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How to extract affine terms from a differential equation after linearization?

Vanderpol Eqn:

To be precise, I linearized...

I have a differential equation having a parameter say 'a'.

If I increase 'a' by 10%, got change in the solution as well.

How to calculate change in percentage in the solution?.

Thanks

How can I see the steps of solving a PDE ( partial differential equation ) in maple .
for example see the sepration variables and other equations that lead to final Eq .

Hello everyone,

I'm trying to solve the following nonlinear differential equation with the given boundary conditions.

Dear Maple Users

I wonder how I can use Maple to solve the problem:

for the potential \phi(r). The problem is from the artikle: http://en.wikipedia.org/wiki/Electric-field_screening

I'm particularly puzzled how to implement this differential operator and how to enter the Dirac delta function.

Thanks for any hints.

Hello,

I am quite new to Maple and require some help on vector calculus. I have a differential operator in matrix form C that has to be applied to a column vector B.

C = [d/dx   0    d/dy]

      [0     d/dy  d/dx]  

and

B = [

Hi,

I'm trying to use powsolve to give me the power series of a differential equation. It's been working wonderfully, afaik, but once I put in exp(x) it refuses to run. Here's my code:

 >with(powseries);

>a := powsolve(diff(y(x), x, x)+y*exp(x) = 0, y(0) = 1, (D(y))(0) = 2); tpsform(a, x)

and the error I'm getting:

Error, (in powseries:-powsolve) final value in for loop must be numeric or character

A := diff(Y,y$2)-(y11)^2*diff(Y,y) = 0
B := diff(diff(Y,x),y) - y11*diff(Y,x$2) = 0

do maple have tool to get differential identity, or simple algebra identity?
that identity is an equation in terms of A and B and y11, not Y

today, i stuty a differential equation,  firsy, i conver the equation from cartesian to polar as  follow:

restart: 

sys := diff(x(t), t) = -y(t)+x(t)*(1-2*x(t)^2-3*y(t)^2), diff(y(t), t) = x(t)+y(t)*(1-2*x(t)^2-3*y(t)^2):

then  using transformation x=r*cos(theta),y=r*sin(theta) convert it to polar coordinate,and get:

sys1:=diff(r(t), t) = r(t)*(1-2*r(t)^2-r(t)^2*sin(theta(t))^2), diff(theta(t), t) = 1

then  plot...

i study a simple differential equations as follow and get the solution,but i faced two warning which puzzle me:

> restart;
> eq2 := diff(x(t), t) = x(t), diff(y(t), t) = x(t)^2+y(t)^2-1;
   ans1 := dsolve({eq2, x(0) = 1, y(0) = -1}, numeric, [x(t), y(t)], range = -10 .. 10)       ;

Warning, cannot evaluate the solution further left of -1.1646698, probably a singularity

Hey,

i have 2 differential equations and want to solve the first one when x is positive and the second when x ist negativ. For this problem i wrote the follwing procedure. But when i try i have the posted error. Has someone a good idea to help me?

Thanks a lot

> DGL3 := 10*(D(D(x)))(t) = x(t);

> DGL4 := 10*(D(D(x)))(t)+5000 = x(t);

Tsolver:=proc()
global DG1, DG2, func, var, var_min, var_max, x, Dx, N:

I need to determine the general solution of the system of differential equations.

System of equations:

dx/dt = 2x-2z

dy/dt = 2y+2z

dz/dt = -2x+2y+4z

Thanks for the help!

Hello,

I'm new to Maple and am using it to solve linear and non-linear differential equations.

I can solve and plot linear DEs using a couple of methods. Im trying to solve a non-linear DE and i could find the series solution using dsolve. But given certain initial conditions, is there any way to plot or see the nature of the behaviour of the DE? I just want to see how the DE will look like maybe for certain points up to a certain level of accuracy. Is there any way to do that?

I am fairly new to Maple and trying to understand the dsolve command for numerical solutions and plotting graphs of radial distances and trajectory plots.

This is my code below. All of it successfully brings up a solution apart from the very last command and I don't understand why it is not working. 

I believe the last plot is plotting a trajectory plot but I am not sure. I am meant to use the solution to plot the trajectory plot (X(t),Y9t))=(r(t...