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Need help with this DE Problem
Given Ypl 3e21 and yp2 = x+ + 3x are,...
Differential Equations, Super Position Theorem Given ypi 3e2+ and yp2 = 3 = 12 + 3x...
Differential Equations, Super Position Theorem
Given ypi 3e2+ and yp2 = 3 = 12 + 3x are, respectively, two particular solutions of y" -6y + 5y -9e27 and y” -6y + 5y = 5x2 + 3x – 16 Find a particular solution of y" -6y + 5y = -5x2 – 3x + 16 - 18e2x (Hint: Super position theorem in chapter 4.) Yp = x2 + 3x 6e22 Yp 2x2 + 6x + 2x None of them Ур = -22...
Given ypi 3e2c and Yp2 = 22 + 3.2 are, respectively, two particular solutions of y"...
Given ypi 3e2c and Yp2 = 22 + 3.2 are, respectively, two particular solutions of y" -6y + 5y –9e22 and y” -6y + 5y = 5x2 + 3x – 16 Find a particular solution of y” -6y + 5y = -5x2 – 3x + 16 – 18e2c (Hint: Super position theorem in chapter 4.) ОУр 2x2 + 6x + e22 yp = -22 3x + 6e2: None of them Yp = 22 + 3.2 6e2.r
Differential Equations Need Help! Will Rate! Question 1 (35) 1. Build the characteristic polynomial for the DE z',-4x,-52-0 and find two particular solutions. Here, x' = dx/dt, x" = d2x/dt...
Differential Equations Need Help! Will Rate!
Question 1 (35) 1. Build the characteristic polynomial for the DE z',-4x,-52-0 and find two particular solutions. Here, x' = dx/dt, x" = d2x/dt2. (15) 2. Verify that the two solutions are linearly independent. (5) 3. Build the general solution to the DE as a linear combination of these two solutions. (5) 4. Using the general solution, calculate the solution for the same DE with the initial conditions z(0) 5, x(0) 3. (10) Question...
I need help with number 8. In Problems 5-8, find the derivative but do not simplify...
I need help with number 8.
In Problems 5-8, find the derivative but do not simplify your answer. 5. y = (2x - 5x4 + 2x2 - 1)(4x + 3x7 - 5x2 + 3x) 6. y = (9x - 7x7 - 6x)(3x - 4x4 + 3x – 8) y = (x - 2Vx + 1)(x - 5x - 7) y = (x2 + x + 1)(x - 2Vx + 5)
I need help solving the following problem. Solve the system using elimination. 2x+5y+3z = -20 3x+...
I need help solving the following problem. Solve the system using elimination. 2x+5y+3z = -20 3x+ 2y -4z = 4 3x -3y +2z = -20 x=_______________ y=________________ z=_________________
1 Is x=2 y = 2 a solution of the given system of equations? 3x -...
1 Is x=2 y = 2 a solution of the given system of equations? 3x - 4y = 4 X-6y = 2 Is the first equation satisfied? 0 Yes Ο Νο Is the second equation satisfied? Yes Ο Νο 1 As a result, is x=2 y=5 a solution of the given system of equations? 1 Isx=2, y=3 a solution of the given system of equations? eos 3x - 4y = 4 1 15 X-6y = 2 No Is the second...
y"+3x+y = 0 Find two power series solutions for this linear DE based at the ordinary...
y"+3x+y = 0 Find two power series solutions for this linear DE based at the ordinary point x = 0. Use the video I posted as a guide to do this problem (try to model your solution from it). All of your work must be shown
9) Find ( 5x+3x+3x dx a) O 5x2 + x3 + x2 + c b) O...
9) Find ( 5x+3x+3x dx a) O 5x2 + x3 + x2 + c b) O 5x3 + 2x2 + 3x + c c) O 5x3 + 2.x + 3x + с d) 0 5x + x² + x3 + c 8) Find the most general solution of the differential equation dx C49602 Weight: 1 = 6x2 - 7; given that y = 5, dy = 2, when x = dx o. a) y = PR + 2x + 5...
PROBLEMS Solve for y. 3.1. - x + 4x + sin 6x 3.4. y + 3x...
PROBLEMS Solve for y. 3.1. - x + 4x + sin 6x 3.4. y + 3x = 0 3.5. (x-1)? ydx + x? (y - 1)dy = 0 Just find a solution. Solving for y is tough. Test for exactness and solve if exact. 3.6. (y - x) dx + (x? - y) dy - 0 3.7. (2x + 3y) dx + (3x + y - 1) dy - 0 3.8. (2xy Y + 2xy + y) dx + (x*y*el...
