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970 Chapter 16: Additional Topics in Differential Equations
16.1 Exact First-Order Equations
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. Find the general solution of the differential equation .
a.
b.
c.
d.
e.
____ 2. Find the general solution of the differential equation
.
a.
b.
c.
d.
e.
____ 3. Find the general solution of the differential equation .
a.
b.
c.
d.
e.
16.1 Exact First-Order Equations 971
____ 4. Find the particular solution of the differential equation
that satisfies the initial condition .
a.
b.
c.
d.
e.
____ 5. Find the particular solution of the differential equation
that satisfies the initial condition .
a.
b.
c.
d.
e.
____ 6. Find the particular solution of the differential equation
that satisfies the initial condition .
a.
b.
c.
d.
e.
972 Chapter 16: Additional Topics in Differential Equations
____ 7. Find the particular solution of the differential equation
that satisfies the initial condition .
a.
b.
c.
d.
e.
____ 8. Find the integrating factor of the differential equation that is
a function of x or y alone.
a.
b.
c.
d.
e.
____ 9. Find the integrating factor of the differential equation that
is a function of x or y alone.
a.
b.
c.
d.
e.
16.1 Exact First-Order Equations 973
____ 10. Find the integrating factor of the differential equation
that is a function of x or y alone.
a.
b.
c.
d.
e.
____ 11. Use as a integrating factor to find the general solution of the
differential equation .
a.
b.
c.
d.
e.
____ 12. Find an equation for the curve with the slope passing through the
point .
a.
b.
c.
d.
e.
974 Chapter 16: Additional Topics in Differential Equations
____ 13. If represents the cost of producing x units in a manufacturing process, the
elasticity of cost is defined as . Find the cost function if the
elasticity function is , where .
a.
b.
c.
d.
e.
____ 14. Find the value of k such that the differential equation
is exact.
a.
b.
c.
d.
e.
16.1 Exact First-Order Equations 975
____ 15. Find the general solution of the differential equation .
a.
b.
c.
d.
e.
976 Chapter 16: Additional Topics in Differential Equations
Chapter 16 - Section 1
Answer Section
MULTIPLE CHOICE
