Download Slope Fields

Slope Fields
Name_________________________________
1. Create the slope field for the differential equation
2. Sketch the solution curve with the initial condition
y(1) = 1.
dy
  x2
dx
y
3. Use the solution curve to estimate
y(-2)=
y(2) =
y(0)=


4. Solve the differential equation algebraically with
the initial condition y(1) = 1.

x












5. Create a slope field for the differential equation
dy
= x2 y
dx
6. Sketch the solution curve with the initial condition
y = -2 when x = 0.
7. Solve the differential equation algebraically. Use
the initial condition y = -2 when x = 0.
8. Create the slope field for the differential equation
dy 1
=
dx y
9. Sketch the solution curve with the initial condition
f(-1) = -2
10. Solve the differential equation algebraically. Use
the initial condition f(-1)=-2.
y



x












11. Use the answer from 10 to find f(4).