quidex.numirelSBN 9780357048634&id=324926382&snapshotid=843593& MINDTAP troduction to Differential Equations ☆ A MATH 2770 15. A series circuit contains a resistor and an inductor as shown in Figure 1.3.14. Determine a differential equation for the current i(t) if the resistance is R, the inductance is L, and the impressed voltage is E(t). Figure 1.3.14 LR-series circuit Answer + di dt + Ri= E(t) 16. A series circuit contains a resistor and a capacitor as shown in Figure 1.3.15. Determine a differential equation for the charge q(t) on the capacitor if the resistance is R, the capacitance is C, and the impressed voltage is E(t). 4 R Q Search Web ☆ % & * 5 6 7 8 Y U 人 AA AA Mixtures 9. Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 3 gal/min, and when the solution is well stirred, it is then pumped out at the same rate. Determine a differential equation for the amount of salt A(t) in the tank at time t > 0. What is A(0)? Answer-> dA + 1 A=0 dt 100 A (0) = 50 10. Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds of salt have
quidex.numirelSBN 9780357048634&id=324926382&snapshotid=843593& MINDTAP troduction to Differential Equations ☆ A MATH 2770 15. A series circuit contains a resistor and an inductor as shown in Figure 1.3.14. Determine a differential equation for the current i(t) if the resistance is R, the inductance is L, and the impressed voltage is E(t). Figure 1.3.14 LR-series circuit Answer + di dt + Ri= E(t) 16. A series circuit contains a resistor and a capacitor as shown in Figure 1.3.15. Determine a differential equation for the charge q(t) on the capacitor if the resistance is R, the capacitance is C, and the impressed voltage is E(t). 4 R Q Search Web ☆ % & * 5 6 7 8 Y U 人 AA AA Mixtures 9. Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 3 gal/min, and when the solution is well stirred, it is then pumped out at the same rate. Determine a differential equation for the amount of salt A(t) in the tank at time t > 0. What is A(0)? Answer-> dA + 1 A=0 dt 100 A (0) = 50 10. Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds of salt have
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:quidex.numirelSBN 9780357048634&id=324926382&snapshotid=843593&
MINDTAP
troduction to Differential Equations
☆
A MATH 2770
15. A series circuit contains a resistor and an inductor as shown in Figure 1.3.14. Determine a differential
equation for the current i(t) if the resistance is R, the inductance is L, and the impressed voltage is E(t).
Figure 1.3.14
LR-series circuit
Answer +
di
dt
+ Ri= E(t)
16. A series circuit contains a resistor and a capacitor as shown in Figure 1.3.15. Determine a differential
equation for the charge q(t) on the capacitor if the resistance is R, the capacitance is C, and the impressed
voltage is E(t).
4
R
Q Search Web
☆
%
&
*
5
6
7
8
Y
U
人
AA
Transcribed Image Text:AA
Mixtures
9. Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds of salt have been
dissolved. Pure water is pumped into the tank at a rate of 3 gal/min, and when the solution is well stirred,
it is then pumped out at the same rate. Determine a differential equation for the amount of salt A(t) in the
tank at time t > 0. What is A(0)?
Answer->
dA
+
1
A=0
dt 100
A (0) = 50
10. Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds of salt have
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