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please show all your work . (6 points) Of the four initial or boundary value problems below, ouly one is guaranteed...
Determine which of the following initial value problems is correctly associated to the longest interval guaranteed...
Determine which of the following initial value problems is correctly associated to the longest interval guaranteed by the existence and uniqueness theorem. y O [0, 4); ty" = 0, y(1) = 0, y (1) = -2 O (5,00); (x – 5)3 dy – 3(x + 2)2 dy CU 3+3 v(2) = -1,v' (2) = 1 1 d.c3 dx2 0(-1,1); 2(t– 1)y" + 3ty - y=et, y(0) = 1, y (0) = 0 (-0,3); xạy" + 2xy – y = 713,...
6. (2 pts) Consider the following initial value problem: y' = (t + y)?y2 + sin(yº)...
6. (2 pts) Consider the following initial value problem: y' = (t + y)?y2 + sin(yº) + yety, y(0) = 0. This initial value problem satisfies the existence and uniqueness theorem criteria using interval (-0, 0) for both thet and y variables, and hence has a unique solutoin. Find this unique solution. Hint: None of the techniques we've learned for explicitly solving will work. Instead, try plugging the initial condition into the differential equation and think about what that tells...
I want just c^n Let u be the solution to the initial boundary value problem for...
I want just c^n
Let u be the solution to the initial boundary value problem for the Heat Equation, дли(t, х) — 5 дғи(t, х), te (0, co) хE (0, 1); with initial condition хе х, u(0, х) %—D f(x) 1 хе 2 and with boundary conditions u(t, 0) 0 дди(t, 1) 3 0. Find the solution u using the expansion u(t, х) = "(х)"n ()"а ", n=1 with the normalization conditions | Un(0) 1 Wn = ]. (2n -...
In each of Problems 1 through 8, solve the initial-boundary value problem using separation of variables....
In
each of Problems 1 through 8, solve the initial-boundary value
problem using separation of variables. Graph the fiftieth partial
sum of the solution for some values of t. with c = 1 if c is
unspecified in the problem.
a2y = 4- for 0< x <3, t >0 1. at2 ax2 y(0, t)=y(3, t)=0 for t 0 y(x, 0) (x, 0) = x (3- x) for 0x3 0, at a2y yfor 0 <x < 4, t > 0 4....
please show all work. Thanks in advance :) To determine the 5 key points, you want to determine the x-coordinates of...
please show all work. Thanks in advance :)
To determine the 5 key points, you want to determine the x-coordinates of each quarter period. For exam sin(Bx + C), you want to set Bx + C equal to ple, to graph a function in the form y 0巨,T,T, and 2π to determine the new x-coordinates that you will use in your graphs. ch a detailed graph for each of the following functions. Graph at least one full period, indicating the...
Please show all work and answer all parts of the question. Please do not repost the question and ...
Please show all work and answer all parts of the question.
Please do not repost the question and if you do please at least
include the actual code and not the written answer that is
incorrect to other posts.
Consider the initial boundary value problem (IBVP) for the 1-D wave equation on a finite domain: y(0,t) 0, t > 0 t > 0 y(1,0) f(x) where f(x) =-sin ( 2 π-π (a) Plot the initial condition f(x) on the given...
Could you solve all the problems, please? Thank you D ie 15 points 50 1. Solve...
Could you solve all the problems, please? Thank you
D ie 15 points 50 1. Solve the initial value problem y + 4y' + 40y = cos 3t. y(0) = 0, 7(0) = - 1. 2. Over what interval can you be sure that there is a solution to the initial value problem (tỷ - 36 (t? - 1) / + y =t-. (3) = - 3, 4 (3) = 0 ? Why? 3. Let 41. y2 be solutions to...
Please show all your work HW3: Problem 7 Previous Problem Problem List Next Problem (1 point)...
Please show all your work
HW3: Problem 7 Previous Problem Problem List Next Problem (1 point) Fundamental Existence Theorem for Linear Differential Equations Given the IVP dz1 d"y d" - 4.(2) +4-1(2) +...+41 () dy +40()y=g(2) dr y(t) = yo, y(t)= y yn-1 (3.) = Yn1 If the coefficients (1),..., Go() and the right hand side of the equation g(1) are continuous on an interval I and if (1) #0 on I then the IVP has a unique solution for...
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...
