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Can you explain drawing a direction field for this please? Its
not supoosed to be solved...
3. Draw the direction field of the following differential equation: = (1-y)y dt What happens for the solution satisfying y(0)-2, 1, 0.5,-1 as t-> oo? If y(2)-β and limt→oo y(t) = 1. Find all possi...
3. Draw the direction field of the following differential equation: = (1-y)y dt What happens for the solution satisfying y(0)-2, 1, 0.5,-1 as t-> oo? If y(2)-β and limt→oo y(t) = 1. Find all possible values of β.
3. Draw the direction field of the following differential equation: = (1-y)y dt What happens for the solution satisfying y(0)-2, 1, 0.5,-1 as t-> oo? If y(2)-β and limt→oo y(t) = 1. Find all possible values of β.
6, (9 marks) For each of the following direction field plots, write down a function f(t....
6, (9 marks) For each of the following direction field plots, write down a function f(t. y) such that the differential equation dy = f(t, y) dt could have this direction field. equation could have the direction field shown. In each case, give reasons why you think your differential 3.5 1IITT1 1T1 111I 1 tIFI I 1 111 1111 111I1 11TTII rrrr 2.5 ttttt 1 ! 2 15 Y 0.5 -111 1 -0.5. 1 t -1 1 111-1 tT t...
problem 34 Equations with the Independent Variable Missing. If a second order differential equation has the...
problem 34
Equations with the Independent Variable Missing. If a second order differential equation has the form y"f(y, y), then the independent variable t does not appear explicitly, but only through the dependent variable y. If we let y', then we obtain dv/dt-f(y, v). Since the right side of this equation depends on y and v, rather than on and v, this equation is not of the form of the first order equations discussed in Chapter 2. However, if we...
please help on all! mostly on 32, how can i tell from the directional field? dN 18) Given the differential equati...
please help on all! mostly on 32, how can i tell from the
directional field?
dN 18) Given the differential equation dt and the initial condition No-5000 determine the limit. 4200 04N (1-N1) A) lim N(t) Does Not Exist Pihn 4200 4 00 B) lim N(t) t-n 04200 O lim N(t)-o t D) lim N(t)-4200 33) Sterile fruit flies are used in an experiment wshere the proportion that survive at least t days is given by e 0.25t The experiment...
Consider the differential equation y′ = 3y − 9. (a) (1 pt) Make a direction field...
Consider the differential equation y′ = 3y − 9. (a) (1 pt) Make a direction field plot for this function which includes the point (t, y) = (0, 2). (b) (2 pts) Solve the equation by dividing 3y − 9 and using the method outlined in Section 1.2. (c) (1 pt) Find the solution which corresponds to y(0) = 2. (d) (1 pt) Plot the solution corresponding to y(0) = 2 on your direction field plot.
1. Consider the differential equation" = y2 - 4y - 5. a) Find any equilibrium solution(s)....
1. Consider the differential equation" = y2 - 4y - 5. a) Find any equilibrium solution(s). b) Create an appropriate table of values and then sketch (using the grid provided) a direction field for this differential equation on OSIS 3. Be sure to label values on your axes. c) Using the direction field, describe in detail the behavior of y ast approaches infinity. 2. Short answer: State whether or not the differential equation is linear. If it is linear, state...
Draw a direction field for the given differential equation and state whether you think that the...
Draw a direction field for the given differential equation and state whether you think that the solutions for t >0 are converging or diverging. yy(3 ty) - Converge. Diverge Converge for y 20,diverge for y< 0 Converge for y<U, diverge for y 2 0
Draw a direction field for the given differential equation and state whether you think that the solutions for t >0 are converging or diverging. yy(3 ty) - Converge. Diverge Converge for y 20,diverge for y
Please explain step by step on how you get your answer b) 2 - th(y)+ Solve...
Please explain step by step on how you get your answer
b) 2 - th(y)+ Solve the following differential equations: dy 5 + 2x a) 1 - v3y dy c) ; y(2) = 0 dx y 21 dy 1 + y d) My(0) = -1 2 dt 1 + 2 y dx 1 + x dy dy y e) X + 2 y = x'; x > = x'; x > 0; y(1) = 0 f) X = x; x...
need help please 2) a) Solve the IVP using either variation of parameters or integration factor....
need help please
2) a) Solve the IVP using either variation of parameters or integration factor. Clearly indicate what the varying parameter is if you use variation of parameters or what the integration factor is if you use that method. Also, indicate the general solution to the homogeneous equation. dy 1 dt sin(t) – y, y(0) = 2 b) Draw the direction field and draw in the graph of the particular solution that you found.
