4. Solve the given system of equations. (10 points each) dx dy 6- + dt +...
Question 3 Consider the following linear system of differential equations dx: = 2x-3y dt dy dt (a) Write this system of differential equations in matrix form (b) Find the general solution of the system (c) Solve the initial value problem given (0) 3 and y(0)-4 (d) Verify the calculations with MATLAB Question 3 Consider the following linear system of differential equations dx: = 2x-3y dt dy dt (a) Write this system of differential equations in matrix form (b) Find the...
Solve the given system of differential equations by systematic elimination. 2 dx/dt − 4x + dy dt = et dx/dt − x + dy dt = 3et
Solve the given system of differential equations by systematic elimination dx 20y dt dy = X + Z dt dz = X + y dt (x(t), y(t), z(t))
Solve the given system of differential equations by systematic elimination. = -x + 2 dx dt dy = -y + z dt dz = -x + y dt
use the Laplace transform to solve the given system of differential equations dx dt dx dt dt dt x(0) 0, y(o)0 x(t) =
Solve the given system of differential equations by systematic elimination. dx dt = 2x − y dy dt = x (x(t), y(t)) =
Solve the system of differential equations using Laplace transformation dx dy dt - x = 0, + y = 1, x(0) = -1, y(0) = 1. dt You may use the attached Laplace Table (Click on here to open the table) Paragraph В І
Solve the given initial value problem. x(0) = 1 dx = 4x +y- e 3t, dt dy = 2x + 3y; dt y(0) = -3 The solution is X(t) = and y(t) =
Solve the system of differential equations dx/dt = x-y, dy/dt = 2x+y subject to the initial conditions x(0)= 0 and y(0) = 1.
In Problems 3-6, find the critical point set for the given system. dx 4. dx = x-y, 3. dt y1 dt dy dy = x2 y2 - 1 dt = x + y + 5 dt dx dx x2- 2xy y2- 3y 2 6. 5. dt dt dy dy 3xy - y2 (x- 1)(y 2) dt dt