2. The solution to the boundary value problem y' + way=0, y(0) =0, y(1) - y'(1)...
2. The solution to the boundary value problem y' + way=0, y(0) =0, y(1) - y'(1) = 0 is y(x) = an sin(Zral) T=1 where the an are Fourier coefficients and the Zn are zeros of tan(w) To compute the zeros we can solve the fixed point problem w= tan(w). (i) Draw a graph of y=w and y=tan(w) on the interval (-37, 37). (ii) How many zeros of f(w) =tan(w) - w do we expect for all w. (iii) As...
Determine which of the following initial value problems is correctly associated to the longest interval guaranteed by the existence and uniqueness theorem. y O [0, 4); ty" = 0, y(1) = 0, y (1) = -2 O (5,00); (x – 5)3 dy – 3(x + 2)2 dy CU 3+3 v(2) = -1,v' (2) = 1 1 d.c3 dx2 0(-1,1); 2(t– 1)y" + 3ty - y=et, y(0) = 1, y (0) = 0 (-0,3); xạy" + 2xy – y = 713,...
6. (2 pts) Consider the following initial value problem: y' = (t + y)?y2 + sin(yº) + yety, y(0) = 0. This initial value problem satisfies the existence and uniqueness theorem criteria using interval (-0, 0) for both thet and y variables, and hence has a unique solutoin. Find this unique solution. Hint: None of the techniques we've learned for explicitly solving will work. Instead, try plugging the initial condition into the differential equation and think about what that tells...
I want just c^n
Let u be the solution to the initial boundary value problem for the Heat Equation, дли(t, х) — 5 дғи(t, х), te (0, co) хE (0, 1); with initial condition хе х, u(0, х) %—D f(x) 1 хе 2 and with boundary conditions u(t, 0) 0 дди(t, 1) 3 0. Find the solution u using the expansion u(t, х) = "(х)"n ()"а ", n=1 with the normalization conditions | Un(0) 1 Wn = ]. (2n -...
In
each of Problems 1 through 8, solve the initial-boundary value
problem using separation of variables. Graph the fiftieth partial
sum of the solution for some values of t. with c = 1 if c is
unspecified in the problem.
a2y = 4- for 0< x <3, t >0 1. at2 ax2 y(0, t)=y(3, t)=0 for t 0 y(x, 0) (x, 0) = x (3- x) for 0x3 0, at a2y yfor 0 <x < 4, t > 0 4....
please show all work. Thanks in advance :)
To determine the 5 key points, you want to determine the x-coordinates of each quarter period. For exam sin(Bx + C), you want to set Bx + C equal to ple, to graph a function in the form y 0巨,T,T, and 2π to determine the new x-coordinates that you will use in your graphs. ch a detailed graph for each of the following functions. Graph at least one full period, indicating the...
Please show all work and answer all parts of the question.
Please do not repost the question and if you do please at least
include the actual code and not the written answer that is
incorrect to other posts.
Consider the initial boundary value problem (IBVP) for the 1-D wave equation on a finite domain: y(0,t) 0, t > 0 t > 0 y(1,0) f(x) where f(x) =-sin ( 2 π-π (a) Plot the initial condition f(x) on the given...
Could you solve all the problems, please? Thank you
D ie 15 points 50 1. Solve the initial value problem y + 4y' + 40y = cos 3t. y(0) = 0, 7(0) = - 1. 2. Over what interval can you be sure that there is a solution to the initial value problem (tỷ - 36 (t? - 1) / + y =t-. (3) = - 3, 4 (3) = 0 ? Why? 3. Let 41. y2 be solutions to...
Please show all your work
HW3: Problem 7 Previous Problem Problem List Next Problem (1 point) Fundamental Existence Theorem for Linear Differential Equations Given the IVP dz1 d"y d" - 4.(2) +4-1(2) +...+41 () dy +40()y=g(2) dr y(t) = yo, y(t)= y yn-1 (3.) = Yn1 If the coefficients (1),..., Go() and the right hand side of the equation g(1) are continuous on an interval I and if (1) #0 on I then the IVP has a unique solution for...
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...
2. The solution to the boundary value problem y' + way=0, y(0) =0, y(1) - y'(1) = 0 is y(x) = an sin(Zral) T=1 where the an are Fourier coefficients and the Zn are zeros of tan(w) To compute the zeros we can solve the fixed point problem w= tan(w). (i) Draw a graph of y=w and y=tan(w) on the interval (-37, 37). (ii) How many zeros of f(w) =tan(w) - w do we expect for all w. (iii) As...
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