Question

does anyone know Euler Method?? dy/dt = f(y,t)

Answer 1

http://www.csun.edu/~hcmth018/EuM.html

Answer 2

Thxxxx!!!! uff

Answer 3

np :)

Answer 4

it was on my test

Answer 5

when? i have tomorrow test on this pellet!

Answer 6

last thursday

Answer 7

do u know about..? i need help!

Answer 8

yes

Answer 9

just euler or improved or even worse runges kutta?

Answer 10

no just euler.
the formula is dy/dt = f(Tn,Yn).
how can i find f(Tn,Yn)

Answer 11

They should have given you starting point

Answer 12

dy/dx= 2x+y

y(0)=0

estimate y at 1

Answer 13

ooh ok! give me 2 min!

Answer 14

dy/dt = -y+1 y(0)=0
how i slove this?

Answer 15

they should have given you point to estimate
let say
at y(1)
f(x_0,y_0)=y'
we will do it using two steps

h=0.5

given
x_0=0
y_0=0

x_1= x_0+h
x_1=0+0.5=.5

y_1= y_0 + f(x_0,y_0) h
= 0 + 1* 0.5=.5

x_2=1

y_2= y_1 + f(x_1,y_1)h
0.5 0.5 (0.5)
.75

y(1)=0.75

Answer 16

here:
y_1= y_0 + f(x_0,y_0) h
= 0 + 1* 0.5=.5

why f(x_0, y_0) = 1?

Answer 17

f(x,y)= 1- y

f(x_0,y_0)= 1-0
=1

Answer 18

so at my example:

dy/dt = -y+1 y(0)=0

f(t_0, y_0) = -0+1 = 1 ?

Answer 19

yes

Answer 20

ok ok! thx!!
r u studing maths?

Answer 21

you mean my major?

Answer 22

yes

Answer 23

electrical engineering

Answer 24

kwel. i didnt know u were in college?

Answer 25

hm..nice! thank u btw..!

Answer 26

yes y ask?

Answer 27

I check using computer and it checks out

\[\left\{\{0,0\},\left\{\frac{1}{2},0.5\right\},\{1,0.75\},\left\{\frac{3}{2},0.875\right\},\{2,0.9375\},\left\{\frac{5}{2},0.96875\right\},\{3,0.984375\},\left\{\frac{7}{2},0.992188\right\},\{4,0.996094\},\left\{\frac{9}{2},0.998047\right\},\{5,0.999023\}\right.\]