# Euler's method(1st-derivative) Calculator

## Calculates the solution y=f(x) of the ordinary differential equation y'=F(x,y) using Euler's method.

 The initial condition is y0=f(x0), and the root x is calculated within the range of from x0 to xn. $\normal \\\vspace{10}y'=F(x,y)\hspace{30} y_0=f(x_0)\rightarrow\ y=f(x)\\$

 F(x,y) x0 initial condition y0 = f(x0) xn x0≦x≦xn [ partition n 10 20 50 100 200 500  ] 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
 $\normal Euler's\ method\\[10pt](1)\ y'=F(x,y),\hspace{30} y_0=f(x_0)\rightarrow\ y=f(x)\\(2)\ y_{n+1}=y_n+hF(x_n,\ y_n)+{\small O}(h^2), \hspace{5} x_n=x_0+nh\\$

Euler's method(1st-derivative)
 [1-10] /46 Disp-Num5103050100200
[1]  2019/03/07 11:25   Male / Under 20 years old / High-school/ University/ Grad student / Useful /
Purpose of use
Research
Comment/Request
If there could be an addition of a step function?
[2]  2019/02/22 03:40   Male / Under 20 years old / High-school/ University/ Grad student / Useful /
Purpose of use
Homework
Comment/Request
A customizable "Partition n"
[3]  2018/11/13 01:17   Male / Under 20 years old / High-school/ University/ Grad student / Useful /
Purpose of use
knowledge
Comment/Request
thank u
[4]  2018/10/31 08:59   Male / Under 20 years old / High-school/ University/ Grad student / A little /
Purpose of use
Checking homework for BC
Comment/Request
[5]  2018/10/13 16:30   Female / 20 years old level / High-school/ University/ Grad student / Useful /
Comment/Request
Kindly make calculator for "modified Euler"
[6]  2018/04/19 20:46   Female / 20 years old level / High-school/ University/ Grad student / Useful /
Purpose of use
hand calculation verification
Comment/Request
Would be nice to specify step size instead of number of steps, but otherwise good approximation
[7]  2018/04/10 15:58   Male / 20 years old level / An engineer / Useful /
Purpose of use
wonder
Comment/Request
keep on doing the good work spread the math :D
[8]  2017/05/03 20:33   Male / Under 20 years old / Elementary school/ Junior high-school student / Useful /
Purpose of use
SCCA-South Carolina Connexus
Comment/Request
I hope this site works for everyone in the future.
[9]  2017/04/20 22:35   Male / Under 20 years old / High-school/ University/ Grad student / A little /
Purpose of use
Checking my answers for Calc BC
Comment/Request
I had to change the HTML value for the select input of the partitions in order to get the number of partitions that I wanted.
[10]  2017/03/31 12:39   Male / Under 20 years old / High-school/ University/ Grad student / A little /
Purpose of use
calculus homework
Comment/Request
it only works if you need the amount of partitions they offer. it would be 100x better if you could input the partition number

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