Write down the associated dual problem. (ii)Given the information that the optimal basic variables are 1xand...
Write down the associated dual problem.
(ii)Given the information that the optimal basic variables are
1xand 3x, determine the associated optimal dual solution (1y, 2y
and w).
Maximize subject to z = x, +5x2 + 3x3 x, + x2 + x3 = 3 2x, - x2 = 4 *,,X, X, 20 (i) Write down the associated dual problem. (5 marks) (ii) Given the information that the optimal basic variables are x, and xz, determine the associated optimal dual solution (y,,...
Differential Equations, Super Position Theorem
Given ypi 3e2+ and yp2 = 3 = 12 + 3x are, respectively, two particular solutions of y" -6y + 5y -9e27 and y” -6y + 5y = 5x2 + 3x – 16 Find a particular solution of y" -6y + 5y = -5x2 – 3x + 16 - 18e2x (Hint: Super position theorem in chapter 4.) Yp = x2 + 3x 6e22 Yp 2x2 + 6x + 2x None of them Ур = -22...
Given ypi 3e2c and Yp2 = 22 + 3.2 are, respectively, two particular solutions of y" -6y + 5y –9e22 and y” -6y + 5y = 5x2 + 3x – 16 Find a particular solution of y” -6y + 5y = -5x2 – 3x + 16 – 18e2c (Hint: Super position theorem in chapter 4.) ОУр 2x2 + 6x + e22 yp = -22 3x + 6e2: None of them Yp = 22 + 3.2 6e2.r
Differential Equations Need Help! Will Rate!
Question 1 (35) 1. Build the characteristic polynomial for the DE z',-4x,-52-0 and find two particular solutions. Here, x' = dx/dt, x" = d2x/dt2. (15) 2. Verify that the two solutions are linearly independent. (5) 3. Build the general solution to the DE as a linear combination of these two solutions. (5) 4. Using the general solution, calculate the solution for the same DE with the initial conditions z(0) 5, x(0) 3. (10) Question...
I need help with number 8.
In Problems 5-8, find the derivative but do not simplify your answer. 5. y = (2x - 5x4 + 2x2 - 1)(4x + 3x7 - 5x2 + 3x) 6. y = (9x - 7x7 - 6x)(3x - 4x4 + 3x – 8) y = (x - 2Vx + 1)(x - 5x - 7) y = (x2 + x + 1)(x - 2Vx + 5)
1 Is x=2 y = 2 a solution of the given system of equations? 3x - 4y = 4 X-6y = 2 Is the first equation satisfied? 0 Yes Ο Νο Is the second equation satisfied? Yes Ο Νο 1 As a result, is x=2 y=5 a solution of the given system of equations? 1 Isx=2, y=3 a solution of the given system of equations? eos 3x - 4y = 4 1 15 X-6y = 2 No Is the second...
y"+3x+y = 0 Find two power series solutions for this linear DE based at the ordinary point x = 0. Use the video I posted as a guide to do this problem (try to model your solution from it). All of your work must be shown
9) Find ( 5x+3x+3x dx a) O 5x2 + x3 + x2 + c b) O 5x3 + 2x2 + 3x + c c) O 5x3 + 2.x + 3x + с d) 0 5x + x² + x3 + c 8) Find the most general solution of the differential equation dx C49602 Weight: 1 = 6x2 - 7; given that y = 5, dy = 2, when x = dx o. a) y = PR + 2x + 5...
PROBLEMS Solve for y. 3.1. - x + 4x + sin 6x 3.4. y + 3x = 0 3.5. (x-1)? ydx + x? (y - 1)dy = 0 Just find a solution. Solving for y is tough. Test for exactness and solve if exact. 3.6. (y - x) dx + (x? - y) dy - 0 3.7. (2x + 3y) dx + (3x + y - 1) dy - 0 3.8. (2xy Y + 2xy + y) dx + (x*y*el...
Write down the associated dual problem.
(ii)Given the information that the optimal basic variables are
1xand 3x, determine the associated optimal dual solution (1y, 2y
and w).
Maximize subject to z = x, +5x2 + 3x3 x, + x2 + x3 = 3 2x, - x2 = 4 *,,X, X, 20 (i) Write down the associated dual problem. (5 marks) (ii) Given the information that the optimal basic variables are x, and xz, determine the associated optimal dual solution (y,,...
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