PLEASE TYPE ANSWER!!!
Show ALL work, show and label ALL METHODS and FORMULAS used.
Consider the DE: y'-10=3y-y2.
a) Find the critical Values of the DE
b) Create the phase diagram for the DE
PLEASE TYPE ANSWER!!! Show ALL work, show and label ALL METHODS and FORMULAS used. Consider the DE: y'-10=3y-y2. a) Find the critical Values of the DE b) Create the phase diagram for the DE
Consider the following differential equation date = y2(y2 – 4). (a) Find all critical values. (b) Draw the phase diagram to classify each as stable, semi-stable or unstable.
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Consider the following phase diagram to answer the questions. Be VERY complete in your answers, write neatly, and show all your work. Pressure Temperature a) Label on the plot the "triple point". What is special about this part of the curve (what is physically happening to the system at this point)? b) Label the areas on the plot that correspond to the liquid, vapor, and solid phases, and shade in the area that corresponds to...
please
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1. The plane 4x – 3y +8z = 5 intersects the cone z? = x² + y2 in an ellipse. Find the points on this ellipse the highest and the lowest points (i.e. largest and smallest values of z) on the ellipse.
Question 3 (20 points) Consider the following differential equation = y(y2 - 4). (a) Find all critical values. (6) Draw the phase diagram to classify each as stable, semi-stable or unstable.
Consider the system x'=xy+y2 and y'=x2 -3y-4. Find all four equilibrium points and linearize the system around each equilibrium point identifying it as a source, sink, saddle, spiral source or sink, center, or other. Find and sketch all nullclines and sketch the phase portrait. Show that the solution (x(t),y(t)) with initial conditions (x(0),y(0))=(-2.1,0) converges to an equilibrium point below the x axis and sketch the graphs of x(t) and y(t) on separate axes. Please write the answer on white paper...
please answer the following questions. Please show all work and
write your answers neatly and thoroughly please. Thank you.
2. Consider the one-parameter family of ordinary differential equations ay = y2 – 3y+a. Locate the bifurcation value of a and sketch the phase line for a value of a below, equal to, and above a
Question 5 "a" and "b": please show all work and formulas
used.
14. (a) Determine all possible critical point(s) of f(, y) = x2 + xy + y2 - 3.c - 6y. (b) without using the Second Order Partial Derivatives Test (SOPDT), de- termine the nature of the obtained C.P(s). (c) Check your answer in (b) through the (SOPDT). 15. Find a point on the hyperboloid 2z = x2 - y², where the tangent plane is parallel to the plane x - 3y - 2 = 1.
Consider the autonomous first-order differential equation y = 10 + 3y – v2 Find the DISTINCT critical points and classify each as (1) AS for Asymptotically Stable, (2) US for Unstable or (3) SS for Semi-Stable. Enter your answer as a comma separated list of pairs consisting on a critical point and its stability type (e.g. your answer might look like (2,AS), (-3,SS), (7,US)) Critical Point and Stability: For the initial value problem y' = 10 + 3y – y,...
please show work, im so lost on all of these
Given f(x, y) = 4x 5xys + 3y?, find f(x,y) = fy(x, y) = f(x, y) = 5x2 + 4y? $2(5, - 1) = Given f(x, y) = 4x2 + xy 4x² + xys – 67%, find the following numerical values: $:(3, 2) = fy(3, 2) = Given f(x, y) = 3x4 – 6xy2 – 2y3, find = fry(x, y) = Find the critical point of the function f(x, y)...