Please Solve! State the full initial value-boundary value problems...
Please Solve! State the full initial value-boundary value problems... 1. State the full initial value-boundary value problems that result from the problems as origi- nally given when the steady-state...
please solve problems 1 & 4 & 13 & 17
Review exercise 21 Solve the following: dx2 dx dx2 0 dx For the o given that at t = t, 2 13 Obtain the general solution of the equation dy and determine the amplitude and frequency of the steady-state function [Note: The steady state function describes the behaviour of the solution as t00] 14 Solve the equation dx dx given that at t = 0, x = 0 and =...
Write out the solution
please
Find the steady-state solution of the heat conduction equation α2uxx-ut that satisfies the given set of boundary conditions. ux(0, t)-u(0, t) = 0, u(L, t)-T v(x) =
Find the steady-state solution of the heat conduction equation α2uxx-ut that satisfies the given set of boundary conditions. ux(0, t)-u(0, t) = 0, u(L, t)-T v(x) =
please show all your work
. (6 points) Of the four initial or boundary value problems below, ouly one is guaranteed to have a unique solution according to the Existence and Uniqueness Theorons. Which one i i (a) ty"-Py, + e'y = ), y(1)s 0, V(1) = T. tan (f (b) ty" + 2/-3y = 0, y (0)0. y(0) = 2, y(5) = 0. (d) V, + sec(t)y = sin(2t),
. (6 points) Of the four initial or boundary value...
solve the given DE or IVP (Initial-Value
Problems)
In Problems 2-5, solve the given DE or IVP (Initial-Value Problems) 3. y sin2 (4x - 4y +3)
please I need solution as soon as possible
Q2 Given the following heat conduction initial-boundary value problem of a thin homogeneous rod, where u(x, t) represents the temperature. 9uxx = uti 0<x< 6; t>0; B.C.: uz (0.t) = 0; ux(6,t) = 0; t> 0; 1. C. :U(x,0) = 12 + 5cos (6x) – 4cos(2x); 0<x<6 (a) When t = 0, what would be the temperature at x = 3? (Use the initial condition.) (3 marks) (6) Determine whether the boundary...
7. Solve the initial value problem --( y = -1 00 when the initial value is given as following: and discuss the behavior of the solution as t (you may sketch the solution curve.) (a) X(0) = (0,0.5).
7. Solve the initial value problem --( y = -1 00 when the initial value is given as following: and discuss the behavior of the solution as t (you may sketch the solution curve.) (a) X(0) = (0,0.5).
(2) Given the system -3 2 (t) =1-1-1 with zero initial conditions, find the steady-state value of the state vector r for a unit step input a(t) = 1(t).
(2) Given the system -3 2 (t) =1-1-1 with zero initial conditions, find the steady-state value of the state vector r for a unit step input a(t) = 1(t).
solve the given initial-value problem
For Problems 37-40, solve the given initial-value problem. 38. y" = cos x, y(0) = 2, y'(0) = 1. 40. y” = xe", y(0) = 3, y'(0) = 4.
ODE
- 1
Q.1 Solve the following first order linear initial value problems. (a) 2ndp - 0.4pdt -0, p(1)- 0.2 (b) v(f) dv (1) +*dt - 0, v(2) -2 + 2v ()- 6, v(0) - 10 (c) (d) The first order differential equation, initial value problem, - Sms, v(0) = 2ms. describes the motion of a car. Find an expression for the speed v () and determine the velocity of the car after 10 seconds from the beginning of its...
Q2 Given the following heat conduction initial-boundary value
problem of a thin homogeneous rod, where ?(?,?) represents the
temperature. 9??? = ?? ; 0 < ? < 6; ? > 0; B. C. : ??
(0,?) = 0; ?? (6,?) = 0; ? > 0; I. C. : ?(?, 0) = 12 + 5??? ( ?
6 ?) − 4???(2??); 0 < ? < 6 (a) When ? = 0, what would be the
temperature at ? = 3? (Use...