Non-linear Definition and 318 Threads

What makes a PDE non-linear please? Thanks!

i,m stuck into solving this differential equation: \frac{dy}{dx}f(y)=1 i,m trying to find an integrand factor but don,t know what to chose to solve it someone could help?..thanks... EDIT:i,m interested in getting y=y(x) not x=x(y)

in the movie "the bank" a mathematical genius predicts the exact movements of the sharemarket after years of research and attempts. he uses Fractal geometry, chaos theory, non-linear dynamics and of special interest to him was the work of mandelbrot and his work regarding fractals. He...

How non linear fea works. I am studying that and i can't find any material in the web which has some basics. How the Newton raphson method is used in non linear fea suppose i apply a force f on a structure after that how non linear fea works?

Who has any litterature about non-linear differential forms, especially for example if I would like to compute the following : (dx\wedge dy)(dx\wedge dy\wedge dz) is it equal to (dx)^2\wedge (dy)^2\wedge dz ?? Thanks in advance.

This was sent to me as a personal message- it's always better to post questions like this than just send them to me!

Non-Linear Functions Introduction: When a golfer hits a golf ball squarely at the bottom of the swing, with the shaft perpendicular to the ground, the ball is propelled into the air in a direction perpendicular to the face of the club [see the diagram below]. The different club angles...

Non-Linear Functions Introduction: When a golfer hits a golf ball squarely at the bottom of the swing, with the shaft perpendicular to the ground, the ball is propelled into the air in a direction perpendicular to the face of the club [see the diagram below]. The different club angles...

Now this next post is actualy connected to my previous post about light speed. Now what the light speed is infinite also shows is that there is no external time what so ever. What i mean is the big bang is happening right now just as the possible end of the universe is happening right now...

take a point A(x_1,y_1) on a circe centre B (x_2, y_2) and allow the circle to roll along an X-axis; now we all know that the cycloid equation to point A is highly non-linear; so now if we take the point B, we find the problem has been converted into a linear problem; now do this to E-fields...

Hi Everybody, Does anybody know how to solve, analytically or numerically, the following differential equation : \frac{d^2\Phi}{dx^2}-a.Sinh(\frac{\Phi}{U_{th}})=-b.Exp(-(\frac{x-x_{m}}{\sigma})^2}) The unknown function is \Phi. a and b are some strictly positive constants. q\Phi is...

The energy of a spring is the work done on the spring, and for a simple spring with F=-kx the energy may be changed by changing the constant k. In the non-linear case eg F = kx - 4qx^3 we would take the integral to obtain energy. But the question I thought was trivial was, "what values of k...

Im using maple, how can i find the general solution of y''y'''=y and then find the terms up to degree in taylor series using this general solution? Thanks

Does anyone know anything concrete about the application of nonlinear chaotic dyamical systems to psychology? I have come to find out that there is a substantial amount of research being done on this. I read some articles today where people were trying to apply this to dysfunctional families...

Given a system of two equations and two variables, x and y: x + ay = c x + by2 = d I believe this system can be solved uniquely (please correct me if I'm wrong). My question is that of independance. Would one be correct in the statement that these two equations are linearly independent...

I know that there is a general analytic method to solve the following non-linear differential equation \frac {dy} {dx} = ay^2 + by + c … where a, b and c are constants. It is just a Riccati equation generalized to constant coefficients. I am wondering if there is a analytic method to...

Very often I'll clap my hands while my cats' back is turned because I hate him. Most of the time he jumps just before my hands actually clap. I sometimes try to "fake" a clap by not actually making contact, but of course this doesn't make him jump, because in the future there was no clap. I...

I don't have a problem with drawing up matrices for system solutions, but I'm often puzzled by the answers. I therefore have avoided matrix analysis, even though it obviously, in a given case, would make a very nice short-cut. (Especially with computers: Other modalities can be technically...