anonymous
  • anonymous
How would I use an exact differential equation to solve dy/dt=((-e)^y)/(t(e^y)+2y)?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
hey
anonymous
  • anonymous
get it into M(x,y)dx + N(x,y)dy = 0
anonymous
  • anonymous
How? I've only ever seen this type of equation as a very simple example already in the form M(x,y)dx + N(x,y)dy = 0. How would I separate this one?

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anonymous
  • anonymous
or M(t,y) dt + N(t,y)dy = 0
anonymous
  • anonymous
i have dy(t e^y + 2y ) = (-e^y dt
anonymous
  • anonymous
so you start it like the solution to a separable function?
anonymous
  • anonymous
so e^y dt + (te^y + 2y ) dy = 0
anonymous
  • anonymous
THANK YOU SO MUCH!
anonymous
  • anonymous
I don't know why I couldn't separate that on my own.
anonymous
  • anonymous
i have the formula, its a bit long
anonymous
  • anonymous
first we have to check that My = Nt ,
anonymous
  • anonymous
the partial of M(t,y) with respect to y
anonymous
  • anonymous
deriv wrt to y M(t,y) = e^y and deriv wrt to y N(t,y) = e^y , so its an exact equation
anonymous
  • anonymous
here http://www.twiddla.com/493184

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