Larson_Calculus_10e ch16sec02
MULTIPLE CHOICE
1. Find the general solution of the linear differential equation .
a.
b.
c.
d.
e.
2. Find the general solution of the linear differential equation .
a.
b.
c.
d.
e.
3. Find the general solution of the linear differential equation .
a.
b.
c.
d.
e.
4. Find the general solution of the linear differential equation .
a.
b.
c.
d.
e.
5. Find the general solution of the linear differential equation .
a.
b.
c.
d.
e.
6. Find the general solution of the linear differential equation .
a.
b.
c.
d.
e.
7. Find the general solution of the linear differential equation .
a.
b.
c.
d.
e.
8. Consider the differential equation and the solution .
Find the particular solution satisfying the initial conditions .
a.
b.
c.
d.
e.
9. Find the particular solution of the linear differential equation that satisfies the initial
conditions .
a.
b.
c.
d.
e.
10. Find the particular solution of the linear differential equation that satisfies the initial
conditions .
a.
b.
c.
d.
e.
11. Find the particular solution of the linear differential equation that satisfies the boundary
conditions , if possible.
a.
b.
c.
d.
e.
no solution
12. Find the particular solution of the linear differential equation that satisfies the
boundary conditions , if possible.
a.
no solution
b.
c.
d.
e.
13. Suppose a 32-pound weight is suspended on a spring. The weight is pulled foot below the
equilibrium position and released. Assume that the weight stretches the spring foot from its natural
position. Find a formula for the position of the weight as a function of time t.
a.
b.
c.
d.
e.
14. Suppose a 32-pound weight is suspended on a spring. The weight is raised foot above the
equilibrium position and started off with a downward velocity of foot per second. Assume that the
weight stretches the spring foot from its natural position. Find a formula for the position of the
weight as a function of time t.
a.
b.
c.
d.
e.
15. Suppose a 32-pound weight is suspended on a spring. The weight is pulled foot below the
equilibrium position and released. The motion takes place in a medium that furnishes a damping force
of magnitude speed at all times. Assume that the weight stretches the spring foot from its natural
position. Find a formula for the position of the weight as a function of time t.
a.
b.
c.
16. Sketch a graph of the solution of the differential equation with the initial condition
.
a.
d.
b.
e.