# math

posted by .

An initial-value problem is given by the differential equation,

f(x,y) = x + y, y(0) = 1.64

The Euler-midpoint method is used to find an approximate value to y(0.1) with a step size of h = 0.1.

Then use the integrating factor method, to find the exact value of y(0.1).

Hence, determine the global error, giving your answer to 5 decimal places.

Note that Global Error = Approximate Value - Exact Value.

• math -

after calculating the y' and y'' values.

the values come up be 2.7731947639

which when rounded to 5 decimal places gives the answer as: 2.773195

• math -

after re-calculating the euler-midpoint method. the value I got was 1.8172 while using normal euler method is 1.968.

however, I can't seem to find the exact solution to minus off the 1.8172 value to get the global error.

## Similar Questions

1. ### calc check: euler's method

Given the differential equation: dy/dx = y(1+x), y(0)=1, Use Euler's method with step size .1 to approximate y(.3). y' = y(1+x), y'(0) = 1(1+0)=1 ->the solution has slope 1 at the point (0,1); x0=0, y0=1, h=0.1, F(x,y)=y(1+x) y1=y0+h*F(x0,y0) …
2. ### math

An initial-value problem is given by the differential equation, f(x,y)=-20xy^2, y(1)=1. Use the classical fourth-order Runge-Kutta method with a step-size of h=0.02, to obtain the approximate value of y(1.02). Give your answer to 6 …
3. ### math

An initial-value problem is given by the differential equation, f(x,y)=x(1-y^2), y(1)=0.07 Use the Euler-trapezoidal method with a step-size h = 0.1, to obtain the approximate value of y(1.1). Give your answer to 4 decimal places.
4. ### Maths

An initial-value problem is given by the differential equation, f(x,y) = –20xy2, y(1) = 1. Use the classical fourth-order Runge-Kutta method with a step-size of h = 0.02, to obtain the approximate value of y(1.02). Give your answer …
5. ### maths

An initial-value problem is given by the differential equation, f(x,y) = x + y, y(0) = 1.64 The Euler-midpoint method is used to find an approximate value to y(0.1) with a step size of h = 0.1. Then use the integrating factor method, …
6. ### Really need help in Calculus Problem?!

Use Euler's method with step size .2 to estimate y(.4), where y(x) is the solution of the initial value problem y=x+y^2, y=0. Repeat part a with step size .1
7. ### calculus

Use Euler's method with step size .2 to estimate y(.4), where y(x) is the solution of the initial value problem y=x+y^2, y=0. Repeat part a with step size .1
8. ### PLEEEEEAAAASE HELP WITH DIFFERENTIAL EQ PROBLEMS!!

1) What are the equilibrium solutions to the differential equation and determine if it is stable or unstable with the initial condition y(-4)=1: 0.1(y+2)(4-y) 2) Use Euler's method with step size=0.5 and initial condition y(0)=3 to …
9. ### calculus

Hello! Just needed help with understanding this specific question. We never really wet over Euler's method so I'm not sure how to go about it. "Use Euler's method in order to solve the initial value problem below. dy/dx = x-3 and y=4 …
10. ### calc 2

Use Euler's method with step size 0.5 to compute the approximate y-values y1, y2, y3 and y4 of the solution of the initial-value problem y' = y − 3x, y(4) = 0.

More Similar Questions