Question

In: Math

[system of linear Differential Equations] Use matrix methods to solve the follow initial -value problem,

[system of linear Differential Equations] Use matrix methods to solve the follow initial -value problem,

u (t) = 2u (t) + 2v (t) + 4

V (t) = u (t) + 3v (t) – 1

u (0) = 2

v (0) = -1

[ find, u (t) and v (t) ].

Solutions

Expert Solution


Related Solutions

Solve the initial value problem using systems of Linear Differential Equations. Please try to use computer...
Solve the initial value problem using systems of Linear Differential Equations. Please try to use computer typing x’ – 4y = 3 x + y’ = 2 IVP: x(0) = 0, y(0) = 1
Write the second order differential equation as a system of two linear differential equations then solve...
Write the second order differential equation as a system of two linear differential equations then solve it. y" + y' - 6y = e^-3t y(0) =0   y'(0)=0
Solve the linear system of equations Ax = b, and give the rank of the matrix...
Solve the linear system of equations Ax = b, and give the rank of the matrix A, where A = 1 1 1 -1 0 1 0 2 1 0 1 1 b = 1 2 3
solve this system of linear differential equations x'' - 5x' + 6x + y'' - 9y'...
solve this system of linear differential equations x'' - 5x' + 6x + y'' - 9y' + 20y = 0 x'' - 8x' + 12x + y'' - 13y' + 36y = 0
The following matrix is the augmented matrix for a system of linear equations. A = 1...
The following matrix is the augmented matrix for a system of linear equations. A = 1 1 0 1 1 0 0 1 3 3 0 0 0 1 1 2 2 0 5 5 (a) Write down the linear system of equations whose augmented matrix is A. (b) Find the reduced echelon form of A. (c) In the reduced echelon form of A, mark the pivot positions. (d) Does the system have no solutions, exactly one solution or infinitely...
Solve the given system of differential equations. ??/?? = ? + 4? ??/?? = ? +...
Solve the given system of differential equations. ??/?? = ? + 4? ??/?? = ? + y
Write the augmented matrix for the following system of linear equations. Solve the equation (x,y,z) by...
Write the augmented matrix for the following system of linear equations. Solve the equation (x,y,z) by row reduction. x+3y-2z=5 3x+5y+6z=7 2x+4y+3z=8
Use a software program or a graphing utility to solve the system of linear equations. (If...
Use a software program or a graphing utility to solve the system of linear equations. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, set x5 = t and solve for x1, x2, x3, and x4 in terms of t.) x1 − x2 + 2x3 + 2x4 + 6x5 = 16 3x1 − 2x2 + 4x3 + 4x4 + 12x5 = 33 x2 − x3 − x4 − 3x5 = −9 2x1...
Use a software program or a graphing utility to solve the system of linear equations. (If...
Use a software program or a graphing utility to solve the system of linear equations. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, set x5 = t and solve for x1, x2, x3, and x4 in terms of t.) x1 − x2 + 2x3 + 2x4 + 6x5 = 16 3x1 − 2x2 + 4x3 + 4x4 + 12x5 = 33 x2 − x3 − x4 − 3x5 = −9 2x1...
in parts a and b use gaussian elimination to solve the system of linear equations. show...
in parts a and b use gaussian elimination to solve the system of linear equations. show all algebraic steps. a. x1 + x2 + x3 = 2 x1 - x3 = -2 2x2 + x3 = -1 b. x1 + x2 + x3 = 3 3x1 + 4x2 + 2x3 = 4 4x1 + 5x2 + 3x3 = 7 2x1 + 3x2 + x3 = 1
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT