Question

differential equation help please...?

Answer 1

\[\frac{dy }{dx } = x + y + xy\]

Answer 2

it is a first order differential equation

Answer 3

yeah I'm alright with ODE's on general, but im supposed to solve this one using the Runge Katta method... any ideas?

Answer 4

jajja very advance to me sorry

Answer 5

no worries, @satellite73 could you help when you have a sec please?

Answer 6

try it
y'+1=x+y+xy+1
then y'+1=(x+1)(y+1)

Answer 7

.. where did the plus 1 come from...?

Answer 8

id try
\[y=\sum_0a_nx^n\]

Answer 9

not real sure what a rung katta method is

Answer 10

me neither but it's part of the end of week Q's, sorry its spelt runge kutta, my bad

Answer 11

http://mathworld.wolfram.com/Runge-KuttaMethod.html

Answer 12

you want numerical solution ?

Answer 13

Couldn't you use separation of variables?

Answer 14

@eSpeX that sites pretty good, but is there a first-order formula for this, it only gives the 2nd and fourth

Answer 15

@amoodarya yeah, any solution would be great, please

Answer 16

y'-(x+1)y=x

multiply both side by miu(x) then you have solotion