Question

Approximate the value of e by looking at the initial value problem y' = y with...

Approximate the value of e by looking at the initial value problem y' = y with y(0) = 1 and approximating y(1) using Euler’s method with a step size of 0:2.

Also, how do I know when you stop? Very confused on that.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
6. Consider the initial value problem y' = ty^2 + y, y(0) = 0.25, with (exact)...
6. Consider the initial value problem y' = ty^2 + y, y(0) = 0.25, with (exact) solution y(t). (a) Verify that the solution of the initial value problem is y(t) = 1/(3e^(-t) − t + 1) and evaluate y(1) to at least four decimal places. (b) Use Euler’s method to approximate y(1), using a step size of h = 0.5, and evaluate the difference between y(1) and the Euler’s method approximation. (c) Use MATLAB to implement Euler’s method with each...
Problem 6. Use Euler’s Method to approximate the particular solution of this initial value problem (IVP):...
Problem 6. Use Euler’s Method to approximate the particular solution of this initial value problem (IVP): dydx=√y+x satisfying the initial condition y(0)=1 on the interval [0,0.4] with h = 0.1. Round ?? to 4 decimal places.
For the initial value problem, Use Euler’s method with a step size of h=0.25 to find...
For the initial value problem, Use Euler’s method with a step size of h=0.25 to find approximate solution at x = 1
1. Consider the initial value problem dy/dx =3cos(x^2) with y(0)=2. (a) Use two steps of Euler’s...
1. Consider the initial value problem dy/dx =3cos(x^2) with y(0)=2. (a) Use two steps of Euler’s method with h=0.5 to approximate the value of y(0.5), y(1) to 4 decimal places. b) Use four steps of Euler’s method with h=0.25, to approximate the value of y(0.25),y(0.75),y(1), to 4 decimal places.    (c) What is the difference between the two results of Euler’s method, to two decimal places?   
Use Euler's method to approximate y(0.2), where y(x) is the solution of the initial-value problem y''...
Use Euler's method to approximate y(0.2), where y(x) is the solution of the initial-value problem y'' − 4y' + 4y = 0,  y(0) = −3,  y'(0) = 1. Use h = 0.1. Find the analytic solution of the problem, and compare the actual value of y(0.2) with y2. (Round your answers to four decimal places.) y(0.2) ≈     (Euler approximation) y(0.2) = -2.3869 (exact value) I'm looking for the Euler approximation number, thanks.
Use Euler's method to approximate y(0.7), where y(x) is the solution of the initial-value problem y''...
Use Euler's method to approximate y(0.7), where y(x) is the solution of the initial-value problem y'' − (2x + 1)y = 1, y(0) = 3, y'(0) = 1. First use one step with h = 0.7. (Round your answer to two decimal places.) y(0.7) = ? Then repeat the calculations using two steps with h = 0.35. (Round your answers to two decimal places.) y(0.35) = ? y(0.7) =?
Use​ Euler's method with step size h=0.2 to approximate the solution to the initial value problem...
Use​ Euler's method with step size h=0.2 to approximate the solution to the initial value problem at the points x=4.2 4.4 4.6 4.8 round to two decimal y'=3/x(y^2+y), y(4)=1
1. Use Euler’s method with step size ∆x = 1 to approximate y(4), where y(x) is...
1. Use Euler’s method with step size ∆x = 1 to approximate y(4), where y(x) is the solution of the initial value problem: y' = x2+ xy y(0) = 1 2. The coroner arrives at a murder scene at 9:00 pm. He immediately determines that the temperature of the body is 83◦F. He waits one hour and takes the temperature of the body again; it is 81◦F. The room temperature is 68◦F. When was the murder committed? Assume the man...
Let y(t) be the solution of the initial-value problem y'= sin(y)e^(y2+1); y(0) = 1 Calculate limt->INF...
Let y(t) be the solution of the initial-value problem y'= sin(y)e^(y2+1); y(0) = 1 Calculate limt->INF y(t). (Hint: do not attempt to solve the ODE). THE ANSWER IS PI. PLEASE EXPLAIN CAUSE IM CONFUSED!
Consider the following initial value problem: dy/dt = -3 - 2 * t2,       y(0) = 2...
Consider the following initial value problem: dy/dt = -3 - 2 * t2,       y(0) = 2 With the use of Euler's method, we would like to find an approximate solution with the step size h = 0.05 . What is the approximation of y (0.2)?  
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT