## 499 Reputation

16 years, 49 days

## Arrow...

Thanks alot.

But how to sketch the arrow on these solution curves?

## Arrow...

Thanks alot.

But how to sketch the arrow on these solution curves?

## Set a[1] = 2 and a[2] = 4/3...

Set a[1] = 2 and a[2] = 4/3

## With coupled equations...

restart; with(plots); with(DEtools); plot1 := phaseportrait([(D(x))(t) = x(t)+exp(-y(t)), (D(y))(t) = -y(t)], [x(t), y(t)], t = -100 .. 100, [[x(0) = 0, y(0) = 1]], x = -2 .. 2, y = -2 .. 2, titlefont = [TIMES, ROMAN, 18], title = `6.1.14`, color = grey, linecolor = [red, blue]); plot2 := plot(a[1]*(x(t)+1)+a[2]*(x(t)+1)^2, x = -2 .. 2, color = green); display([plot1, plot2]) The above problem only had DE, I have 2. What do I need to change in plot2 to make this work>

## Nevermind I got it...

Nevermind I got it

## Nevermind I got it...

Nevermind I got it

## After that, then I apply the...

After that, then I apply the conditions as follows:

restart; with(LinearAlgebra); Totals := [0, 0, 0, 0, 0]; to 100 do A := RandomMatrix(2, 2, generator = -1 .. 1); if `and`(Determinant(A) < 0, Trace(A)^2-4*Determinant(A) > 0) then Totals[1] := Totals[1]+1 elif `and`(Trace(A) > 0, Trace(A)^2-4*Determinant(A) > 0) then Totals[2] := Totals[2]+1 elif `and`(Trace(A) > 0, Trace(A)^2-4*Determinant(A) < 0) then Totals[3] := Totals[3]+1 elif `and`(Trace(A) < 0, Trace(A)^2-4*Determinant(A) < 0) then Totals[4] := Totals[4]+1 elif `and`(Trace(A) < 0, Trace(A)^2-4*Determinant(A) > 0) then Totals[5] := Totals[5]+1 else print("Nothing") end if end do; Totals/(100.0)

## After that, then I apply the...

After that, then I apply the conditions as follows:

restart; with(LinearAlgebra); Totals := [0, 0, 0, 0, 0]; to 100 do A := RandomMatrix(2, 2, generator = -1 .. 1); if `and`(Determinant(A) < 0, Trace(A)^2-4*Determinant(A) > 0) then Totals[1] := Totals[1]+1 elif `and`(Trace(A) > 0, Trace(A)^2-4*Determinant(A) > 0) then Totals[2] := Totals[2]+1 elif `and`(Trace(A) > 0, Trace(A)^2-4*Determinant(A) < 0) then Totals[3] := Totals[3]+1 elif `and`(Trace(A) < 0, Trace(A)^2-4*Determinant(A) < 0) then Totals[4] := Totals[4]+1 elif `and`(Trace(A) < 0, Trace(A)^2-4*Determinant(A) > 0) then Totals[5] := Totals[5]+1 else print("Nothing") end if end do; Totals/(100.0)

## I need to generate a...

I need to generate a matrix

a b

c d

where a b c d are from [-1,1]

## I need to generate a...

I need to generate a matrix

a b

c d

where a b c d are from [-1,1]

## Store...

Rather than have Maple print text, what's the Maple command to store these elements ('types') for each matrix? Then divide by 10 to find the relative frequency?

## Store...

Rather than have Maple print text, what's the Maple command to store these elements ('types') for each matrix? Then divide by 10 to find the relative frequency?

## hey...

I got it working anyway thanks tho

## hey...

I got it working anyway thanks tho

## Label...

Nevermind, but if I want to label the funciton in the graph, how do I do this?

 1 2 3 Page 1 of 3
﻿