# - 2y²,y(0) =0. 1+x² 4) Consider the IVP y'= х a) Verify that y= is the...

###### Question:

- 2y²,y(0) =0. 1+x² 4) Consider the IVP y'= х a) Verify that y= is the solution of this IVP. 1+x? b) Use Euler's method to numerically approximate the solution to this IVP over the interval [0,2] in x. Set the mesh width h=0.1. Calculate the true values of y atthe appropriate values of x as well as the error in your numerical approximation. Report your results in the table given. Report answers to four decimal places. Numerical Actual y % Error 0.2 0.4 0.6 0.8 1.2 1.4 1.6 1.8 c) Repeat part b with h =0.05. Numerical Actual y % Error 0.2 0.4 0.6 0.8 1.2 1.4 1.6 1.8 d) What happens to your error as you move further from your initial point. e) Which approximation is better? Why?

#### Similar Solved Questions

##### Projectile Motion Gun sights are adjusted to aim high to compensate for the effect of gravity,...
Projectile Motion Gun sights are adjusted to aim high to compensate for the effect of gravity, effectively making the gun accurate only for a specific range. If a gun is sighted to hit targets that are at the same height as the gun and 70.0 m away, how low will the bullet hit if aimed directly at a ...
##### The dashed lines in the diagram represent cross sections of equipotential surfaces drawn in 1-V...
The dashed lines in the diagram represent cross sections ofequipotential surfaces drawn in 1-V increments.What is the work done by the electric force to movea1- charge from A to B?...
##### A Lamborghini Diablo hand an engine that could generate 530 horsepower. The cross-sectional area of the...
A Lamborghini Diablo hand an engine that could generate 530 horsepower. The cross-sectional area of the car is 2.2 m^2. The drag coefficient for the car is 0.26. Assume the density of the air is 1.29 kg/m^3. If the force of drag is the only force resisting the option of the car (ie. there are no oth...
##### Chapter 5, Section 2, Exercise 036 Find the indicated confidence interval. Assume the standard error comes...
Chapter 5, Section 2, Exercise 036 Find the indicated confidence interval. Assume the standard error comes from a bootstrap distribution that is approximately normally distributed. A 95% confidence interval for a proportion p if the sample has n = 300 with p = 0.35, and the standard error is SE = 0....
##### The best way to include external javascript code into a HTML page is to use the...
the best way to include external javascript code into a HTML page is to use the include statement. true or false To retrieve a specific row from a set of mysqli results, call the data_seem method of thr result object. true or false...
##### What conditions can cause elevated cardiac enzymes other than a heart attack?
What conditions can cause elevated cardiac enzymes other than a heart attack?...
##### Unequal lives-ANPV approach Evans Industries wishes to select the best of three possible machines, each of...
Unequal lives-ANPV approach Evans Industries wishes to select the best of three possible machines, each of which is expected to satisfy the firm's ongoing need for additional aluminum-extrusion capacity. The three machines-A, B, and C-are equally risky. The firm plans to use a cost of capital of...
##### Cherokee Inc. is a merchandiser that provided the following information: Amount Number of units sold 20,000...
Cherokee Inc. is a merchandiser that provided the following information: Amount Number of units sold 20,000 Selling price per unit $30 Variable selling expense per unit$ 4 Variable administrative expense per unit $2 Total fixed selling expense$ 40,000 Total fixed administrative...
##### Need help with both please Consider an AC series circuit containing a coil, capacitor and resistance....
need help with both please Consider an AC series circuit containing a coil, capacitor and resistance. Tripling the frequency will change the inductive reactance by what factor? 03 O 1.73 O 1/3 O 1 D. Question 2 1 pts An RLC circuit has resistance Ro, inductance Lo, and capacitance Co. If the resist...
##### 3 attempts left Check my work Enter your answer in the provided box. Calculate the pH...
3 attempts left Check my work Enter your answer in the provided box. Calculate the pH of an aqueous solution at 25°C that is 9.3 x 10 Min HI. pH-...
##### Please answer thank you b) dy 1 X>0 dxx-x,
Please answer thank you b) dy 1 X>0 dxx-x,...
##### The Maxwell Company manufactures and sells a single product. Price and cost data regarding Maxwell's product...
The Maxwell Company manufactures and sells a single product. Price and cost data regarding Maxwell's product and operations are as follows: Selling price per unit $25.00 Variable cost per unit Raw materials Direct Labor Manufacturing Overhead 11.00 5.00 2.50 Fixed Manufacturing Overhead$192,000...