Homework Answers
by
using method of variable separable i was solved this problem
If you have any queries feel free to ask
Add Answer to:
code + £u (t) = 0 a) Write the solution to this differential equation, i.e. what...
Consider the partial differential equation together with the boundary conditions u(0, t) 0 and u(1,t)0 for t20 and the initial condition u(z,0) = z(1-2) for 0 < x < 1. (a) If n is a positive in...
Consider the partial differential equation together with the boundary conditions u(0, t) 0 and u(1,t)0 for t20 and the initial condition u(z,0) = z(1-2) for 0 < x < 1. (a) If n is a positive integer, show that the function , sin(x), satisfies the given partial differential equation and boundary conditions. (b) The general solution of the partial differential equation that satisfies the boundary conditions is Write down (but do not evaluate) an integral that can be used to...
(4) (a) Compute the Fourier series for the function f(s)-- interval [-T, on the (b) Compute the solution u(t,a) for the partial differential equation on the interval [o, ) luWith u(t, 0) u(t,1)-0...
(4) (a) Compute the Fourier series for the function f(s)-- interval [-T, on the (b) Compute the solution u(t,a) for the partial differential equation on the interval [o, ) luWith u(t, 0) u(t,1)-0 for t>0 (boundary conditions) u(o,z)-3 sin(2x)-5 sin(5z) + sin(6z), for O < < 1 (initial conditions) (20 points)
(4) (a) Compute the Fourier series for the function f(s)-- interval [-T, on the (b) Compute the solution u(t,a) for the partial differential equation on the interval [o, )...
the above interval. for any 0 for 4.a) Write a third order Taylor approx the solution of the differential equation 1/ = z + y with initial condition y(0) 2 b) Assume y = φ(z) is a solution of the...
the above interval. for any 0 for 4.a) Write a third order Taylor approx the solution of the differential equation 1/ = z + y with initial condition y(0) 2 b) Assume y = φ(z) is a solution of the differential equation y terms of the Taylor series of φ(z) at z = zo (ie., the error term should be O(h*)) imation (i.e., an approximation that involves t/") at z Write out the first four , f (z,v).
the above...
Solve for v(t), t>0. a. Find the initial conditions. b. Write the differential equation. c. Find...
Solve for v(t), t>0.
a. Find the initial conditions.
b. Write the differential equation.
c. Find the general form of the solution.
d. Find the coefficients of the solution by matching the initial
conditions.
t=0 100V 0.22 } 1F + 0.25H3
WAVE EQUATION (Applied Differential Equations) Write out the solution of with ...
WAVE EQUATION (Applied Differential Equations) Write out the solution of with , and . Then graph the shape of the wave at different t-values and describe the motion. Graph the velocity at different times and discuss its values. 41111-utt ці0. t) = u(6, t) = 0 a(2, 0-0 1 12 41111-utt ці0. t) = u(6, t) = 0 a(2, 0-0 1 12
Consider the differential equation y(t) + 69(r) + 5y( Q3. t)u(t), where y(0) (0)0 and iu(t) is a ...
Matlab code for the following problems.
Consider the differential equation y(t) + 69(r) + 5y( Q3. t)u(t), where y(0) (0)0 and iu(t) is a unit step. Deter- mine the solution y(t) analytically and verify by co-plotting the analytic solution and the step response obtained with the step function. Consider the mechanical system depicted in Figure 4. The input is given by f(t), and the output is y(t). Determine the transfer function from f(t) to y(t) and, using an m-file, plot...
1. Consider the Partial Differential Equation ot u(0,t) = u(r, t) = 0 a(x, 0)-x (Y), sin (! We know the general solution to the Basic Heat Equation is u(z,t)-Σ b e ). n= 1 (b) Find the unique solutio...
1. Consider the Partial Differential Equation ot u(0,t) = u(r, t) = 0 a(x, 0)-x (Y), sin (! We know the general solution to the Basic Heat Equation is u(z,t)-Σ b e ). n= 1 (b) Find the unique solution that satisfies the given initial condition ur, 0) -2. (Hint: bn is given by the Fourier Coefficients-f(z),sin(Y- UsefulFormulas/Facts for PDEs/Fourier Series 1)2 (TiT) » x sin aL(1)1 a24(부) (TiT) 1)+1 0
1. Consider the Partial Differential Equation ot u(0,t) =...
The function u(x, t) satisfies the partial differential equation with the boundary conditions u(0,t) = 0...
The function u(x, t) satisfies the partial differential equation with the boundary conditions u(0,t) = 0 , u(1,t) = 0 and the initial condition u(x,0) = f(x) = 2x if 0<x<} 2(1 – x) if}<x< 1 . The initial velocity is zero. Answer the following questions. (1) Obtain two ODES (Ordinary Differential Equations) by the method of separation of variables and separating variable -k? (2) Find u(x, t) as an infinite series satisfying the boundary condition and the initial condition.
Find a general solution to the given differential equation. 21y'' + 8y' - 5y = 0 A general solution is y(t) = _______ .
