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

Expert Solution


Related Solutions

Use Classic Runge-Kutta method with h = 1 to solve the system y” - y’ -...
Use Classic Runge-Kutta method with h = 1 to solve the system y” - y’ - 6y = 0, y(0) = 2, y’(0) = 3 on [0,1]
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 step size h = 0.1 and h = 0.2 respectively (keep 8 decimals): dy/dx = x + arctan y, y(0) = 0. Solutions: when h = 0.1, y(1) = 0.70398191. when h = 0.2, y(1) = 0.70394257.
Use the Runge-Kutta method and the Runge-Kutta semilinear method with the indicated step sizes to find...
Use the Runge-Kutta method and the Runge-Kutta semilinear method with the indicated step sizes to find approximate values of the solution of the given initial value problem at 11 equally spaced points (including the endpoints) in the interval. This question is from the differential equation. y'-4y = x/y^2(y+1) , y(0) = 1; h=0.1, 0.05 , 0.025, on [0, 1]
Prompt: Produce a 4th order Runge Kutta code in PYTHON that evaluates the following second order...
Prompt: Produce a 4th order Runge Kutta code in PYTHON that evaluates the following second order ode with the given initial conditions, (d^2y/dt^2) +4(dy/dt)+2y=0, y(0)=1 and y'(0)=3. After your code can evaluate the 2nd order ode, add a final command to plot your results. You may only use python.
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 approximate values of the solution of y' + (1/x)y = (7/x^2) + 3 , y(1) = 3/2 at x = 0.5 . And compare it to thee approximate value of y = (7lnx)/x + 3x/2
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 of y at each step to four decimal places. a) Provide the four K-values that are calculated at the first step, with four decimal places. b) Provide your answer for y(2.4) with four decimal places....
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 the competing species model [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 dx = xy 1+x2 with y(0) = 1, take h = 0.1
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT