jmartinez638
  • jmartinez638
Solve the differential equation y'= 2x^3 + 4x - 5.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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IrishBoy123
  • IrishBoy123
go for it !! and post here
Prettygirl_shynice
  • Prettygirl_shynice
ill help
jmartinez638
  • jmartinez638
Yeah, idk really what to do.

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IrishBoy123
  • IrishBoy123
go @Prettygirl_shynice !!
jmartinez638
  • jmartinez638
lol
jmartinez638
  • jmartinez638
Oh no. I understand what's happening, and it is difficult
jmartinez638
  • jmartinez638
A normal seperable equation would have, for example, an x and a y, and a dx and a dy. SO, since this is y', we must find y, seperate the equations, and integrate both sides.
jmartinez638
  • jmartinez638
Sound about right?
jmartinez638
  • jmartinez638
what do you think @Prettygirl_shynice
tkhunny
  • tkhunny
Have you considered first solving the characteristic equation?
jmartinez638
  • jmartinez638
Not really. Can you explain?
tkhunny
  • tkhunny
You should not have been given this problem without knowing what a characteristic equation is. At least SHOW the characteristic equation or we really cannot proceed.
tkhunny
  • tkhunny
Once you find the roots of the equation, you can simply write down general solutions in terms of exponentials and sine and cosine.
SolomonZelman
  • SolomonZelman
couldn't you just integrate?
jmartinez638
  • jmartinez638
\[\frac{ x(x^3+4x-10) }{ 2 } + c\]
SolomonZelman
  • SolomonZelman
you got that when integrating??
SolomonZelman
  • SolomonZelman
\(\large\color{#000000 }{ \displaystyle \int x^n=\frac{x^{n+1}}{n+1}\color{grey}{+C} }\)
Zarkon
  • Zarkon
jmartinez638's answer is correct...though it is unconventionally written
SolomonZelman
  • SolomonZelman
oh.... -:( :)
SolomonZelman
  • SolomonZelman
wouldn't write it like this myselft, but ...
Zarkon
  • Zarkon
\[\frac{ x(x^3+4x-10) }{ 2 } + c=\frac{x^4+4x^2-10x }{ 2 } + c=\frac{x^4}{2}+2x^2-5+c\]
SolomonZelman
  • SolomonZelman
yes, yes...
jmartinez638
  • jmartinez638
\[\frac{ x^4 }{ 2 } +2x^2 -5x + \]
jmartinez638
  • jmartinez638
Sorry, plus a constant
Zarkon
  • Zarkon
left off the x \[\frac{ x(x^3+4x-10) }{ 2 } + c=\frac{x^4+4x^2-10x }{ 2 } + c=\frac{x^4}{2}+2x^2-5x+c\]
jmartinez638
  • jmartinez638
Yeah, I 'simplified' it when I should have left it
jmartinez638
  • jmartinez638
What next? I really haven't come across this specific problem, so
IrishBoy123
  • IrishBoy123
incroyable @ganeshie8
ganeshie8
  • ganeshie8
Solving a differential equation means finding a function "y" that satisfies the given equation. y = x^4/2+2x^2-5x satisfies the given differential equation, so this is a solution. All the solutions are given by y = x^4/2+2x^2-5x + c
tkhunny
  • tkhunny
Whoops! What was I thinking?

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