need help with a) and b), thanks!
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need help with a) and b), thanks!
4.1.10. For each of the following initial temperature distributions,...
need help with #3 L. (3Upts) Consider the following ivp I)(24), 2(0) = 1.5. ut show...
need help with #3
L. (3Upts) Consider the following ivp I)(24), 2(0) = 1.5. ut show that this ivp has a unique solution that exists everywhere on (-00, oo). Sk etch the graph of this solution with explanations (monotonicity, concavity,..) ow that the following initial value problem has a unique solution that exists for all t. cos(a) cos(et), a" +sin(a") cos(a') i r(0)-1, r"(0) = 0 . 4. (30 pts) Consider the following ivp r, y, 2x + y +...
(a) Consider the one-dimensional heat equation for the temperature u(x, t), Ou,02u where c is the...
(a) Consider the one-dimensional heat equation for the temperature u(x, t), Ou,02u where c is the diffusivity (i) Show that a solution of the form u(x,t)-F )G(t) satisfies the heat equation, provided that 护F and where p is a real constant (ii) Show that u(x,t) has a solution of the form (,t)A cos(pr)+ Bsin(p)le -P2e2 where A and B are constants (b) Consider heat flow in a metal rod of length L = π. The ends of the rod, at...
Find the temperature function u(x,t)u(x,t) (where xx is the position along the rod in cm and...
Find the temperature function u(x,t)u(x,t) (where xx is the
position along the rod in cm and tt is the time) of a 1818 cm rod
with conducting constant 0.10.1 whose endpoint are insulated such
that no heat is lost, and whose initial temperature distribution is
given by:
u(x,0)={5 if 6≤x≤12
{0 otherwise
To start, we have L=18 0.1 Because the rods are insulated, we will use the cosine Fourier expansion. 22 Ac + =1 A cos(" )e| A cos( u(x,...
This is a question about Partial differential equation - Heat equation. Please help solving part (a)...
This is a question about
Partial differential equation - Heat equation. Please help solving
part (a) and show clear explanations. Thanks!
=K х 7. The temperature T(2,t) in an insulated rod of length L and diffusivity k is given by the heat equation ОТ 22T 0 < x < L. at Əx2' Initially this rod is at constant temperature To, and immediately after t=0 the temperature at x = L is suddenly increased to T1. The temperature at x =...
can someone help me with these ? thanks IULUI MU UNS Word Document or print out...
can someone help me with these ?
thanks
IULUI MU UNS Word Document or print out and write on it or write your work on your own sheet of paper (but have the question written out) 3) save the file with last name followed by first name 4) upload your file (either as word or as a PDF or pic) and put into the labeled Dropbox folder in Folio by the deadline. You can find the Dropbox folder under the...
5. Find the solution of the heat conduction problem for each initial condition given: Suxxx =...
5. Find the solution of the heat conduction problem for each initial condition given: Suxxx = 0<x<211, tu(0,1) = 0, tu(27,1) = 0, t> 0. (a) u(x,0) =(x) = -2sin(3x) - 3sin(4x) + 17sin(9x/2). (b) u(x,0) = f(x) = 8. (Hint: You may skip the integrations by using the result of #2(b).] (c) In each of cases (a) and (b), find the limit of u( 71,1) ast approaches 0. Are they different? Did you expect them to be different? 6....
Part A: For the reaction 2 A + B → C, the initial rate is measured...
Part A: For the reaction 2 A + B → C, the initial rate is measured at several different reactant concentrations. From the resulting tabulated data, determine the rate constant for the reaction. [A](M) [B](M) Initial Rate (M/s) 0.05 0.05 0.035 0.10 0.05 0.070 0.20 0.10 0.28 Answers?: 1.4×102M−2⋅s−1, 2.8×102M−2⋅s−1, 28M−2⋅s−1, 14M−1⋅s−1 Which one of these is it, and how? Part B: The aquation of tris(1,10-phenanthroline)iron(II) in acid solution takes place according to the equation: Fe(phen)32+ + 3 H3O+ +...
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...
I need help with question 30d 16. y = 0 (that is, y(x) = 0 for...
I need help with question 30d
16. y = 0 (that is, y(x) = 0 for all x, also written y(x) = 0) is a solution of (2) (not of (1) if (x) • o , called the trivial solution 17. The sum of a solution of (1) and a solution of (2) is a solution of (1). 18. The difference of two solutions of (1) is a solution of (2). 19. If yı is a solution of (1), what...
i need help with everything please!! WWLWUNA HOSILNILNIUSPRING 2020) Chapter #14 The following practice problems from...
i need help with everything please!!
