given the logistics equation y'=9(1-y)y on the interval [0,5], w/ initial condition y(0)=1.25 1. what are...

given the logistics equation y'=9(1-y)y
on the interval [0,5], w/ initial condition y(0)=1.25
1. what are the equilibrium Solutions? What is the long-term behavior of the solution?
2. solve the ode exactly and plot the solution on [0,5].

given the ivp y'=-y^2 on the interval [0,2] with initial condition y(0)=-1/2
1. solve the ode. what is the behavior of the true solution as x approaches 2?

Expert Solution

we have integranty bom sieled - 1/2 = ntc 8 ] ts) 2 - - = - 10) + C u a how c=2 hele = 2 h = n. 2 F = I is resuired na Solurian to she from that Solnion . y - this - & to is curry ab n s easy g graphi Cally it can be shown as: - - 2 + -

Colby Messinger answered 2 years ago

Solve the equation y'=5-8y with initial condition y'(0)=0

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given the logistics equation y'=9(1-y)y on the interval [0,5], w/ initial condition y(0)=1.25 1. what are...

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