Let y(t)y(t) be a solution of y˙=1/4y(1−y4) such that y(0)=8.Determine limt→∞y(t) without finding y(t) explicitly.
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Let y(t)y(t) be a solution of y˙=1/4y(1−y4) such that
y(0)=8.Determine limt→∞y(t) without finding y(t) explicitly.
9.0...
Let y(t) be a solution of y˙=17y(1−y7) such that y(0)=14y(0)=14. Determine limt→∞y(t)limt→∞y(t) without finding y(t) explicitly.
Let y(t) be a solution of y˙=17y(1−y7) such that y(0)=14y(0)=14. Determine limt→∞y(t)limt→∞y(t) without finding y(t) explicitly.
Let y(t) be a solution of y˙=(1/5)y(1−y/5) such that y(0)=10 . Determine limt→∞y(t) without finding y(t)...
Let y(t) be a solution of y˙=(1/5)y(1−y/5) such that y(0)=10 . Determine limt→∞y(t) without finding y(t) explicitly. limt→∞y(t) =
(1 point) Let y(t) be a solution of ý = {y(1 – 3) such that y0)...
(1 point) Let y(t) be a solution of ý = {y(1 – 3) such that y0) = 10. Determine lim y(t) without finding y(t) explicitly. ta lim Vt) = 1. 100
Determine the equilibrium, classify each equilibrium, draw a phase line. If y(0)=1 then lim y(t) = ? If y(0)=2 then what is the solution y(t) =? 3/3-4y Let dt 3/3-4y Let dt
Determine the equilibrium, classify each equilibrium, draw a
phase line.
If y(0)=1 then lim y(t) = ?
If y(0)=2 then what is the solution y(t) =?
3/3-4y Let dt
3/3-4y Let dt
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.
Problem 1 Solve y + 4y 1, if 0<t<T, y(0) = 0, y'() = 0. if...
Problem 1 Solve y + 4y 1, if 0<t<T, y(0) = 0, y'() = 0. if <t<oo.'
Problem 2. S x' = 5x – 4y (8 points) Find the solution to the linear...
Problem 2. S x' = 5x – 4y (8 points) Find the solution to the linear system of differential equations I y' = 2x – y satisfying the initial conditions x(0) = 3 and y(0) = 2. e(t) = g(t) = Note: You can earn partial credit on this problem. preview answers
Question 5 8 pts Let y be the solution of the equation y'' – 4y +...
Question 5 8 pts Let y be the solution of the equation y'' – 4y + 3y = 0 satisfying the conditions y (0) = 1 andy (0) = 3. Let f (x) = e->y (x). Find the value of the function f at r = 1. 8 pts Question 6 Let y be the solution of the equation y' + 4y = 0 satisfying the conditions y (0) = 0 and y (0) = 2. Find the value of...
y" + 4y' + 164 = u2(t) – 44(t) with initial conditions y(0) = 1 and...
y" + 4y' + 164 = u2(t) – 44(t) with initial conditions y(0) = 1 and y'(0) = 0. (b) (8 points) Find lim y(t) t-
(1 point) Solve the differential equation -1, y (0)2 y-4y -5t263 (t) y(0) using Laplace transforms. for 0 t3 The soluti...
(1 point) Solve the differential equation -1, y (0)2 y-4y -5t263 (t) y(0) using Laplace transforms. for 0 t3 The solution is y(t and y(t) for t>
(1 point) Solve the differential equation -1, y (0)2 y-4y -5t263 (t) y(0) using Laplace transforms. for 0 t3 The solution is y(t and y(t) for t>
(1 point) Let y(t) be a solution of ý = {y(1 – 3) such that y0) = 10. Determine lim y(t) without finding y(t) explicitly. ta lim Vt) = 1. 100
Determine the equilibrium, classify each equilibrium, draw a
phase line.
If y(0)=1 then lim y(t) = ?
If y(0)=2 then what is the solution y(t) =?
3/3-4y Let dt
3/3-4y Let dt
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.
Problem 1 Solve y + 4y 1, if 0<t<T, y(0) = 0, y'() = 0. if <t<oo.'
Problem 2. S x' = 5x – 4y (8 points) Find the solution to the linear system of differential equations I y' = 2x – y satisfying the initial conditions x(0) = 3 and y(0) = 2. e(t) = g(t) = Note: You can earn partial credit on this problem. preview answers
Question 5 8 pts Let y be the solution of the equation y'' – 4y + 3y = 0 satisfying the conditions y (0) = 1 andy (0) = 3. Let f (x) = e->y (x). Find the value of the function f at r = 1. 8 pts Question 6 Let y be the solution of the equation y' + 4y = 0 satisfying the conditions y (0) = 0 and y (0) = 2. Find the value of...
y" + 4y' + 164 = u2(t) – 44(t) with initial conditions y(0) = 1 and y'(0) = 0. (b) (8 points) Find lim y(t) t-
(1 point) Solve the differential equation -1, y (0)2 y-4y -5t263 (t) y(0) using Laplace transforms. for 0 t3 The solution is y(t and y(t) for t>
(1 point) Solve the differential equation -1, y (0)2 y-4y -5t263 (t) y(0) using Laplace transforms. for 0 t3 The solution is y(t and y(t) for t>
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