# Dr Consider the system: = 4x – 2y dy = x + y dt (a) Determine...

###### Question: dr Consider the system: = 4x – 2y dy = x + y dt (a) Determine the type of the equilibrium point at the origin. (35 points) (b) Find all straight-line solutions and draw the phase portrait for the system. (35 points) (c) What is the general solution to the system? (15 points) (d) Find the solution of the system with initial conditions: x(0) = 1 and y(0) = -1. (15 points)

#### Similar Solved Questions

##### (1 point) Consider a function f(x) that has a Taylor Series centred at x = -3...
(1 point) Consider a function f(x) that has a Taylor Series centred at x = -3 given by an(x + 3)" n=0 If the radius of convergence for this Taylor series is R = 4, then what can we say about the radius of convergence of the Power Series Š an -(x + 3)" ? no n=0 A. R= 2 4 OB.R = 6 OC. R...
##### Assume there are 12 homes in the Quail Creek area and 7 of them have a...
Assume there are 12 homes in the Quail Creek area and 7 of them have a security system. Three homes are selected at random: a. What is the probability all three of the selected homes have a security system? (Round your answer to 4 decimal places.) Probability b. What is the probability none of the t...
##### Write a Recommendation Report the example is given example is only of the first part Need...
write a Recommendation Report the example is given example is only of the first part Need a letter similar to that but different topic. Date: 09/04/2020 To: Director Recycling Program Office From: Business senator Subject: Recycling program It is critical that the subsequent are hints on the recycli...
##### The bus arrives every 15 minutes starting at 8:00am and leaves immediately. You arrive at the...
The bus arrives every 15 minutes starting at 8:00am and leaves immediately. You arrive at the bus stop with a uniform distribution between 8:05am and 8:30am and can be described as . Given that the bus arrival time and the time that you arrive at the bus stop are independent, what is the PDF of your...
##### Just want to know if this is right or wrong. Write the expression in rectangular form,...
Just want to know if this is right or wrong. Write the expression in rectangular form, x+yi, and in exponential form, rele (1 - 1) 9. The rectangular form of the given expression is 16 - 16 i, and the exponential form of the given expression is 1672 e (Simplify your answers. Type exact answers, usi...
##### Coefficient of static friction
A 100 kg box is placed on a ramp. As one end of the ramp is raised, the box begins to move downward just as the angle of inclination reaches 15 degrees. What is thecoefficient of static friction between box and ramp?...
##### USE MATLAB TO SOLVE 1. Snap a close-up color picture of a person with your phone...
USE MATLAB TO SOLVE 1. Snap a close-up color picture of a person with your phone or download a picture of your preference in JPG format, transfer/save it to a preferred location on your computer and import the picture into MATLAB. 2. Display the Red, Green and Blue components of the imported picture...
##### WHETHER RECORDING DATA OR SHOWING CALCULATIONS, REMEMBER TO INCLUDE MEASUREMENT UNITS WITH EACH NUMERICAL VALUE. Volume...
WHETHER RECORDING DATA OR SHOWING CALCULATIONS, REMEMBER TO INCLUDE MEASUREMENT UNITS WITH EACH NUMERICAL VALUE. Volume of copper chloride solution in your sample final buret reading (read to 0.01-mL place) 30.5 ml 5.25 ml initial buret reading volume of copper chloride solution delivered Mass of co...