# 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)
y1=1 + 0.1(1(1+0))
y1=1.01

y2=1.01 + 0.1(1.01(1+0.1)
y2=1.02111

y3=1.02111 + 0.1(1.02111(1+0.2))
y3=1.1436432

please check if i did this correctly. thanks! :)

1. 👍 0
2. 👎 0
3. 👁 142

## Similar Questions

1. ### Calculus

Suppose that we use Euler's method to approximate the solution to the differential equation đđŚ/đđĽ=đĽ^4/đŚ đŚ(0.1)=1 Let đ(đĽ,đŚ)=đĽ^4/đŚ. We let đĽ0=0.1 and đŚ0=1 and pick a step size â=0.2.

asked by FECK on February 24, 2020
2. ### 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

asked by Karen on December 8, 2014
3. ### calculus

Suppose f satisfies the differential equation dy/dx=y+1 and f(0)=1. In other words, fâ˛(x)=f(x)+1 and f(0)=1. Use Euler's method with a step size of 0.5 to approximate f(1.5).

asked by Joe on March 12, 2013
4. ### 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.

asked by enigma on September 26, 2012
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

asked by Matthew on September 29, 2013

Given the differential equation: dy/dx = y(1+x), y(0)=1, Use Euler's method with step size .1 to approximate y(.3). ... please check this for me! no one has responded to this question yet.. thanks. y' = y(1+x), y'(0) = 1(1+0)=1

asked by COFFEE on July 2, 2007
2. ### calculus

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)

asked by COFFEE on June 29, 2007
3. ### Calculus

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)

asked by COFFEE on June 26, 2007
4. ### Math/Euler's Method

Consider a cooling cup of coffee whose initial temperature is 205Â°. The room temperature is held at 70Â°. Suppose k = 1/16. Let y be the temperature, and y' its time derivative. ----------------------------------- I have the

asked by COFFEE on June 7, 2007
5. ### calculas

Consider a cooling cup of coffee whose initial temperature is 205Â°. The room temperature is held at 70Â°. Suppose k = 1/16. Let y be the temperature, and y' its time derivative. ----------------------------------- I have the

asked by pasta! on March 12, 2012

More Similar Questions