The system of first-order ordinary differential equations: dy(t)/dt = 1.2r(t) - 2(t) - y(t) + 0.2 dr(t)/dt = y(t) - r(t) + 0.2 describes a biological prey-predator model, where r(t) measures the size of the prey population and y(t) measures the size of the predator population. Solve the system by means of the classical fourth-order Runge-Kutta method on the interval 0 < t < 30 with a step size of Δt = 0.1. Compute solutions for the two different initial conditions y(0) = 1, r(0) = 0.75 and y(0)
The system of first-order ordinary differential equations: dy(t)/dt = 1.2r(t) - 2(t) - y(t) + 0.2 dr(t)/dt = y(t) - r(t) + 0.2 describes a biological prey-predator model, where r(t)
numerade.com6 个月之前
Solve First Order DE
y = 1/(x2 c) is a one-parameter family of solutions of thefirst-order DE y' 2xy2 = 0. Find a solution of the first-orderIVP consisting of this differential equation and the given initialcondition. y(8) = 1 2 y(x) =Incorrect: Your answer is incorrect.Give the largest interval I over which the solution is defined.(Enter your answer using interval notation.) Incorrect: Your answeris incorrect.
y = 1/(x2 c) is a one-parameter family of solutions of thefirst-order DE y' 2xy2 = 0. Find a solution of the first-orderIVP consisting of this differential equation and the given initialcondition. y(8) = 1 2 y(x) =Incorrect: Your answer is incorrect.Give the largest interval I over which the solution is defined.(Enter your answer using interval notation.) Incorrect: Your answeris incorrect.
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3 个月之前
y=1 /(x^2+c) is a one-parameter family of solutions of the first-order DE y^'+2 x y^2=0. Find a solution of the first-order IVP consisting of this differential equation and the given initial condition. Give the largest interval I over which the solution is defined. y((1)/(2))=-4 | Numerade
y=1 /(x^2+c) is a one-parameter family of solutions of the first-order DE y^'+2 x y^2=0. Find a solution of the first-order IVP consisting of this differential equation and the given initial condition. Give the largest interval I over which the solution is defined. y((1)/(2))=-4 | Numerade
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2 个月之前
Using the integrating factor.
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Using the integrating factor.
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