Slope fields
Consider the equation
y 0 = 3y − 1.
Without solving, determine which of the following statements is false.
A. y =
1
3
is an equilibrium solution.
B. The slope field is constant on horizontal lines.
C. Every solution converges to 1/3 as t → ∞.
Math 215/255 (Section 921)
First-order ODE-s
2015S T1
1/2
Know your first-order ODE
Which of the following statements is true?
πt
A. 3y 0 − 2y = e − 2 is first-order, not linear.
B. ty 0 = y is both linear and separable.
0
C. e y = t 2 + 1 is not of first-order.
D. Any first-order ODE must either be linear or variable-separated.
Math 215/255 (Section 921)
First-order ODE-s
2015S T1
2/2