## 20 Reputation

4 years, 334 days

## trying list all y values for critical po...

Maple

Hi trying plot phase plane with these critical points. Howver what would I put for y at P1 to make it display when all y values

with(plots);
with(plottools);
with(DEtools);
solve({x*y = 0, x^2*y - x^2 = 0}, {x, y});
{x = 0, y = y}
initialset := {seq(seq([x(0) = a, y(0) = b], a = -2 .. 2), b = -2 .. 2)};
initialset := {[x(0) = -2, y(0) = -2], [x(0) = -2, y(0) = -1],

[x(0) = -2, y(0) = 0], [x(0) = -2, y(0) = 1],

[x(0) = -2, y(0) = 2], [x(0) = -1, y(0) = -2],

[x(0) = -1, y(0) = -1], [x(0) = -1, y(0) = 0],

[x(0) = -1, y(0) = 1], [x(0) = -1, y(0) = 2],

[x(0) = 0, y(0) = -2], [x(0) = 0, y(0) = -1],

[x(0) = 0, y(0) = 0], [x(0) = 0, y(0) = 1],

[x(0) = 0, y(0) = 2], [x(0) = 1, y(0) = -2],

[x(0) = 1, y(0) = -1], [x(0) = 1, y(0) = 0],

[x(0) = 1, y(0) = 1], [x(0) = 1, y(0) = 2],

[x(0) = 2, y(0) = -2], [x(0) = 2, y(0) = -1],

[x(0) = 2, y(0) = 0], [x(0) = 2, y(0) = 1], [x(0) = 2, y(0) = 2]

}
A := DEplot([diff(x(t), t) = x(t)^2*y(t) - x(t)^2, diff(y(t), t) = x(t)*y(t)], [x(t), y(t)], t = -3 .. 3, x = -8 .. 6, y = -5 .. 7, initialset, stepsize = 0.01, color = blue, linecolor = magenta, arrows = medium, axes = boxed, size = [1250, 1250]);
P1 := ellipse([0, y], 0.1, 0.15, filled = true, color = black);
Error, (in Plot:-TranslateOptions) unexpected options: [[0, y], .1, .15]
display([P1, A]);

## Fouier series , plotting first 50 terms...

Maple

Hi, a school question asked me to plot 50 terms of below fourier series. I need some help programming this plz.

(4/pi)*sum (sin (2k-1)*x/(2k-1), k=1..infinity) (k+1,k=0..n)

## Jacobian not showing for Lorenz equation...

Maple 2019

I am trying to get jacobian computed for lorenz equations, not showing matrix, using Maple 2019 newest version. any guidance?

## triple integral question...

how can I solve triple integral below in maple, thanks

## 3d plot spherical coordinates...

Maple 2019

I'm trying to create an ellipsoid using spherical coordinates.

"x^2 + y^2/4 + z^2/9 = 1" how can I enter this?

This is what I have , but shape show up really crazy

plot3d([cos(theta)*sin(phi),sin(theta)*sin(phi),cos(phi)],theta=0..2*Pi,phi=0..Pi,scaling=constrained,axes=boxed);

Thanks

[An edited and reposted version of this Question, which has subsequently been deleted, specifically asked that the plot be done by making a small adjustment to Maple's spherical coordinates. The deleted version also named the ellipsoid E, a detail which is important for understanding correctly the OP's subsequent integration Question. --Carl Love acting as a Moderator]

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