As it's not given in the question what to do.so I did what I found correct.i have sended you screenshot to show how the question is seen in my tab.so I just slolbe the question from my knowledge.dnt dislike it
Problem 3. Consider the following continuous differential equation dx dt = αx − 2xy dy dt = 3xy − y 3a (5 pts): Find the steady states of the system. 3b (15 pts): Linearize the model about each of the fixed points and determine the type of stability. 3b (15 pts): Draw the phase portrait for this system, including nullclines, flow trajectories, and all fixed points. Problem 2 (25 pts): Two-dimensional linear ODEs For the following linear systems, identify the...
(1 - -*)dx + (2xy + + + or? y? 2-)dy = 0 y J
Consider the equation 2xy (y dx + x dy) = (y dx - xdy) sin - Is the equation exact? If not, find an integrating factor, and solve the equation that is exact with the integrating factor
Evaluate the iterated integral. (x+y-2xy) dy dx
15. (2xy + y^2 ) dx + (2xy + x^2 − 2x 2y^2 − 2xy^3 ) dy = 0
2.
2. Is y²dx + (2xy + cosy) dy = 0 exact?
Solve the following partially decoupled system: dx/dt = -xy dy/dt = y-1
Solve the initial value problem (2x – y2)dx + (1 – 2xy)dy = 0, y(1) = 5
Please show steps.
Given 3 dy/dx + 2xy^2 = 5x^2 - x + 1, where y(0) = 5 and using a step size of dx = 1, the value of y(1) using Euler's method is most nearly 5.333 1.010 -0.499 17.822 Given 3 dy/dx + 2xy^2 = 5x^2 - x + 1, where y(0) = 5 and using a step size of dx = 1, the value of y(1) using Runge-Kutta 4^th order method is most nearly 5.333 1.010 -0.499...
[2xy cos (x+y) – sin x) dx + x2 cos (x+y) dy o