Question

Find relative error using Euler's method 1) x' = x+t2 where x0 = 1 x(1) =...

Find relative error using Euler's method

1) x' = x+t2

where x0 = 1

x(1) = ?

N = 5

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
a)Program a calculator or computer to use Euler's method to compute y(1), where y(x) is the...
a)Program a calculator or computer to use Euler's method to compute y(1), where y(x) is the solution of the given initial-value problem. (Give all answers to four decimal places.) dy dx + 3x2y = 9x2, y(0) = 4 h = 1     y(1) = h = 0.1     y(1) = h = 0.01     y(1) = h = 0.001     y(1) = (b) Verify that y = 3 + e−x3 is the exact solution of the differential equation. y = 3 + e−x3      ⇒     y'...
Using euler's forward method solve this integration: dx/dt = -10 * x(t) + 5 x(0) =...
Using euler's forward method solve this integration: dx/dt = -10 * x(t) + 5 x(0) = 4 The time step is 0.01, and the time interval is from 0 to 20. Please show all steps and calculations, because this is just an example problem to help me get a better understanding of euler's method.
Let f(x)=sin(x)+x^3-2. Use the secant method to find a root of f(x) using initial guesses x0=1...
Let f(x)=sin(x)+x^3-2. Use the secant method to find a root of f(x) using initial guesses x0=1 and x1=4. Continue until two consecutive x values agree in the first 2 decimal places.
(a) Use Euler's method with each of the following step sizes to estimate the value of...
(a) Use Euler's method with each of the following step sizes to estimate the value of y(0.4), where y is the solution of the initial-value problem y' = y, y(0) = 9. (i)    h = 0.4 y(0.4) =   (ii)    h = 0.2 y(0.4) =   (iii)    h = 0.1 y(0.4) =   (c) The error in Euler's method is the difference between the exact value and the approximate value. Find the errors made in part (a) in using Euler's method to estimate the true value...
Use Euler's method with step size 0.1 to estimate y(0.5), where y(x) is the solution of...
Use Euler's method with step size 0.1 to estimate y(0.5), where y(x) is the solution of the initial-value problem y'=3x+y^2,   y(0)=−1 y(0.5)=
Use Euler's method to approximate y(1.2), where y(x) is the solution of the initial-value problem x2y''...
Use Euler's method to approximate y(1.2), where y(x) is the solution of the initial-value problem x2y'' − 2xy' + 2y = 0,  y(1) = 9,  y'(1) = 9, where x > 0. Use h = 0.1. Find the analytic solution of the problem, and compare the actual value of y(1.2) with y2. (Round your answers to four decimal places.) y(1.2) ≈     (Euler approximation) y(1.2) =     (exact value)
The second-order Taylor polynomial fort he functions f(x)=√1+x about X0= is P2=1+(x/2)-(x^2/2) using the given Taylor...
The second-order Taylor polynomial fort he functions f(x)=√1+x about X0= is P2=1+(x/2)-(x^2/2) using the given Taylor polynomial approximate f(0.05) with 2 digits rounding and the find the relative error of the obtained value (Note f(0.05=1.0247). write down the answer and all the calculations steps in the text filed.
The second-order Taylor polynomial fort he functions f(x)=xlnx about X0= 1 is P2= -1+(x-1)^2/2 using the...
The second-order Taylor polynomial fort he functions f(x)=xlnx about X0= 1 is P2= -1+(x-1)^2/2 using the given Taylor polynomial approximate f(1.05) with 2 digits rounding and the find the relative error of the obtained value (Note f(1.05=0.0512). write down the answer and all the calculations steps in the text filed.
Use Euler's method with step size 0.2 to estimate y(0.6) where y(x) is the solution to...
Use Euler's method with step size 0.2 to estimate y(0.6) where y(x) is the solution to the initial value problem y' = y+x^2, y(0) = 3
Use Newton's method to find the value of x so that x*sin(2x)=3 x0 = 5 Submit...
Use Newton's method to find the value of x so that x*sin(2x)=3 x0 = 5 Submit your answer with four decimal places.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT