and 2) Solve for the general solution of the order system dx 22 (6) Z 12t...
dy 7. Determine the general solution to : x = x+y dx 8. Solve the DE (x - y)dx +(y – x)dy dy 9. Determine the general solution to : x? + 3xy = dx dy 10. Determine the general solution to : xy = 4x² + y2 dx 1 X
Please solve using the general solution method. Do not use Z-Transforms. 3.34. Consider the second-order homogeneous difference equation with initial conditions yl-1] pi and yl-2 P2. The coefficients a and a2 of the difference equation and the initial values p? and p2 are all real-valued, and will be left as parameters. a. Let z1 and 22 be the roots of the characteristic polynomial. On paper, solve the homogeneous difference equation for the three possibilities for the roots: 1. The roots...
please provide explanantion Find the general solution of the given system. 2x – 7y dx dt dy dt dz dt 5x + 10y + 4z :5y + 22
a. Find the most general real-valued solution to the linear system of differential equations z' = -6 -4. 1 -6 2. xi(t) = C1 + C2 22(t) S b. In the phase plane, this system is best described as a source / unstable node sink / stable node saddle center point / ellipses spiral source spiral sink none of these
6) Solve the following System of FODEs with a repeated, real eigenvalue. Write the general solution. You may just solve the two systems: (A – r1$ = 0 and (A – rİ)n = $. x = (1 - 1)*
find a general solution z?y" + xy + (22 – 5) = 25/2 x > 0
(6) Determine the general solution x(a) to a dx 2do = a(1 - ax).
Find the general solution of the given system. = x + y - Z - z (x(t), y(t), z(t)) =
1 point) Solve the system 5 -1 dx lc dt 2 with x (0) = Give your solution in real form. An ellipse with clockwise orientation 1. Describe the trajectory. 1 point) Solve the system 5 -1 dx lc dt 2 with x (0) = Give your solution in real form. An ellipse with clockwise orientation 1. Describe the trajectory.
Question 1 : Solve the following system of equations: du at = 22 + +3y dy = 2x + y dt Question 2: State if the following system of equations have Unique solution, no solution or infinite solutions. Explain why? dx = x+2y at dy dt = x+2y