Question Question 6 (2 marks) Attempt 1 (Second Order Non-homogeneous Equation) Find a particular integral xp for t...
Question 17 (2 marks) Attempt 1 f(t) satisfies the integral equation (4+12) -CO Find the solution of the integral equation using Fourier transforms. Your answer should be expressed as a function of t using the correct syntax. f(t)= Skipped Question 17 (2 marks) Attempt 1 f(t) satisfies the integral equation (4+12) -CO Find the solution of the integral equation using Fourier transforms. Your answer should be expressed as a function of t using the correct syntax. f(t)= Skipped
Question Question 17 (2 marks) Attempt 1 f(t) satisfies the integral equation: Find the solution of the integral equation using Fourier transforms Your answer should be expressed as a function of t using the correct syntax. f(t)- Skipped Question Question 17 (2 marks) Attempt 1 f(t) satisfies the integral equation: Find the solution of the integral equation using Fourier transforms Your answer should be expressed as a function of t using the correct syntax. f(t)- Skipped
thank you for the help :) Question Question 17 (2 marks) Attempt 1 f(t) satisfies the integral equation: f(t)-5 | f(t-u) e-liu H(u) du=12 sgn(t-2) Find the solution of the integral equation using Fourier transforms. Your answer should be expressed as a function of t using the correct syntax f() Skipped Question Question 17 (2 marks) Attempt 1 f(t) satisfies the integral equation: f(t)-5 | f(t-u) e-liu H(u) du=12 sgn(t-2) Find the solution of the integral equation using Fourier transforms....
5) Consider the second order linear non-homogeneous differential equation tay" - 2y = 3t2 - 1,t> 0. a) Verify that y(t) = t- and y(t) = t-1 satisfy the associated homogeneous equation tay" - 2y = 0. (5 points) b) Find a particular solution to the non-homogeneous differential equation. (10 points) c) Find the general solution to the non-homogeneous differential equation. (5 points)
3. Consider the non homogeneous heat equation ut- urr+ 1 with non homogeneous boundary conditions u(0. t) 1, u(1t) (a) Find the equilibrium solution ueqx) to the non homogeneous equation. (b) The solution w(r, t) to the homogenized PDE wt-Wra, with w(0,t,t)0 1S -1 Verify that ugen(x, t)Ue(x) +w(x, t) solves the full PDE and BCs (c) Let u(x,0)- f(x) - 2 - ^2 be the initial condition. Find the particular solution by specifying all Fourier coefficients 3. Consider the...
Find a particular solution, yp(x), of the non-homogeneous differential equation d2 +y(x) = 6 ((x)) +9 y(x) = 6 x+2, d x2 given that yh(x) = A e3x +B x @3x is the general solution of the corresponding homogeneous ODE. The form of yp(x) that you would try is Oyp = ax + b Oyp = a 2x Oyp = ax2 3x Enter your answer in Maple syntax only the function defining yp(x) in the box below. For example, if...
Q1 State a first order non-linear and non-homogeneous differential equation. Solve using - Exact Equation Approach Q2 State a second order linear and non-homogeneous differential equation. Solve using - Undetermined Coefficient Approach Please state the DE and solve it , as I want to know how you answer it , then i can practice with the real DE given by the question
Please find y(1.4) Question Question 12 (3 marks) Special Attempt 1 A system of two first order differential equations can be written as A second order explicit Runge-Kutta scheme for the system of two first order equations is k1hn,un,vn), un+1 Consider the following second order differential equation d-y + 2 y-9y with y(1) and y'(1) 4 1. , Use the Runge-kutta scheme to find an approximate solution of the second order differential equation, at x-1.4, if the step size h...
Question Three: (7 marks) (a) Find the general solution of the following homogeneous equation. (b) Apply the method of Undetermined Coefficients to write ONLY the form of the particular solution of the following nonhomogeneous equation "-2y+5y 24re* cos(2x). Question Three: (7 marks) (a) Find the general solution of the following homogeneous equation. (b) Apply the method of Undetermined Coefficients to write ONLY the form of the particular solution of the following nonhomogeneous equation "-2y+5y 24re* cos(2x).
Last attempt please help!! ft) satisfies the integral equation: CO Find the solution of the integral equation using Fourier transforms. Your answer should be expressed as a function of t using the correct syntax. f(t)- Skipped ft) satisfies the integral equation: CO Find the solution of the integral equation using Fourier transforms. Your answer should be expressed as a function of t using the correct syntax. f(t)- Skipped