WWLWUNA HOSILNILNIUSPRING 2020) Chapter #14 The following practice problems from Chang's text are not to be submitted. The numbers in brackets refer to problems appearing at the end of the chapter. Equilibrium Constant Expressions (14.8, 14.9) Calculating Equilibrium Constants (14.13 to 14.24: Do as many as you can) Multiple Equilibria (14.29, 14.31) Kinetics and Chemical Equilibrium (14.35, 14.36) Calc. of Equilibrium Conc. (14.39 - 14.48) Do as many as you can. LeChatlier's Principle (14.54,...
need help with #3
L. (3Upts) Consider the following ivp I)(24), 2(0) = 1.5. ut show that this ivp has a unique solution that exists everywhere on (-00, oo). Sk etch the graph of this solution with explanations (monotonicity, concavity,..) ow that the following initial value problem has a unique solution that exists for all t. cos(a) cos(et), a" +sin(a") cos(a') i r(0)-1, r"(0) = 0 . 4. (30 pts) Consider the following ivp r, y, 2x + y +...
(a) Consider the one-dimensional heat equation for the temperature u(x, t), Ou,02u where c is the diffusivity (i) Show that a solution of the form u(x,t)-F )G(t) satisfies the heat equation, provided that 护F and where p is a real constant (ii) Show that u(x,t) has a solution of the form (,t)A cos(pr)+ Bsin(p)le -P2e2 where A and B are constants (b) Consider heat flow in a metal rod of length L = π. The ends of the rod, at...
Find the temperature function u(x,t)u(x,t) (where xx is the
position along the rod in cm and tt is the time) of a 1818 cm rod
with conducting constant 0.10.1 whose endpoint are insulated such
that no heat is lost, and whose initial temperature distribution is
given by:
u(x,0)={5 if 6≤x≤12
{0 otherwise
To start, we have L=18 0.1 Because the rods are insulated, we will use the cosine Fourier expansion. 22 Ac + =1 A cos(" )e| A cos( u(x,...
This is a question about
Partial differential equation - Heat equation. Please help solving
part (a) and show clear explanations. Thanks!
=K х 7. The temperature T(2,t) in an insulated rod of length L and diffusivity k is given by the heat equation ОТ 22T 0 < x < L. at Əx2' Initially this rod is at constant temperature To, and immediately after t=0 the temperature at x = L is suddenly increased to T1. The temperature at x =...
can someone help me with these ?
thanks
IULUI MU UNS Word Document or print out and write on it or write your work on your own sheet of paper (but have the question written out) 3) save the file with last name followed by first name 4) upload your file (either as word or as a PDF or pic) and put into the labeled Dropbox folder in Folio by the deadline. You can find the Dropbox folder under the...
5. Find the solution of the heat conduction problem for each initial condition given: Suxxx = 0<x<211, tu(0,1) = 0, tu(27,1) = 0, t> 0. (a) u(x,0) =(x) = -2sin(3x) - 3sin(4x) + 17sin(9x/2). (b) u(x,0) = f(x) = 8. (Hint: You may skip the integrations by using the result of #2(b).] (c) In each of cases (a) and (b), find the limit of u( 71,1) ast approaches 0. Are they different? Did you expect them to be different? 6....
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...
I need help with question 30d
16. y = 0 (that is, y(x) = 0 for all x, also written y(x) = 0) is a solution of (2) (not of (1) if (x) • o , called the trivial solution 17. The sum of a solution of (1) and a solution of (2) is a solution of (1). 18. The difference of two solutions of (1) is a solution of (2). 19. If yı is a solution of (1), what...
i need help with everything please!!
WWLWUNA HOSILNILNIUSPRING 2020) Chapter #14 The following practice problems from Chang's text are not to be submitted. The numbers in brackets refer to problems appearing at the end of the chapter. Equilibrium Constant Expressions (14.8, 14.9) Calculating Equilibrium Constants (14.13 to 14.24: Do as many as you can) Multiple Equilibria (14.29, 14.31) Kinetics and Chemical Equilibrium (14.35, 14.36) Calc. of Equilibrium Conc. (14.39 - 14.48) Do as many as you can. LeChatlier's Principle (14.54,...
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