Question

In: Advanced Math

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

Solutions

Expert Solution

Colby Messinger answered 1 year ago
Next > < Previous

Related Solutions

y'(1+x^2)=(1/1-x)-3xy find the general solution.
y'(1+x^2)=(1/1-x)-3xy find the general solution.
find the general solution of the following as follows Xn+2 = -2Xn+1 + 3Xn, x0=1 x1=2...
find the general solution of the following as follows Xn+2 = -2Xn+1 + 3Xn, x0=1 x1=2 a) find the 2x2 matrix that satisfies Yn+1=AYn b) Find the characteristic value of A and its corresponding characteristic vector c) express X0 = (1 2)as a linear combination of characteristic vector d) find Yn e) find Xn
(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
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 to the coupled system dx1 /dt = 2x1 +x2 dx2/dt = x1...
Find the general solution to the coupled system dx1 /dt = 2x1 +x2 dx2/dt = x1 + 2x2 Sketch the phase portrait for the system and classify the origin as a node, a saddle, a center, or a spiral. Is the origin unstable, asymptotically stable, or stable? Explain and show as much work as needed
For the linear system x1+3x2=2 3x1+hx2=k Find values for h and k such that the system...
For the linear system x1+3x2=2 3x1+hx2=k Find values for h and k such that the system has: a) no solution b) a unique solution c) infinitely many solutions
1. Solve linear system using Gaussian elimination a) x1 + 2x2 + x3 = 2 -x1...
1. Solve linear system using Gaussian elimination a) x1 + 2x2 + x3 = 2 -x1 − 3x2 + 2x3 = -3   x1 − 6x2 + 3x3 = -6 b) -2b + 2c = 10 3a + 12b -3c = -6 6a + 18b + 0c = 19 c) 4x - 1y + 4z + 3t = 5 1x - 4z + 6t = 7 5x - 5y + 1z + 2t = -5 4x + 1y + 3z +...
. Find the general solution to the ODE: x^2 y" + 5xy' + 3y = x^2
. Find the general solution to the ODE: x^2 y" + 5xy' + 3y = x^2
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT