Jack1
  • Jack1
differential equation help please...?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Jack1
  • Jack1
\[\frac{dy }{dx } = x + y + xy\]
anonymous
  • anonymous
it is a first order differential equation
Jack1
  • Jack1
yeah I'm alright with ODE's on general, but im supposed to solve this one using the Runge Katta method... any ideas?

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anonymous
  • anonymous
jajja very advance to me sorry
Jack1
  • Jack1
no worries, @satellite73 could you help when you have a sec please?
amoodarya
  • amoodarya
try it y'+1=x+y+xy+1 then y'+1=(x+1)(y+1)
Jack1
  • Jack1
.. where did the plus 1 come from...?
amistre64
  • amistre64
id try \[y=\sum_0a_nx^n\]
amistre64
  • amistre64
not real sure what a rung katta method is
Jack1
  • Jack1
me neither but it's part of the end of week Q's, sorry its spelt runge kutta, my bad
eSpeX
  • eSpeX
http://mathworld.wolfram.com/Runge-KuttaMethod.html
amoodarya
  • amoodarya
you want numerical solution ?
eSpeX
  • eSpeX
Couldn't you use separation of variables?
Jack1
  • Jack1
@eSpeX that sites pretty good, but is there a first-order formula for this, it only gives the 2nd and fourth
Jack1
  • Jack1
@amoodarya yeah, any solution would be great, please
amoodarya
  • amoodarya
y'-(x+1)y=x |dw:1368548194171:dw| multiply both side by miu(x) then you have solotion

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