1.Find a general solution to the given differential equation. 21y'' + 8y' - 5y = 0 A general solution is y(t) = _______ .2.Solve the given initial value problem. y'' + 3y' = 0; y(0) = 12, y'(0)= - 27 The solution is y(t) = _______ 3.Find three linearly independent solutions of the given third-order differential equation and write a general solution as an arbitrary linear combination of them z"'+z"-21z'-45z = 0 A general solution is z(t) = _______
Consider the partial differential equation together with the boundary conditions u(0, t) 0 and u(1,t)0 for t20 and the initial condition u(z,0) = z(1-2) for 0 < x < 1. (a) If n is a positive integer, show that the function , sin(x), satisfies the given partial differential equation and boundary conditions. (b) The general solution of the partial differential equation that satisfies the boundary conditions is Write down (but do not evaluate) an integral that can be used to...
(4) (a) Compute the Fourier series for the function f(s)-- interval [-T, on the (b) Compute the solution u(t,a) for the partial differential equation on the interval [o, ) luWith u(t, 0) u(t,1)-0 for t>0 (boundary conditions) u(o,z)-3 sin(2x)-5 sin(5z) + sin(6z), for O < < 1 (initial conditions) (20 points)
(4) (a) Compute the Fourier series for the function f(s)-- interval [-T, on the (b) Compute the solution u(t,a) for the partial differential equation on the interval [o, )...
the above interval. for any 0 for 4.a) Write a third order Taylor approx the solution of the differential equation 1/ = z + y with initial condition y(0) 2 b) Assume y = φ(z) is a solution of the differential equation y terms of the Taylor series of φ(z) at z = zo (ie., the error term should be O(h*)) imation (i.e., an approximation that involves t/") at z Write out the first four , f (z,v).
the above...
Solve for v(t), t>0.
a. Find the initial conditions.
b. Write the differential equation.
c. Find the general form of the solution.
d. Find the coefficients of the solution by matching the initial
conditions.
t=0 100V 0.22 } 1F + 0.25H3
Matlab code for the following problems.
Consider the differential equation y(t) + 69(r) + 5y( Q3. t)u(t), where y(0) (0)0 and iu(t) is a unit step. Deter- mine the solution y(t) analytically and verify by co-plotting the analytic solution and the step response obtained with the step function. Consider the mechanical system depicted in Figure 4. The input is given by f(t), and the output is y(t). Determine the transfer function from f(t) to y(t) and, using an m-file, plot...
1. Consider the Partial Differential Equation ot u(0,t) = u(r, t) = 0 a(x, 0)-x (Y), sin (! We know the general solution to the Basic Heat Equation is u(z,t)-Σ b e ). n= 1 (b) Find the unique solution that satisfies the given initial condition ur, 0) -2. (Hint: bn is given by the Fourier Coefficients-f(z),sin(Y- UsefulFormulas/Facts for PDEs/Fourier Series 1)2 (TiT) » x sin aL(1)1 a24(부) (TiT) 1)+1 0
1. Consider the Partial Differential Equation ot u(0,t) =...
The function u(x, t) satisfies the partial differential equation with the boundary conditions u(0,t) = 0 , u(1,t) = 0 and the initial condition u(x,0) = f(x) = 2x if 0<x<} 2(1 – x) if}<x< 1 . The initial velocity is zero. Answer the following questions. (1) Obtain two ODES (Ordinary Differential Equations) by the method of separation of variables and separating variable -k? (2) Find u(x, t) as an infinite series satisfying the boundary condition and the initial condition.
Most questions answered within 3 hours.
-
Two capacitors connected in parallel produce an equivalent
capacitance of 45.0 μF but when connected in...
asked 3 minutes ago -
The differences between the two sets of dependent data are -1,
2,-,2, 2. Round to the...
asked 20 minutes ago -
A χ2-curve, looking at the relationship between age and hours
spent working at an office per...
asked 51 minutes ago -
The pH of a sample of water from a river is 5.0. A
sample of effluent from...
asked 1 hour ago -
At the beginning of the period, the Fabricating Department
budgeted direct labor of $136,500 and equipment...
asked 2 hours ago -
Please answer all
____ 28. Rent control is usually
justified on the grounds that it protects...
asked 2 hours ago -
PARTS A-D HAVE BEEN ANSWERED. WAS TOLD TO REPOST. ONLY ANSWER
PARTS E and F.
A...
asked 2 hours ago -
2) You are given the task of finding a representation for a
circle in a drawing...
asked 3 hours ago -
STUDY QUESTION: Does use of diet drug fen-phen
(fenfluramine-phentermine) cause valvular heart disease?
HINT: Valvular heart...
asked 3 hours ago -
1. An object weighing 40 N rests on a surface. The coefficient
of friction is 0.35....
asked 4 hours ago -
Investor company owns 35% of investee company voting stock and
accounts for the investment under the...
asked 5 hours ago -
The number of major faults on a randomly chosen 1 km stretch of
highway has a...
asked 6 hours ago