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In: Advanced Math

If a population with harvesting rate h is modeled by dx/dt = 9-x^2-h. Find the bifurcation...

If a population with harvesting rate h is modeled by dx/dt = 9-x^2-h. Find the bifurcation point for the equation.

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Sec 2.2:  Analyze the DE dx/dt = x(2-x) - h, where h is the rate of harvesting....
Sec 2.2:  Analyze the DE dx/dt = x(2-x) - h, where h is the rate of harvesting.   For each h>0, what are the critical points of the DE?   Which of them are stable?   What is the bifurcation point?   Draw a bifurcation diagram indicating which equilibrium points are stable and which are unstable.  (Use a phase line diagram to aid in your analysis.)
dx dt =ax+by dy dt =−x − y, 2. As the values of a and b...
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Section 5.3: Find the equilibrium values of a general quadratic population model: dx/dt=a1x+b1x^2+c1xy dy/dt=a2y+b2y^2+c2xy Don’t forget...
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Find the general solution of the given system. dx dt = 6x + y dy dt...
Find the general solution of the given system. dx dt = 6x + y dy dt = −2x + 4y [x(t), y(t)]= _____________, _______________ (6c1​+8c2​)10​sin(6t)+(6c2​+8c1​)10​cos(6t), c1​cos(6t)+c2​sin(6t) ^above is the answer I got, which is incorrect.   
1. Consider the following second-order differential equation. d^2x/dt^2 + 3 dx/dt + 2x − x^2 =...
1. Consider the following second-order differential equation. d^2x/dt^2 + 3 dx/dt + 2x − x^2 = 0 (a) Convert the equation into a first-order system in terms of x and v, where v = dx/dt. (b) Find all of the equilibrium points of the first-order system. (c) Make an accurate sketch of the direction field of the first-order system. (d) Make an accurate sketch of the phase portrait of the first-order system. (e) Briefly describe the behavior of the first-order...
Use a LaPlace transform to solve d^2x/dt^2+dx/dt+dy/dt=0 d^2y/dt^2+dy/dt-4dy/dt=0 x(0)=1,x'(0)=0 y(0)=-1,y'(0)=5
Use a LaPlace transform to solve d^2x/dt^2+dx/dt+dy/dt=0 d^2y/dt^2+dy/dt-4dy/dt=0 x(0)=1,x'(0)=0 y(0)=-1,y'(0)=5
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Find the general solution of the given system. dx/dt=6x-y dy/dt=5x+4y
Find the general solution of the given system. dx/dt=6x-y dy/dt=5x+4y
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