Homework Answers
2. (10 points) An aquarium has a 1000 L tank containing 400 L of salt water with a concentra- tio...
2. (10 points) An aquarium has a 1000 L tank containing 400 L of salt water with a concentra- tion of 210 grams per liter. A salt water solution with a concentration of 470 grams per liter is pumped into the tank at a rate of 5 liters per minute. The well-mixed solution is drained from the tank at a rate of 3 liters per minute. Additionally, the tank is uncovered, so fresh water evaporates from the tank at a...
Part V: Solve Question 2 Part VI: Solve Questions 2 & 3 Part V (30 points each): Solve ONE of the following. and solve an IVP in order to receive any credit. In each problem you must complete...
Part V: Solve Question 2
Part VI: Solve Questions 2 & 3
Part V (30 points each): Solve ONE of the following. and solve an IVP in order to receive any credit. In each problem you must completely set up 1. A 1000 liter tank initially contains 600 liters of salt water with 50 grams of salt dissolved in it. Salt water flows into the tank at a rate of 2 liters/hr with a concentration of 6 grams/liter and a...
1 Tank 1 12 Tank 2 '3 (1 point Consider the two tank apparatus shown in...
1 Tank 1 12 Tank 2 '3 (1 point Consider the two tank apparatus shown in the figure. Each tank has capacity 750 liters and initially contains 150 liters of fresh water. At time t = 0, the well-stirred mixing process begins. Suppose that the concentration of brine flowing into Tank 1 via the top tube is 1 kilograms per liter, and that the flow rates are r1 = r3 = 4 liters per minute, and r2 = r4 =...
Question 7 3 pts The solution of the Initial-Value Problem (IVP) zy! - 2y = 4(x...
Question 7 3 pts The solution of the Initial-Value Problem (IVP) zy! - 2y = 4(x - 2) y(1) = 4 y (1) = -1 is 1 23 +22 -3 +3 +2.3 -2.0.4 1 Y L 22 - 2.0 + 4 2 None of them 0 4 2.- - 2 + 1 y = 2 Question 8 3 pts The power series solution of the Initial-Value Problem (IVP) (22 +1)yll + xy + 2xy = 0 y(0) = 2 is...
3. (2 pts) The solution of the IVP y = f(y), y(0) = 4 is known...
3. (2 pts) The solution of the IVP y = f(y), y(0) = 4 is known to be y(t) = 1+ 9-t. Suppose yz(t) is the solution of the IVP y = f(y), y(2) = 4. Find the solution ya(t).
slove it fast please Solve given IVP. (t +2y)dt +ydy=0; y(0)=1 and Select the correct value...
slove it fast please
Solve given IVP. (t +2y)dt +ydy=0; y(0)=1 and Select the correct value of c. O a. None 1 O b. 2 Oco Od. 1 O e. -1
SOLVE #3 AND #4 PLEASE Use the Laplace transformation to solve the IVP. 1. y"-6y' + 9y-24-9t, y(0)-2, y, (0)-0 2. 9y" - 12y'4y50ey(0)--1,y'(0)2 3. У"-2y'--. 1 2 cos(2t) +...
SOLVE #3 AND #4 PLEASE
Use the Laplace transformation to solve the IVP. 1. y"-6y' + 9y-24-9t, y(0)-2, y, (0)-0 2. 9y" - 12y'4y50ey(0)--1,y'(0)2 3. У"-2y'--. 1 2 cos(2t) + 4 sin(2t),y(0)-4,y'(0)-0
Use the Laplace transformation to solve the IVP. 1. y"-6y' + 9y-24-9t, y(0)-2, y, (0)-0 2. 9y" - 12y'4y50ey(0)--1,y'(0)2 3. У"-2y'--. 1 2 cos(2t) + 4 sin(2t),y(0)-4,y'(0)-0
6-6 6-17 6-18 please help me, how could solve these problems In chemical kinetics and other...
6-6
6-17
6-18
please help me, how could solve these problems
In chemical kinetics and other types of rate processes, you frequently encounter with the initial condition m(0) == 2 6-4 B representing the interconversion of two species, A and B. The the scheme A rate equation for this interconversion can be written as dA/dt = -k\A + kąB, where k and kz are called rate constants. By conservation of mass, A(t)+B(t) = AoBo, where Aq = A(0) and Bọ...
_D_6 The set of critical points of the autonomous equation y' = y(2-y) are: A (0.2.-2)...
