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た1n't : a) Fod the partial sen Sie of the his na Esthnede the enornSro as on approtian Methl lo ...
Consider the second order partial differential equation du/dt= d^2u/dx^2 +2du/dx+u over the domain x in [0,l) and t>=...
Consider the second order partial differential equation du/dt=
d^2u/dx^2 +2du/dx+u over the domain x in [0,l) and t>=0. It is
given that u(0,t)=u(l,t)=0. Use the method of separation of
variables to prove that the general solution with the given
boundary condition is u(x,t)= infinity series n=1
bnsin(npix/l)exp(-x-((npi/l)^2)t) where bn is
a constant for every n N
Hint u(x,t)=X(x)T(t)
tnsit te Seind ond partial difertinl cuatan +2n St the dowain e To,e) an Use metod o Separet ion Vaiades to rore...
Partial Differential Equations: Some selected answers from the back of the book for refernce,...
Partial Differential Equations:
Some selected answers from the back of the book for refernce,
any help would be appreciated:
2.3.3. Consider the heat equation subject to the boundary conditions u(0,t)0 and u(L, t)-0. Solve the initial value problem if the temperature is initially (a) u(x, 0)6in t (b) u(z,0) = 3 sin -sin 뿡 1 0
Want to se what u plug in to the formula step by step
want to se what u plug in to the formula step by step
0 out of 1 poi Note: The value of L will randomly generate and so will change each time you afttmt this problem to = ten sin For the diagram shown above, calculale the shear and moment dagram where wo-3 buft and L-t Hints Hints Step 1-solve for the resultant force for the distributed load Don't be ustored by the fact ha the rce is non Refer...
14.44 please explain on paper please with formulas step by step what is the partial We...
14.44 please explain on paper please with formulas step by
step
what is the partial We begin b) At what time will the th its initial value decomposition of the ulcum th an initial SO.Cl pressure of 150 torr. w ssure of this substance after 60 s? (b) At who nartial pressure of SO,Cl decline to one-tenth its in The first-order rate constant for the decompo N.O. 2 N,Os(8) — 4NO2(8) + O2(g), at 70 °C 10 . Suppose we...
1. (10 points, part I) Consider the following initial boundary value problem lU (la) (1b) (1c) 0L, t> 0 3 cos ( a(x, 0) (a) Classify the partial differential equation (1a) (b) What do the equation...
1. (10 points, part I) Consider the following initial boundary value problem lU (la) (1b) (1c) 0L, t> 0 3 cos ( a(x, 0) (a) Classify the partial differential equation (1a) (b) What do the equations (la)-(1c) model? (Hint: Give an interpretation for the PDE, boundary conditions and intial condition.) c) Use the method of separation of variables to separate the above problem into two sub- problems (one that depends on space and the other only on time) (d) What...
Solve the given initial value problem using the method of Laplace transforms. y'' + 3y' +2y...
Solve the given initial value problem using the method of Laplace transforms. y'' + 3y' +2y = tu(t-3); y(0) = 0, y'(0) = 1 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Solve the given initial value problem. y(t) = | Properties of Laplace Transforms L{f+g} = £{f} + L{g} L{cf} = CL{f} for any constant £{e atf(t)} (s) = L{f}(s-a) L{f'}(s) = sL{f}(s) – f(0) L{f''}(s) =...
151 12. There are five multiple choice questions on this page. Three marks each. No partial...
151 12. There are five multiple choice questions on this page. Three marks each. No partial marks. There is only one correct answer for each question. Circle the correct answer. (i) Consider the subgroup H = ([16]) of the additive group Z40- Which of the following left cosets of H is equal to [7] + H ? (A) (17) + H (B) (18) + H (C) [28] + H (D) [39] + H (E) [29] + H (ii) What is...
e vede s Considera prowth free cash flow in one year of 130.000 na weak antor...
e vede s Considera prowth free cash flow in one year of 130.000 na weak antor 180.000 in a strong ma h achulcome being the inte ment regard for the project 100.000 and the pr 20% Thereforestre 10 Asume nowe or distress ) a. What is the NPV of this project b. Surpose that to raise the ind for the initial investment, the project is to investors as an u tem The guy holders will receive the cash fow of...
q 8)a.b.c Chapter 7 Homewc × 1 D) Chapter 7 Homewox Standard Deviation × 8.3-Co dav/pid-4932547-dt-conten...
q
8)a.b.c
Chapter 7 Homewc × 1 D) Chapter 7 Homewox Standard Deviation × 8.3-Co dav/pid-4932547-dt-conten t-rid-22446023_1 /courses/21 91-14068/Chapter%207%20Homew ork.pdf Chapter 7 Homework LetXvx, ,X, be a random sample from the distribution Nurg) and n.xr",Ym be a random sample from NA,o,). The two samples are independent of each other. 1. Let 20 and ơx-4 . Determine P(X < 21) for the following values of n. a) n=4 2. Let 20 and σ.-2. Determine P(X <21) for the following values of...
