Question: Consider the initial value problem given below. dx dt = 2 + tsin (tx), x(0) =0 Use the improved Euler's method with tolerance to approximate

Consider the initial value problem given below. dx dt = 2 + tsin (tx), x(0) =0 Use the improved Euler's method with tolerance to approximate the solution to this initial value problem at t= 0.8. For a tolerance of &= 0.011, use a stopping procedure based on absolute error. The approximate solution is x(0.8) ~. (Round to three decimal places as needed.)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Consider the initial value problem on the interval [0, 1]. y' = 4y - X (0) = -1 (0.1) = (a) Use Euler's method with step size h = 0.1 to approximate points along the solution curve of the initial...

Consider the initial value problem given below. dx @ =1+tsin(tx), x(0)=0 Use the improved Euler's method with tolerance to approximate the solution to this initial value problem at t =1.2. For a...

I Need help with answering these questions, could you please provide full working out solutions clearly hand written so that i can use it to help me with my next assignment. . 1. (2+7+3+2+2=16 marks)...

Consider the initial value problem given below. It): E=2+tsinib x[0]=l] Use the improved Euler's method with tolerance to approximate the solution to this initial value problem att= [1.3. For a...

Consider the Initial Value Problem du/dt = 50/u-50u, 0

HELPP HOMEWORK NOT for TUTOR: dont submit if you dont do full THEM OR BAD RATE And in full explanation show all explanation Use vector calculus to find the curl of the vector field F(x,y,z) = (x^2 +...

Prof. ll June 14, 2016 MAT224: Differential Equations Existence and Uniqueness of Solutions Consider the Initial Value Problem: y (x) = f (x, y) y(x0 ) = y0 . It would be good to know if a solution...

Should be done in Matlab please clear all defn = inline(-t*x,t,x); a=0; b=5; N=10; xa=1; h=(b-a)/N; t=a+h*(0:N); LT = length(t); x(1) = xa; for j=2:LT x(j) = x(j-1) + h*defn(t(j-1),x(j-1)); end...

May someone help? 8. (15%) (Numerical Method for ODEs) Consider the initial value problem, dx dt = f(t, a) = - sin?(t)ac3 (t), t20, x(0) =1. (5) (a) (4%) Write the formula for the Euler method? Do...

UNIVERISTY HELPP IN HERE NOT for TUTOR: dont submit if you dont do full THEM OR BAD RATE And in full explanation show all your work Solve the following system of nonlinear equations:x^2 + y^2 = 9 x^2...

Which statement concerning the allowance for doubtful debts account is not true? Group of answer choices 1. Allowance for doubtful debts represents cash set aside to cover losses incurred as a...

What are the major differences between classical, neoclassical, and contingency approaches to organizational design?

Write 2 paragraphs minimum on the budgeting practices and advice of the adult you interview. Please do not have to record anything they re not comfortable with you writing down.

A company is preparing completing their Cash Budget. The following data has been prepared for cash receipts and payments. January February March Cash receipts $1,061,200 $1,182,400 $1,091,700 Cash...