Homework Answers
Find the solution to the linear system of differential equations {?′?′==−2?+12?−?+5?{x′=−2x+12yy′=−x+5y satisfying the initial conditions ?(0)=1x(0)=1...
Find the solution to the linear system of differential equations
{?′?′==−2?+12?−?+5?{x′=−2x+12yy′=−x+5y satisfying the
initial conditions ?(0)=1x(0)=1 and ?(0)=0y(0)=0.
د (1 point) Find the solution to the linear system of differential equations { -2x + 12y -x + 5y satisfying the initial conditions x(0) = 1 y د and y(0) = 0. x(t) = yt) =
differential equations Consider the following differential equation to be solved using a power series. y" +...
differential equations
Consider the following differential equation to be solved using a power series. y" + xy = 0 On Using the substitution y = cryn, find an expression for Ck + 2 in terms of Ck - 1 for k = 1, 2, 3... n = 0 Ck +2= + 6 Find two power series solutions of the given differential equation about the ordinary point x = 0. x3 O Y1 = 1 - xo and y2 = x...
L.P. Model: 20- Maximize Subject to: 18- Z= 2X + 8Y 1X + 2Y = 6...
L.P. Model: 20- Maximize Subject to: 18- Z= 2X + 8Y 1X + 2Y = 6 5X + 1 Y = 20 X,Y 20 (C1) (C2) 16- 14- On the graph on right, the constraints C, and Cy have been plotted. 12- Using the point drawing tool, plot the four corner points for the feasible area. 10- 8- 6- 4- 2- 0- 0 2 4 6 00- 12 14 16 00 20 10 X
7. Solve the following differential equations. dy 2 y= 5x, x>0. + a) dx dx 1+2x 4e', t>0 b) t dt 7....
7. Solve the following differential equations. dy 2 y= 5x, x>0. + a) dx dx 1+2x 4e', t>0 b) t dt
7. Solve the following differential equations. dy 2 y= 5x, x>0. + a) dx dx 1+2x 4e', t>0 b) t dt
14. Ifx:0, then u + A. Z 5u B. 5u 7x C. 29u 5x 5x 15....
14. Ifx:0, then u + A. Z 5u B. 5u 7x C. 29u 5x 5x 15. -2 -1 0 1 2 The solution set of which of the following inequalities is graphed on the number line above? A. 2x-4 2-3 B. 2x+5s6 C. 3x-1s5 D. 4x-127 16, 2x+6y = 5 x +3y 2 How many solutions (x, y) are there to the system of equations above? A. None B. One C. Two D. More than two
Consider the following linear program: Max 2X + 3Y s.t. 5X +5Y ≤ 400 -1X+ 1Y...
Consider the following linear program: Max 2X + 3Y s.t. 5X +5Y ≤ 400 -1X+ 1Y ≥ 10 1X + 3Y ≥ 90 X, Y ≥ 0 a. Use the graphical solution procedure to find the optimal solution. b. Conduct a sensitivity analysis to determine the range of optimality for the objective function coefficients X & Y. c. What are the binding constraints? d. If the right-hand-side of the binding constraints are marginally increased, what will be the Dual Value?
1. Write the forms of the series expansion about the regular singular point x=0 for two...
1. Write the forms of the series expansion about the regular singular point x=0 for two linearly independent solutions to the following differential equation (do not compute the coefficients in the expansions): zºy'(x) - xy'(x) + (1 - x)y(x) = 0. (1) 2. Does the following system of equations have an unique solution? Explain your reason for the answer (do not find the solution). 2x 1 + 4x2 + x3 = 8 2x + 4.62 = 6 -401 - 8x2...
-y-2x 2+2y de If - 1 + xy + y2 + x2 = 0 and it...
-y-2x 2+2y de If - 1 + xy + y2 + x2 = 0 and it is known that day find all coordinate points on the curve where x = -1 and the line tangent to the curve is horizontal, or state that no such points exist.
differential equations 1 +.. 8 Find two power series solutions of the given differential equation about...
differential equations
1 +.. 8 Find two power series solutions of the given differential equation about the ordinary point x = 0. (x2 + 1)" - 6y = 0 O Y1 = 1 + x2 + 3x4 xo and Y2 = x = x + 3x3 16 O x1 = 1 + 3x2 + x4 – xo + and y2 = x + x3 O Y1 = 1 + 3x2 + 5x* + 7x® + ... and y2 = x...
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...
Find the solution to the linear system of differential equations
{?′?′==−2?+12?−?+5?{x′=−2x+12yy′=−x+5y satisfying the
initial conditions ?(0)=1x(0)=1 and ?(0)=0y(0)=0.
د (1 point) Find the solution to the linear system of differential equations { -2x + 12y -x + 5y satisfying the initial conditions x(0) = 1 y د and y(0) = 0. x(t) = yt) =
differential equations
Consider the following differential equation to be solved using a power series. y" + xy = 0 On Using the substitution y = cryn, find an expression for Ck + 2 in terms of Ck - 1 for k = 1, 2, 3... n = 0 Ck +2= + 6 Find two power series solutions of the given differential equation about the ordinary point x = 0. x3 O Y1 = 1 - xo and y2 = x...
L.P. Model: 20- Maximize Subject to: 18- Z= 2X + 8Y 1X + 2Y = 6 5X + 1 Y = 20 X,Y 20 (C1) (C2) 16- 14- On the graph on right, the constraints C, and Cy have been plotted. 12- Using the point drawing tool, plot the four corner points for the feasible area. 10- 8- 6- 4- 2- 0- 0 2 4 6 00- 12 14 16 00 20 10 X
7. Solve the following differential equations. dy 2 y= 5x, x>0. + a) dx dx 1+2x 4e', t>0 b) t dt
7. Solve the following differential equations. dy 2 y= 5x, x>0. + a) dx dx 1+2x 4e', t>0 b) t dt
14. Ifx:0, then u + A. Z 5u B. 5u 7x C. 29u 5x 5x 15. -2 -1 0 1 2 The solution set of which of the following inequalities is graphed on the number line above? A. 2x-4 2-3 B. 2x+5s6 C. 3x-1s5 D. 4x-127 16, 2x+6y = 5 x +3y 2 How many solutions (x, y) are there to the system of equations above? A. None B. One C. Two D. More than two
1. Write the forms of the series expansion about the regular singular point x=0 for two linearly independent solutions to the following differential equation (do not compute the coefficients in the expansions): zºy'(x) - xy'(x) + (1 - x)y(x) = 0. (1) 2. Does the following system of equations have an unique solution? Explain your reason for the answer (do not find the solution). 2x 1 + 4x2 + x3 = 8 2x + 4.62 = 6 -401 - 8x2...
-y-2x 2+2y de If - 1 + xy + y2 + x2 = 0 and it is known that day find all coordinate points on the curve where x = -1 and the line tangent to the curve is horizontal, or state that no such points exist.
differential equations
1 +.. 8 Find two power series solutions of the given differential equation about the ordinary point x = 0. (x2 + 1)" - 6y = 0 O Y1 = 1 + x2 + 3x4 xo and Y2 = x = x + 3x3 16 O x1 = 1 + 3x2 + x4 – xo + and y2 = x + x3 O Y1 = 1 + 3x2 + 5x* + 7x® + ... and y2 = x...
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...
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