Question
In: Advanced Math
use Runge Kutta 4th order method y'=y-1.3333*exp(0.6x) a) h=2.5 and compare the value to the exact...
use Runge Kutta 4th order method
y'=y-1.3333*exp(0.6x)
a) h=2.5 and compare the value to the exact value
b) h=1.25 and compare the value to the exact value
Thks!
Solutions
Colby Messinger answered 2 years agoRelated Solutions
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Using Runge-Kutta method of order 4 to approximate y(1) with step size h = 0.1 and...
Using Runge-Kutta method of order 4 to approximate y(1) with
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dy/dx = x + arctan y, y(0) = 0.
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0.70394257.
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Use the Runge-Kutta method and the Runge-Kutta semilinear method
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Prompt: Produce a 4th order Runge Kutta code in
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Use the Runge-Kutta method with step sizes h = 0.1, to find approximate values of the...
Use the Runge-Kutta method with step sizes h = 0.1, to find
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y' + (1/x)y = (7/x^2) + 3 , y(1) = 3/2 at x = 0.5 .
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Problem Four (12 Marks) Use Runge Kutta method of order four to approximate the solution of...
Problem Four
Use Runge Kutta method of order four to approximate the solution
of the initial value problem
?′ + 2? = ??3?, 0 ≤ ? ≤ 1, ?(0) = 0, ???ℎ ℎ = 0.5
Hint: Compute ?(0.5) ??? ?(1)
Use 3 steps of the Runge-Kutta (fourth order) method to solve the following differential equation to...
Use 3 steps of the Runge-Kutta (fourth order) method to solve
the following differential equation to t = 2.4, given that y(0) =
2.3. In your working section, you must provide full working for the
first step. To make calculations easier, round the tabulated value
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a) Provide the four K-values that are calculated at the first step,
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Q 4. With the aid of fourth order Runge-Kutta method, solve the competing species model [20...
Q 4. With the aid of fourth order Runge-Kutta method, solve
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[20 points]
defined by
dx =x(2 − 0.4x − 0.3y), x(0) = 4 dt
dy =y(1 − 0.1y − 0.3x), y(0) = 3 dt
where the populations x(t) and y(t) are measured in thousands
and t in years. Use a step size of 0.2 for 0 ≤ t ≤ 2 and plot the
trajectories of the populations with Matlab or GNU Octave.
With the aid of fourth order Runge-Kutta method, solve the competing species model defined by dx/dt...
With the aid of fourth order Runge-Kutta method, solve the
competing species model defined by
dx/dt =x(2 − 0.4x − 0.3y), x(0) = 2
dy/dt =y(1 − 0.1y − 0.3x), y(0) = 4
where the populations x(t) and y(t) are measured in thousands
and t in years. Use a step size of 0.2 for 0 ≤ t ≤ 2 and plot the
trajectories of the populations with Matlab or GNU Octave.
Using Runge-Kutta method, compute y(0.3), from the equation dy dx = xy 1+x2 with y(0) =...
Using Runge-Kutta method, compute y(0.3), from the equation dy
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