Gerald Glynn manages the Michaels Distribution Center. After careful examination of his database information, he has...
Gerald Glynn manages the Michaels Distribution Center. After careful examination of his database information, he has determined the daily requirements for part-time loading dock personnel. The distribution center operates 7 days a week, and the daily part-time staffing requirements are Day Th Requirements4 Find the minimum number of workers Glynn must hire. Prepare a workforce schedule for these individuals so that each will have 2 consecutive days off per week and all staffing requirements will be satisfied. Give preference o...
Consider the second order partial differential equation du/dt=
d^2u/dx^2 +2du/dx+u over the domain x in [0,l) and t>=0. It is
given that u(0,t)=u(l,t)=0. Use the method of separation of
variables to prove that the general solution with the given
boundary condition is u(x,t)= infinity series n=1
bnsin(npix/l)exp(-x-((npi/l)^2)t) where bn is
a constant for every n N
Hint u(x,t)=X(x)T(t)
tnsit te Seind ond partial difertinl cuatan +2n St the dowain e To,e) an Use metod o Separet ion Vaiades to rore...
Partial Differential Equations:
Some selected answers from the back of the book for refernce,
any help would be appreciated:
2.3.3. Consider the heat equation subject to the boundary conditions u(0,t)0 and u(L, t)-0. Solve the initial value problem if the temperature is initially (a) u(x, 0)6in t (b) u(z,0) = 3 sin -sin 뿡 1 0
want to se what u plug in to the formula step by step
0 out of 1 poi Note: The value of L will randomly generate and so will change each time you afttmt this problem to = ten sin For the diagram shown above, calculale the shear and moment dagram where wo-3 buft and L-t Hints Hints Step 1-solve for the resultant force for the distributed load Don't be ustored by the fact ha the rce is non Refer...
14.44 please explain on paper please with formulas step by
step
what is the partial We begin b) At what time will the th its initial value decomposition of the ulcum th an initial SO.Cl pressure of 150 torr. w ssure of this substance after 60 s? (b) At who nartial pressure of SO,Cl decline to one-tenth its in The first-order rate constant for the decompo N.O. 2 N,Os(8) — 4NO2(8) + O2(g), at 70 °C 10 . Suppose we...
1. (10 points, part I) Consider the following initial boundary value problem lU (la) (1b) (1c) 0L, t> 0 3 cos ( a(x, 0) (a) Classify the partial differential equation (1a) (b) What do the equations (la)-(1c) model? (Hint: Give an interpretation for the PDE, boundary conditions and intial condition.) c) Use the method of separation of variables to separate the above problem into two sub- problems (one that depends on space and the other only on time) (d) What...
Solve the given initial value problem using the method of Laplace transforms. y'' + 3y' +2y = tu(t-3); y(0) = 0, y'(0) = 1 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Solve the given initial value problem. y(t) = | Properties of Laplace Transforms L{f+g} = £{f} + L{g} L{cf} = CL{f} for any constant £{e atf(t)} (s) = L{f}(s-a) L{f'}(s) = sL{f}(s) – f(0) L{f''}(s) =...
151 12. There are five multiple choice questions on this page. Three marks each. No partial marks. There is only one correct answer for each question. Circle the correct answer. (i) Consider the subgroup H = ([16]) of the additive group Z40- Which of the following left cosets of H is equal to [7] + H ? (A) (17) + H (B) (18) + H (C) [28] + H (D) [39] + H (E) [29] + H (ii) What is...
e vede s Considera prowth free cash flow in one year of 130.000 na weak antor 180.000 in a strong ma h achulcome being the inte ment regard for the project 100.000 and the pr 20% Thereforestre 10 Asume nowe or distress ) a. What is the NPV of this project b. Surpose that to raise the ind for the initial investment, the project is to investors as an u tem The guy holders will receive the cash fow of...
q
8)a.b.c
Chapter 7 Homewc × 1 D) Chapter 7 Homewox Standard Deviation × 8.3-Co dav/pid-4932547-dt-conten t-rid-22446023_1 /courses/21 91-14068/Chapter%207%20Homew ork.pdf Chapter 7 Homework LetXvx, ,X, be a random sample from the distribution Nurg) and n.xr",Ym be a random sample from NA,o,). The two samples are independent of each other. 1. Let 20 and ơx-4 . Determine P(X < 21) for the following values of n. a) n=4 2. Let 20 and σ.-2. Determine P(X <21) for the following values of...
Gerald Glynn manages the Michaels Distribution Center. After careful examination of his database information, he has determined the daily requirements for part-time loading dock personnel. The distribution center operates 7 days a week, and the daily part-time staffing requirements are Day Th Requirements4 Find the minimum number of workers Glynn must hire. Prepare a workforce schedule for these individuals so that each will have 2 consecutive days off per week and all staffing requirements will be satisfied. Give preference o...
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