Question
In: Math
Apply the eigenvalue method to find a general solution of thegiven system. x'1 = 5x1 -9x2,...
Apply the eigenvalue method to find a general solution of thegiven system.
x'1 = 5x1 -9x2, x'2 =2x1 - x2
Solutions
milcah answered 2 years agoRelated Solutions
Use the method of Undetermined Coefficients to find a general solution of this system X=(x,y)^T Show...
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
Find the general solution of the linear system x ̇1 = x1, x ̇2 = ax2...
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 method of eigenvalues and eigenvectors to find the general solution to the following system...
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)
(A) Find the general solution for the displacement x = x(t) of the forced mechanical system...
(A) Find the general solution for the displacement x = x(t) of
the forced mechanical system x´´ + 6x´ + 8x = 35 sin t. (B)
Identify the steady-periodic part
y'(1+x^2)=(1/1-x)-3xy find the general solution.
y'(1+x^2)=(1/1-x)-3xy find the general solution.
Transform the given system into a single equation of second-order: x′1 =−4x1+9x2 x′2 =−9x1−4x2. Then find...
Transform the given system into a single equation of
second-order:
x′1 =−4x1+9x2
x′2 =−9x1−4x2.
Then find x1 and x2 that also satisfy the initial
conditions:
x1(0) =8
x2(0) =5.
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...
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...
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)
Find the general solution: dx/dt + x/(1+2t) = 5
Find the general solution:
dx/dt + x/(1+2t) = 5
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