Question

calculus question!
I have an exam tomorrow, please help :)

Answer 1

use Euler's method.
given dy/dx=x+2y
x=1, y=2, find y if x=2, using n=5

Answer 2

@FutureMathProfessor

Answer 3

thank you, @Jhannybean

Answer 4

thank you everyone for coming. please help me out! :)

Answer 5

Mr. Moo will help you :) -rhyming-

Answer 6

shoot i never learned Eulers method... i could solve this diff equ using integrating factor method but it might give diff answer since Eulers is an approximation ...
http://en.wikipedia.org/wiki/Eulers_method#Formulation_of_the_method

Answer 7

Mr Moo ? haha i dont know if i like sound of that

Answer 8

awh :/ bummer.. well thanks for trying !
and please tell other people about this problem

Answer 9

@satellite73 , @amistre64 , @Zarkon
any of you good at Eulers method

Answer 10

I sort of remember this.. If i can find my notes from 4 years ago that is.

Answer 11

I think it helps if you make a chart.. I remember my teacher drawing a chart on the board. I THINK. haha

Answer 12

So we have:
\[\frac{dy}{dx} = f(x;y)\]
\[y(x_0) = y(1) = 2\]

Answer 13

Let's approximate the solution to \[\frac{dy}{dx}\] near \[x=x_0\]
\[\frac{dy}{dx} at x=x_0 is = f(x_0; y_0)\]

Answer 14

And the tangent line is y - y0 = m(x-x0) (equation of a line).

Answer 15

From which we know that:
\[y = y_0 + f(x_0;y_0)(x_1-x_0) = 2 + (1+2*2)(x_1 - 1)\]

Answer 16

By the way, did you mean using n = 0.5 ?

Answer 17

oh wait, by n = 5 u mean in five steps