dt}}=t(t-1)(t+1)$ matches the slope field ______.
• (c) The equation ${\frac {dx}{dt}}=x^{2}-1$ matches the slope field ______.
• (d) The equation ${\frac {dx}{dt}}=1-x^{2}$ matches the slope field ______.