_D_6 The set of critical points of the autonomous equation y' = y(2-y) are: A (0.2.-2) B (0) C2) D.(0.2) (0,3,-3) D_7. The set of critical points (or equilibrium points) of the equation y'=yl - 9y is: A (0) C.-99) D_8. Which of the following is a stable point of ' (-1)? A0 B. 1 C andu1 D. Neither is stable F 9 True or False) The equation y + xy +x+yi b le Writer for true or F forse...
explain please 2. Which one of the following DE is exact? a. (x+y)dx+(xy+1) dy=0 b (e...
explain please
2. Which one of the following DE is exact? a. (x+y)dx+(xy+1) dy=0 b (e + y)<x+ſe+x)dy = 0 c.(ye* +1) dx +(e' + xy) dy = 0 d. (sin x+cos y) dx +(cos x +sin y) dy = 0 e. (eº+1) dx +(e? + 2) dy = 0 3. The solution of the following separable DE xy' =-y? is a. y= '+c b. y=- c. y = In x+c In x+c d. In y=x? + e. yer+C 4....
2. (10 points) An aquarium has a 1000 L tank containing 400 L of salt water with a concentra- tion of 210 grams per liter. A salt water solution with a concentration of 470 grams per liter is pumped into the tank at a rate of 5 liters per minute. The well-mixed solution is drained from the tank at a rate of 3 liters per minute. Additionally, the tank is uncovered, so fresh water evaporates from the tank at a...
Part V: Solve Question 2
Part VI: Solve Questions 2 & 3
Part V (30 points each): Solve ONE of the following. and solve an IVP in order to receive any credit. In each problem you must completely set up 1. A 1000 liter tank initially contains 600 liters of salt water with 50 grams of salt dissolved in it. Salt water flows into the tank at a rate of 2 liters/hr with a concentration of 6 grams/liter and a...
1 Tank 1 12 Tank 2 '3 (1 point Consider the two tank apparatus shown in the figure. Each tank has capacity 750 liters and initially contains 150 liters of fresh water. At time t = 0, the well-stirred mixing process begins. Suppose that the concentration of brine flowing into Tank 1 via the top tube is 1 kilograms per liter, and that the flow rates are r1 = r3 = 4 liters per minute, and r2 = r4 =...
Question 7 3 pts The solution of the Initial-Value Problem (IVP) zy! - 2y = 4(x - 2) y(1) = 4 y (1) = -1 is 1 23 +22 -3 +3 +2.3 -2.0.4 1 Y L 22 - 2.0 + 4 2 None of them 0 4 2.- - 2 + 1 y = 2 Question 8 3 pts The power series solution of the Initial-Value Problem (IVP) (22 +1)yll + xy + 2xy = 0 y(0) = 2 is...
3. (2 pts) The solution of the IVP y = f(y), y(0) = 4 is known to be y(t) = 1+ 9-t. Suppose yz(t) is the solution of the IVP y = f(y), y(2) = 4. Find the solution ya(t).
slove it fast please
Solve given IVP. (t +2y)dt +ydy=0; y(0)=1 and Select the correct value of c. O a. None 1 O b. 2 Oco Od. 1 O e. -1
SOLVE #3 AND #4 PLEASE
Use the Laplace transformation to solve the IVP. 1. y"-6y' + 9y-24-9t, y(0)-2, y, (0)-0 2. 9y" - 12y'4y50ey(0)--1,y'(0)2 3. У"-2y'--. 1 2 cos(2t) + 4 sin(2t),y(0)-4,y'(0)-0
Use the Laplace transformation to solve the IVP. 1. y"-6y' + 9y-24-9t, y(0)-2, y, (0)-0 2. 9y" - 12y'4y50ey(0)--1,y'(0)2 3. У"-2y'--. 1 2 cos(2t) + 4 sin(2t),y(0)-4,y'(0)-0
6-6
6-17
6-18
please help me, how could solve these problems
In chemical kinetics and other types of rate processes, you frequently encounter with the initial condition m(0) == 2 6-4 B representing the interconversion of two species, A and B. The the scheme A rate equation for this interconversion can be written as dA/dt = -k\A + kąB, where k and kz are called rate constants. By conservation of mass, A(t)+B(t) = AoBo, where Aq = A(0) and Bọ...
_D_6 The set of critical points of the autonomous equation y' = y(2-y) are: A (0.2.-2) B (0) C2) D.(0.2) (0,3,-3) D_7. The set of critical points (or equilibrium points) of the equation y'=yl - 9y is: A (0) C.-99) D_8. Which of the following is a stable point of ' (-1)? A0 B. 1 C andu1 D. Neither is stable F 9 True or False) The equation y + xy +x+yi b le Writer for true or F forse...
explain please
2. Which one of the following DE is exact? a. (x+y)dx+(xy+1) dy=0 b (e + y)<x+ſe+x)dy = 0 c.(ye* +1) dx +(e' + xy) dy = 0 d. (sin x+cos y) dx +(cos x +sin y) dy = 0 e. (eº+1) dx +(e? + 2) dy = 0 3. The solution of the following separable DE xy' =-y? is a. y= '+c b. y=- c. y = In x+c In x+c d. In y=x? + e. yer+C 4....
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