use the direction field labeled III above to sketch the graphs of
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+0.5/1 points Previous AnswersSCalcCC4 7.2.001 2, 9x cos(Ty) is shown A direction field for the differential equation y y 2.0 1.5 1.0 0.5 0.4 -0.6 -0.4 -0.2 0.0 0.2 0.6 (a) Sketch the graphs of the solutions that satisfy the given initial conditions. (i) y(0) 0 (iii y(0) 1 (ii) y(0) 0.5 (iv) y(0) 1.6 V y 2:0 1.5 1.5 .5 X -0.6 O-0.6 -0.2 -0.4 0.6 -0.4 0.0 0.2 0.4 0.6 -0.2 0.0 0.2 0.4 2.0r 1.5 1.5 0.5...
2. (6 points) A direction field for a difrential equation is showa below. Sketch the grphs of the solutions that satisfy the following initial conditions: (a) y(-1-1) (b) y(4)=-2 (e) y(2)=0 111、 tITIIITI withII this, but it shouldn't look like Pollock. AIYITTIIIAII
2. (6 points) A direction field for a difrential equation is showa below. Sketch the grphs of the solutions that satisfy the following initial conditions: (a) y(-1-1) (b) y(4)=-2 (e) y(2)=0 111、 tITIIITI withII this, but it shouldn't...
7. Use the graphs of ſand g to sketch the parametric curve x = f(0, y = g(). Indicate the direction of motion and the initial and terminal points. 2f0 4
Reproduce the given computer-generated direction field. Then sketch an approximate solution curve that passes through each of the indicated points. dy-- dx (a) y(-2) = 1 (ь) у(3) - 0 (c) y(0) 2 (d) y(0) 0
Reproduce the given computer-generated direction field. Then sketch an approximate solution curve that passes through each of the indicated points. dy-- dx
(a) y(-2) = 1
(ь) у(3) - 0
(c) y(0) 2
(d) y(0) 0
The slope field for the equation
y'=-x+y is shown above
On a print out of this slope field, sketch the solutions that
pass through the points
(i) (0,0);
(ii) (-3,1); and
(iii) (-1,0).
From your sketch, what is the equation of the solution to the
differential equation that passes through (-1,0)? (Verify that your
solution is correct by substituting it into the differential
equation.)
Sketch a direction field for the differential equation. Then use it to sketch three solution curves. y' = 7 + 7y y / / / / / / / / / /3 / // // IX х 1/-0.2 // 0.2 10.4 -0,4 -0.2 20,4 / / / / 0.2 0.4 / 1 1 +3 1 +3 y y 13 1 11 1 1 2 / / / / / / / / / / // х -0.4 -0.2 0.2 0.4...
Lab 6 Direction Fields Math 1B II. Some of the qualitative information that you derived above can be found without plotting a direction field. Some information can be observed in the differential equation y'=f(x,y). 5) Consider the differential equation y' = f(x,y), where f(x,y) is continuous and f(x, 3) = -1 for all x. If y(0) <3, can y(x) → as x increases? Explain your answer. (Hint: it may help to sketch what little you can of the direction field.)...
Euler's Method reliminary Example. In the figure below, you are given the slope field for an initial value problen of the dy = F(z, v), y(0) = 0. Derive a tmethod for approximating the solution curve v(x) for this initial value problenm. 3.5 Euler's Method Formulas: Examples and Exercises 1. Consider the initial value problem 1.5 dr a To the right, you are given a slope field and a 0.8 ////////////w/./10.8 graph of the unknown solution to this problem, (x)....
Draw a direction field for the given differential equation. Based on the direction field, determine the behavior of y at t -> oo. If this behavior depends on the initial value of y at t 0, describe this dependency. (b) y'-2t-1-y.
(a) Label each of the polar equations with the corresponding graphs labeled I-III, or mark None' if the graph of the equation is not shown. Justify your answers. 1. r = 62, 0 <O< 167 2. r= 2+ sin(30) 3. r = 2 cos(0) 4. r= 1 + 2 cos(0) I II III pilot (b) Set up (but do not compute) the integral to determine the area of the shaded region bounded by the curve in polar coordinates. X r...