Question

Hey guys im trying to convert non linear eqn into linear, where can I find more information about this?

Answer 1

It depends on the type of equation. There are lots of different ways to do it.

Answer 2

yes, i'm just trying to refresh my knowledge on it. Do you know of any good source where I can see some examples?

Answer 3

For Differential Equations after calculus or for derivatives?

Answer 4

well I guess it would be after calculus but this is the eqn \[dy/dt=-5y^2+3uy+6u^2\]

Answer 5

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.

Answer 6

yikes well too bad I have it as an assignment question :P thanks though

Answer 7

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...

Answer 8

dy/dt? there are ys on the right side?

Answer 9

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

Answer 10

good catch but the question given has dy/dt though, i'm guessing prof made a mistake :)

Answer 11

sorry just realized both u and y are a function of t, should be y(t) and u(t)