ConsiderX₁ = x ₂-1X₂ = X₁²X₁ - X₂+1the following system.a) Find the edulbriumb) Plot Phase Portrail of the system based onLinearization

Answered: Image /qna-images/answer/b467042a-1124-4593-9b15-f413f3d3000f.jpg

Answered: Consider the following system. =x2-1 x₂…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

See similar textbooks

Similar questions

Two connected tanks, each with a capacity of 50 liters, contain brine (saltwater). Initially, the first tank contains 18 liters of brine with a salt concentration of 3 grams per liter and the second contains 17 liters of brine with a salt concentration of 2 grams per liter. At t = 0 brine with a salt concentration of 6 grams per liter flows into the first tank at 8 liters per hour. Well-stirred brine flows from the first tank into the second at 7 liters per hour, from the second into the first at 5 liters per hour, from the first into a drain at 4 liters per hour, and from the second into a drain at 3 liters per hour. (a) Determine the volume (liters) of brine in each tank as a function of time.(b) Give an initial-value problem that governs the amount (grams) of salt in eachtank as a function of time.(c) Give the interval of definition for the solution of this initial-value problem.
Give an equation for a cosine function that has a maximum at (7.8), followed immediately by another maximum at (2,3). and has a minimum value of 4. a) y = 2 cos(x-7)+6 b) y = 8 cos(x - 1) 4 C) y = 2 cos(x+²)+6 ○d) y=Bcose(x + ²) I 8 4
IT Find the orthogonal trajectories to the given curve -3x Y= 3x-1 + Ce C
2) Solve the following first-order linear equations (assuming that y is the dependent variable and is the independent variable). a) +5xy=e-2² b) dy = dx(sin(x) - y) c) = e² - ²/ d) = -cot(x)y + sin(x)
which is the solution of the equation in IMAGE
Tank A initially contains 500 Litres of a brine solution with a concentration of 0.5 kg perlitre and tank B contains 500 Litres of water. Solution is pumped from tank A to tank B ata rate of 4 Litres /min and from tank B to tank A at a rate of 8 Litres /min. The tanks are keptwell stirred. Let the number of kilograms of salt in tank A be A1 after t minutes and B1in tank B.(a) Write down equations showing, respectively, the concentrations C1 and C2 inthe tanks after t minutes.(b) Write down two differential equations to show how A1 and B1 vary with time.(c) What is the relation between A1 and B1?(d) Eliminate B1 between the two equations in (b) and solve the resulting equationfor A1.(e) What is the concentration in tank A after 10 minutes?
the answer for a should be cx^2+2 please give as much info as possible to the answer
the relationship between aphids, A, ( prey) and ladybugs, L, (preditor) can be described as follows: dA/dt=2A=0.01AL dL/dt=-0.5L+0.0001AL a) find the two critical points of the predator-prey equations b) use the chain rule to write dL.dA in terms of L and A c) suppose that at time t=0, there are 1000 aphids and 200 ladybugs, use the Bluffton university slope field generator to graph the slope for the system and the solution curve. let 0 be less than or equal to A who is less than or equal to 15000 and 0 is less than or equal to L which is less than or equal to 400.
Explain in detail please
Write a matlab program plotting a graph with the two equations below: a(y) = (y + pi)sin(y^2 + 0.5) z(y) = (sin(2piy)cos(2piy)/exp(y - 1)) - (5/2)
While shopping for an air conditione, a buyer bonsulted the following table giving a machine's BTUS and the square footage ( that it would cool t' (x) BTUS (y) 5100 5400 6350 6700 7275 7825 8300 8550 9750 9900 150 175 230 250 285315 350 360 435 | 450 (a) Find a linear model for the data. (b) Use the results from part (a) to find the number of BTUS required to cool rooms of 360 ft, 435 r, and 450 (c) Suppose a room measures 215 Use the results from part (a) to decide how many BTUS it requires if the air conditioners are available only with the BTU cholces in the table, which is the best choice? (a) Find a linear model for the data Find the least-aquares regression ine Once you have found the line in ynix+b form, input the values of m and b into the appropriate boxes below A linear model for the data is y (Round to the nearest whole number as needed) %3D

Recommended textbooks for you

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

Elementary Geometry for College Students

Geometry

ISBN:

9781285195698

Author:

Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:

Cengage Learning

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

Elementary Geometry for College Students

Geometry

ISBN:

9781285195698

Author:

Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

Consider the following system. =x2-1 x₂ = x₁²x₁-₂ tl X a) Find the equlbrrum b) Plot Phase Portrail of the system bas- Linearization