(1 point) In this problem you will solve the nonhomogeneous system -3 5]- -5 3 y t A. Write a fundamental matrix for the associated homogeneous system B. Compute the inverse C. Multiply by g and inte...
(1 point) In this problem you will solve the nonhomogeneous system 1 A. Write a fundamental matrix for the associated homogeneous system = B. Compute the inverse C. Multiply by g and integrate +ci dt +c2 (Do not include c and c2 in your answers). D. Give the solution to the system C1+ (Do not include ci and c2 in your answers). If you don't get this in 2 tries, you can get a hint. (1 point) In this problem...
(1 point) In this problem you will solve the nonhomogeneous system A. Write a fundamental matrix for the associated homogeneous system Y = 1 B. Compute the inverse Y-1 = 1 C. Multiply by g and integrate 1-' ġdt = (Do not include < and ca in your answers). D. Give the solution to the system y - [B = ][B + ] (Do not include ci and c2 in your answers).
(1 point) In this problem you will solve the nonhomogeneous system -2 5 -et j' 4 3et A. Write a fundamental matrix for the associated homogeneous system B. Compute the inverse C. Multiply by gand integrate T'g dt %3D +c2 (Do not include c, and c2 in your answers). D. Give the solution to the system (Do not include c, and c2 in your answers).
(1 point) In this problem you will solve the nonhomogeneous system 3-(: +3]3+ [3] 3 -2 9-3 A. Write a fundamental matrix for the associated homogeneous system Y = B. Compute the inverse Y-1 = C. Multiply by g and integrate +C) fyriğdt = - 1 +C2 (Do not include c and c2 in your answers). D. Give the solution to the system = C+ (Do not include c and ca in your answers). If you don't get this in...
In this problem you will use variation of parameters to solve the nonhomogeneous equation fy" + 4ty' + 2y = 1 + 12 A. Plug y = p into the associated homogeneous equation (with "0" instead of "13 + 12") to get an equation with only t and n. (Note: Do not cancel out the t, or webwork won't accept your answer!) B. Solve the equation above for n (uset # 0 to cancel out the t). You should get...
5. Repeat the same questions in 4.) for the ODE Py"- tt+2)y+(t+2)y2t3, (t>0) (a) Find the general solution of the homogeneous ODE y"- 5y +6y 0. Particularly find yi and (b) Find the equivalent nonhomogeneous system of first order with the chan of variable y (c) Show that (nvand 2( re solutions of the homogeneous system of ODEs (d) Find the variation of parameters equations that have to be satisfic 1 for y(t) vi(t)u(t) + (e) Find the variation of...
, i-N points ZiDiffEQModAp10 8.3 031 Recall from (14) in Section 8.3 that associated homogeneous system. Use the above to solve the given initial-value pro t) is a fundamental matrix of the AX + F(t), X(to)-Xo whenever φ( solves the initial value problem X'- 5 31x+ X(t)- Submit Answer Save Progress , i-N points ZiDiffEQModAp10 8.3 031 Recall from (14) in Section 8.3 that associated homogeneous system. Use the above to solve the given initial-value pro t) is a fundamental...
Given the following system of linear equations 1. 2xi + 4x2 + 8 x3 + x. +2x,3 a) Write the augmented matrix that represents the system b) Find a reduced row echelon form (RREF) matrix that is row equivalent to the augmented matrix c) Find the general solution of the system d) Write the homogeneous system of equations associated with the above (nonhomogeneous) system and find its general solution. Given the following system of linear equations 1. 2xi + 4x2...
5 1 Solve the following system of equations by using the inverse of the coefficient matrix. The inverse of the coefficient matrix is shown. 0 4 4 4 11 1 Niw w 2 2 1 А x - 2y + 3z = -1 3 13 1 -2 y - Z + W = -5 4 4 4 - 3x + 3y - 22 + 5 w = -2 3 5 1 - 1 2y - 32 + W = 3...
(1 point) Solve y" + 2y' + 2y = 4te* cos(t). 1) Solve the homogeneous part: y" + 2y' + 2y = 0 for Yh, using a real basis. Note the coded answer is ordered. If your basis is correct and your answer is not accepted, try again with the other ordering. Yn = C1 te^(-+)*cost +C2 te^(-t)*cost 2) Compute the particular solution y, via complexifying the differential equation: Note that the forcing et cos(t) = Re(el-1+i)t). You will solve...