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please answer fast For the differential equation = (y + 1)(3-y), (a)Find the steady stat solutions and inflation points of your solution curve y(t) (b)Draw the graph of glu) vs. y, where g(u)Your...
6. Consider the autonomous differential equation (a) Find all of its equilibrium solutions. (b) Classify the stability of each equilibrium solution. Justify your answer. (c) If y(t) is a solution tha...
6. Consider the autonomous differential equation (a) Find all of its equilibrium solutions. (b) Classify the stability of each equilibrium solution. Justify your answer. (c) If y(t) is a solution that satisfies y(-1) =-4, what is y(0)? Without solving the equation, briefly explain your conclusion. (d) If y() is a solution that satisis y(3) -3, then what is lim y(t)?
6. Consider the autonomous differential equation
(a) Find all of its equilibrium solutions. (b) Classify the stability of each equilibrium...
(17 points) (a) Find the general solution of the differential equation y" (t) + 4y(t) =...
(17 points) (a) Find the general solution of the differential equation y" (t) + 4y(t) = 0. general solution = (Use the letters A and B for any constants you have in your solution.) (b) For each of the following initial conditions, find a particular solution. (i) y(0) = 0, y'(0) = 1: y = (ii) y(0) = 1, y'(0) = 0:y= (iii) y(0) = 1, y(1) = 0:y= (iv) y(0) = 0, y(1) = 1: y = (On a...
(17 points) (a) Find the general solution of the differential equation y" (t) + 36y(t) =...
(17 points) (a) Find the general solution of the differential equation y" (t) + 36y(t) = 0. general solution = (Use the letters A and B for any constants you have in your solution.) (b) For each of the following initial conditions, find a particular solution. (1) y(0) = 0,7(0) = 1: y= (ii) y(0) = 1, y'(0) = 0: y= (ii) y(0) = 1, y(1) = 0:y= (iv) y(0) = 0, y(1) = 1:y= 1 (On a sheet of...
6. Consider the autonomous differential equation (a) Find all of its equilibrium solutions. (b) Classify the stability of each equilibrium solution. Justify your answer. (c) If y(t) is a solution that satisfies y(-1) =-4, what is y(0)? Without solving the equation, briefly explain your conclusion. (d) If y() is a solution that satisis y(3) -3, then what is lim y(t)?
6. Consider the autonomous differential equation
(a) Find all of its equilibrium solutions. (b) Classify the stability of each equilibrium...
(17 points) (a) Find the general solution of the differential equation y" (t) + 4y(t) = 0. general solution = (Use the letters A and B for any constants you have in your solution.) (b) For each of the following initial conditions, find a particular solution. (i) y(0) = 0, y'(0) = 1: y = (ii) y(0) = 1, y'(0) = 0:y= (iii) y(0) = 1, y(1) = 0:y= (iv) y(0) = 0, y(1) = 1: y = (On a...
(17 points) (a) Find the general solution of the differential equation y" (t) + 36y(t) = 0. general solution = (Use the letters A and B for any constants you have in your solution.) (b) For each of the following initial conditions, find a particular solution. (1) y(0) = 0,7(0) = 1: y= (ii) y(0) = 1, y'(0) = 0: y= (ii) y(0) = 1, y(1) = 0:y= (iv) y(0) = 0, y(1) = 1:y= 1 (On a sheet of...
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