Can you please help with this question? Please answer the question in MATLAB coding. Thank you in advance!! A storage tank (shown below) contains a liquid at depth y where y 0 when the tank is half f...
Can you please help with this question? Please answer the
question in MATLAB coding. Thank you in advance!!
A storage tank (shown below) contains a liquid at depth y where y 0 when the tank is half full. Liquid is withdrawn at a constant flow rate Q to meet demands. The contents are resupplied at a sinusoidal rate 3Qsin2(t) A. The change in volume can be written as d(y) 30 sin2(t) Q dt where A is the surface area and...
3. Draw the direction field of the following differential equation: = (1-y)y dt What happens for the solution satisfying y(0)-2, 1, 0.5,-1 as t-> oo? If y(2)-β and limt→oo y(t) = 1. Find all possible values of β.
3. Draw the direction field of the following differential equation: = (1-y)y dt What happens for the solution satisfying y(0)-2, 1, 0.5,-1 as t-> oo? If y(2)-β and limt→oo y(t) = 1. Find all possible values of β.
6, (9 marks) For each of the following direction field plots, write down a function f(t. y) such that the differential equation dy = f(t, y) dt could have this direction field. equation could have the direction field shown. In each case, give reasons why you think your differential 3.5 1IITT1 1T1 111I 1 tIFI I 1 111 1111 111I1 11TTII rrrr 2.5 ttttt 1 ! 2 15 Y 0.5 -111 1 -0.5. 1 t -1 1 111-1 tT t...
problem 34
Equations with the Independent Variable Missing. If a second order differential equation has the form y"f(y, y), then the independent variable t does not appear explicitly, but only through the dependent variable y. If we let y', then we obtain dv/dt-f(y, v). Since the right side of this equation depends on y and v, rather than on and v, this equation is not of the form of the first order equations discussed in Chapter 2. However, if we...
please help on all! mostly on 32, how can i tell from the
directional field?
dN 18) Given the differential equation dt and the initial condition No-5000 determine the limit. 4200 04N (1-N1) A) lim N(t) Does Not Exist Pihn 4200 4 00 B) lim N(t) t-n 04200 O lim N(t)-o t D) lim N(t)-4200 33) Sterile fruit flies are used in an experiment wshere the proportion that survive at least t days is given by e 0.25t The experiment...
1. Consider the differential equation" = y2 - 4y - 5. a) Find any equilibrium solution(s). b) Create an appropriate table of values and then sketch (using the grid provided) a direction field for this differential equation on OSIS 3. Be sure to label values on your axes. c) Using the direction field, describe in detail the behavior of y ast approaches infinity. 2. Short answer: State whether or not the differential equation is linear. If it is linear, state...
Draw a direction field for the given differential equation and state whether you think that the solutions for t >0 are converging or diverging. yy(3 ty) - Converge. Diverge Converge for y 20,diverge for y< 0 Converge for y<U, diverge for y 2 0
Draw a direction field for the given differential equation and state whether you think that the solutions for t >0 are converging or diverging. yy(3 ty) - Converge. Diverge Converge for y 20,diverge for y
Please explain step by step on how you get your answer
b) 2 - th(y)+ Solve the following differential equations: dy 5 + 2x a) 1 - v3y dy c) ; y(2) = 0 dx y 21 dy 1 + y d) My(0) = -1 2 dt 1 + 2 y dx 1 + x dy dy y e) X + 2 y = x'; x > = x'; x > 0; y(1) = 0 f) X = x; x...
need help please
2) a) Solve the IVP using either variation of parameters or integration factor. Clearly indicate what the varying parameter is if you use variation of parameters or what the integration factor is if you use that method. Also, indicate the general solution to the homogeneous equation. dy 1 dt sin(t) – y, y(0) = 2 b) Draw the direction field and draw in the graph of the particular solution that you found.
Can you please help with this question? Please answer the
question in MATLAB coding. Thank you in advance!!
A storage tank (shown below) contains a liquid at depth y where y 0 when the tank is half full. Liquid is withdrawn at a constant flow rate Q to meet demands. The contents are resupplied at a sinusoidal rate 3Qsin2(t) A. The change in volume can be written as d(y) 30 sin2(t) Q dt where A is the surface area and...
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