anonymous
  • anonymous
Hey guys im trying to convert non linear eqn into linear, where can I find more information about this?
Differential Equations
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
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anonymous
  • anonymous
It depends on the type of equation. There are lots of different ways to do it.
anonymous
  • anonymous
yes, i'm just trying to refresh my knowledge on it. Do you know of any good source where I can see some examples?
anonymous
  • anonymous
For Differential Equations after calculus or for derivatives?

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anonymous
  • anonymous
well I guess it would be after calculus but this is the eqn \[dy/dt=-5y^2+3uy+6u^2\]
anonymous
  • anonymous
There is no way to make that linear. It's a quadratic and polynomials of degrees other than one cannot be changed to become linear.
anonymous
  • anonymous
yikes well too bad I have it as an assignment question :P thanks though
anonymous
  • anonymous
Also, are you sure all the variables are right? Because right now you have a diff.eq in which you're deriving with respect to a variable that isn't on the right side of your equation...
anonymous
  • anonymous
dy/dt? there are ys on the right side?
anonymous
  • anonymous
Yes but the equation is taking the derivative with respect to t. It would be the same as if I had equation y = x^2 + xy + y^2 and then took the derivative with respect to t I would get dy/dt = 0 because I have no variables with t in them, therefore everything else is considered a constant. Since you don't have t on the right side anymore, I'm assuming that the original equation was something like (−5y^2+3uy+6u^2)*t Otherwise, the right side would be dy/du
anonymous
  • anonymous
good catch but the question given has dy/dt though, i'm guessing prof made a mistake :)
anonymous
  • anonymous
sorry just realized both u and y are a function of t, should be y(t) and u(t)

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