
solution. Remember that all problems in exams, including graphs, can be hand-calculated and the use of...
hand written solution only (not computerised) if not
possible then please refund the question becs i have already
recieved a computerised solution from you but i dont
understand.
3In modelling the velocity y of a chain slipping off a horizontal platform, the differential equation y, 10/y-y/x is derived. Suppose the initial condition is y( 1-1 (a) Euler's method for solving yf(x), y(xoyo, is given by yn+n+hf(an,yn), where h is a fixed stepsize, xn xo + nh, and yn y(xn). Apply...
Question 22 1 pts Problem 22: Numerical solution of Ordinary differential equations Consider the following initial value problem GE:+15y = 1.C:y(0) -0.5 Carry out two-steps of the modified Euler (trapezoidal) method solution from the initial condition with a time step of At = 0.1. and the predicted solutions is y(0.2)-0.20 None of the above. y(0.2) - -0.75 y(0.2)-1.27 y(0.2)=0.25
Question 21 1 pts Problem 21: Numerical solution of Ordinary differential equations Consider the following initial value problem G.EE +15y = 1.C:y(0) - 0.5 Carry out a single step of the modified Euler (trapezoidal) method solution from the initial condition with a time step of At = 0.2, and the predicted solutions is Y(0.2)-0.20 None of the above y(0.2)-1.27 Y(0.2)-0.25 (0.2)--0.75
Please help me do both problems if you can, this is due tonight
and this is my last question for this subscription period. (Thank
you)
Euler's method for a first order IVP y = f(x,y), y(x) = yo is the the following algorithm. From (20, yo) we define a sequence of approximations to the solution of the differential equation so that at the nth stage, we have In = {n-1 +h, Yn = Yn-1 +h. f(xn-1, Yn-1). In this exercise...
Question 20 1 pts Problem 20: Numerical solution of Ordinary differential equations Consider the following initial value problem GE: H+ 15y =t 1.C:y(0) = 0.5 Carry out two consecutive steps of the Euler solution from the initial condition with a time step of At = 0.2. and the predicted solutions are None of the above. y(0.2)--0.25 and y(0.4)-0.13 (0.2)-0.05 and y(0.4)-0.03 y(0.2) -- 1.00 and y(0.4)-2.04 y(0.2)-0.13 and y(0.4)-0.20
Use Improved Euler for first question, Runge- Katta for 2nd one.
Thank you
In each of Problems 7 through 12, find approximate values of the solution of the given initial value problem at t-0.5,1.0, 1.5, and 2.0 (a) Use the improved Euler method with h 0.025 (b) Use the improved Euler method with h-0.0125 In each of Problems 7 through 12, find approximate values of the solution of the given initial value problem at0.5,1.0, 1.5, and 2.0. Compare the results...
Solve using Matlab
Use the forward Euler method, Vi+,-Vi+(4+1-tinti ,Vi) for i= 0,1,2, , taking yo y(to) to be the initial condition, to approximate the solution at t-2 of the IVP y'=y-t2 + 1, 0-t-2, y(0) = 0.5. Use N = 2k, k = 1, 2, , 20 equispaced time steps (so to = 0 and tN-1 = 2). Make a convergence plot, computing the error by comparing with the exact solution, y: t1)2 -exp(t)/2, and plotting the error as...
I have all of the answers to this can someone just actually
explain this matlab code and the results to me so i can get a
better understanding?
b)
(c) and (d)
%% Matlab code %%
clc;
close all;
clear all;
format long;
f=@(t,y)y*(1-y);
y(1)=0.01;
%%%% Exact solution
[t1 y1]=ode45(f,[0 9],y(1));
figure;
plot(t1,y1,'*');
hold on
% Eular therom
M=[32 64 128];
T=9;
fprintf(' M Max error \n' );
for n=1:length(M)
k=T/M(n);
t=0:k:T;
for h=1:length(t)-1
y(h+1)=y(h)+k*f(t(h),y(h));
end
plot(t,y);
hold on
%%%...
Use the backward Euler method with h = 0.1 to find approximate values of the solution of the given initial value problem at t = 0.1, 0.2, 0.3 and 0.4. y' = 0.7 – + + 2y, y(O) = 2. Make all calculations as accurately as possible and round your final answers to two decimal places. In = nh n=1 0.1 n=2 0.2 n=3 0.3 n = 4 0.4
[7] 1. Consider the initial value problem (IVP) y′(t) = −y(t), y(0) = 1 The solution to this IVP is y(t) = e−t [1] i) Implement Euler’s method and generate an approximate solution of this IVP over the interval [0,2], using stepsize h = 0.1. (The Google sheet posted on LEARN is set up to carry out precisely this task.) Report the resulting approximation of the value y(2). [1] ii) Repeat part (ii), but use stepsize h = 0.05. Describe...