(1 point) In this problem you will solve the nonhomogeneous system A. Write a fundamental matrix...
(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 -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 integrate tci (Do not include c1 and c2 in your answers). D. Give the solution to the systenm C + (Do not include ci and c2 in your answers). (1 point) In this problem you will solve the nonhomogeneous system -3 5]- -5 3...
(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...
(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).
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...
8. Consider the nonhomogeneous linear system of differential equations 1 1 1 -1 u = -1 11 1 1 u-et 1 1 2 3 First of all, find a fundamental matrix and the inverse matrix of the fundamental matrix of the corresponding homogeneous linear system. Then given a particular solution 71 uy(t) = et 1 2 find the general solution of the nonhomogeneous linear system of differential equations. Hint: det(A - \I) = -(1 – 2)?(1+1)
use the method of separation of variables to solve the following nonhomogeneous initial-Neumann problem: Hint: write the candidate solution as are the eigenfunctionsof the eigenvalue problem associated with the homogeneous equation.
(1 point) a. Find a particular solution to the nonhomogeneous differential equation y" + 3y - 10y = ex. yp = help (formulas) b. Find the most general solution to the associated homogeneous differential equation. Use cy and c2 in your answer to denote arbitrary constants, and enter them as c1 and c2. Yh = help (formulas) c. Find the most general solution to the original nonhomogeneous differential equation. Use cy and C2 in your answer to denote arbitrary constants....
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...
a. Find a particular solution to the nonhomogeneous differential equation y" + 16y = cos(4x) + sin(4x). Yo = (xsin(4x))/8-(xcos(4x))/8 help (formulas) b. Find the most general solution to the associated homogeneous differential equation. Use ci and C2 in your answer to denote arbitrary constants. Enter c1 as c1 and C2 as c2. Un = c1cos(4x)+c2sin(4x) help (formulas) c. Find the solution to the original nonhomogeneous differential equation satisfying the initial conditions y(0) = 3 and y'(0) = 2. y...