ANSWER:
Required information Consider the following pair of ODES. dt = -2y + 4et = lehen Given,...
Please solve this problem by hand calculation. Thanks
Consider the following system of two ODES: dx = x-yt dt dy = t+ y from t=0 to t = 1.2 with x(0) = 1, and y(0) = 1 dt (a) Solve with Euler's explicit method using h = 0.4 (b) Solve with the classical fourth-order Runge-Kutta method using h = 0.4. The a solution of the system is x = 4et- 12et- t2 - 3t - 3, y= 2et- t-1. In...
The step size is actually 0.075 not 0.25. Thanks!
Required information Solve a system of ODEs using Euler's method. Consider the following pair of ODEs over the interval from t= 0 to 0.4 using a step size of 0.25. The initial conditions are 10) = 2 and Z(O) = 4. dy dt = -2y + 4et dz yz? = 32 dt Use the Euler method and write a program to solve this. You do not need to submit the program....
Problem 2. Solve the following pair of ODEs over the interval from 0 to 0.4 using a step size of 0.1. The initial conditions are (0)-2 and (0) 4. Obtain your solution with (a) Euler's method and (b) the fourth-order RK method. Display your results as a plot. dy =-2y+Sze dt dz dt 2
I don't know what z means...
Required information Consider the following equation: dạy dt2 + Sy = 0 Given the initial conditions, 10) = 1 and y(0) = 0 and a step size = 0.1. Solve the given initial-value problem from t= 0 to 4 using the fourth-order Runge-Kutta method. (Round the final answers to four decimal places.) The solutions are as follows: t у z 0.1 1.5 2.5 4
Given (dy/dx)=(3x^3+6xy^2-x)/(2y) with y=0.707 at x= 0, h=0.1 obtain a solution by the fourth order Runge-Kutta method for a range x=0 to 0.5
Using the Runge-Kutta fourth-order method, obtain a solution to dx/dt=f(t,x,y)=xy^3+t^2; dy/dt=g(t,x,y)=ty+x^3 for t= 0 to t= 1 second. The initial conditions are given as x(0)=0, y(0) =1. Use a time increment of 0.2 seconds. Do hand calculations for t = 0.2 sec only.
Problem Thre: 125 points) Consider the following initial value problem: dy-2y+ t The y(0) -1 ea dt ical solution of the differential equation is: y(O)(2-2t+3e-2+1)y fr exoc the differential equation numerically over the interval 0 s i s 2.0 and a step size h At 0.5.A Apply the following Runge-Kutta methods for each of the step. (show your calculations) i. [0.0 0.5: Euler method ii. [0.5 1.0]: Heun method. ii. [1.0 1.5): Midpoint method. iv. [1.5 2.0): 4h RK method...
Problem 3. Given the initial conditions, y(0) from t- 0 to 4: and y (0 0, solve the following initial-value problem d2 dt Obtain your solution with (a) Euler's method and (b) the fourth-order RK method. In both cases, use a step size of 0.1. Plot both solutions on the same graph along with the exact solution y- cos(3t). Note: show the hand calculations for t-0.1 and 0.2, for remaining work use the MATLAB files provided in the lectures
Problem...
Required information Consider the following equation: dạy dt2 +9y=0 Given the initial conditions, 10) = 1 and y(0) = 0 and a step size = 0.1. Solve the given initial-value problem from t= 0 to 4 using Euler's method. (Round the final answers to four decimal places.) The solutions are as follows: t y z 0.1 1.2 2.3 4
help me with this. Im done with task 1 and on the way to do task
2. but I don't know how to do it. I attach 2 file function of rksys
and ode45 ( the first is rksys and second is ode 45) . thank for
your help
Consider the spring-mass damper that can be used to model many dynamic systems -- ----- ------- m Applying Newton's Second Law to a free-body diagram of the mass m yields the...