use the elimination method to find the general solution for the
given linear system where differentiation...
use the elimination method to find the general solution for the
given linear system where differentiation is with respect to t.
2x'+y'-x-2y=e^-t and x'+y'+2x+2y==e^t
Use the elimination method to find a general solution for the
given linear system, where differentiation is with respect to
t.
x'=9x-2y+sin(t)
y'=25x-y-cos(t)
Use the elimination method to find a general solution for the
given linear system, where differentiation is with respect to
t.
x'=5x-6y+sin(t)
y'=3x-y-cos(t)
Use the method of eigenvalues and eigenvectors to find the
general solution to the following system of differential
equations.
x′(t) = 2x(t) + 2y(t) − z(t)
y′(t) = 0 + 3y(t) + z(t)
z′(t) = 0 + 5y(t) − z(t)
Use the Gauss-Jordan elimination method to solve the following
system of linear equations. State clearly whether the system has a
unique solution, infinitely many solutions, or no solutions. { ? +
2? = 9
? + ? = 1
3? − 2? = 9
Use the method of Undetermined Coefficients to find a general
solution of this system X=(x,y)^T
Show the details of your work:
x' = 6 y + 9 t
y' = -6 x + 5
Note answer is: x=A cos 4t + B sin 4t +75/36; y=B cos
6t - A sin 6t -15/6 t
Use Cramer's Rule to find the solution of the system of linear
equations, if a unique solution exists.
–5x + 2y – 2z = 26
3x + 5y + z = –22
–3x – 5y – 2z = 21
Find the general solution of the linear system
x ̇1 = x1, x ̇2 = ax2
Where a is a constant. Draw the phase planes for a = −1, 0, 1. Comment on the changes of the phase plane
Use the graphical method for linear programming to find the
optimal solution for the following problem.
Maximize P = 4x + 5 y
subject to 2x + 4y ≤ 12
5x + 2y ≤ 10
and x ≥ 0, y ≥
0.
graph the feasible region