MaplePrimes Questions

For example
input 3 lists

[1,2,3,4,5]
[0,5,2,3,7]
[7,5,2,3,2]
 

return [2,3],[5,2,3]

If I have a line on the form a*x+by+c = 0 which command do I use to rearrange it to y = m*x+b ?

Other than isolate

Many thanks in advance.

testing2.mw
 

restart

P := 10; -1; r := .5; -1; c := 1; -1; Rb := proc (alpha) options operator, arrow; (1/2)*P+(1/2)*c+(1/2)*alpha*cos(alpha) end proc; -1; plot(Rb, 0 .. (1/2)*Pi); -1; sys1 := {beta > 0, beta = cot(beta), beta < (1/2)*Pi}; -1; p := solve({beta > 0, beta = cot(beta), beta < (1/2)*Pi}, {beta})

"p:="

(1)

sys := {x^2 = 9, x+y < 10}; -1; m := solve({x^2 = 9, x+y < 10}, {x, y})

{x = 3, y < 7}, {x = -3, y < 13}

(2)

NULL

NULL

 

 

Greetings!

I'm triying to solve this system in Maple:

  beta = cot(beta),

  0 < beta < (1/2)*Pi

But when I execute this statement

  p := solve({beta = cot(beta), beta>0, beta<(1/2)*Pi}, {beta})

the value of p in NULL.  Maple doesn't show any errors. 

Edit: Example from the "solve" help article works as shown, that was my typo.

Could you please tell me, what am I doing wrong?

This is another problem I just found in Maple 2019.2 on windows 10. professional.

I wanted to close Maple, so did  File->Exit 

 

But Maple did nothing. It did not close.  Also Alt-F4 did not close Maple. I had to click on the little X on top right corner of the open window to close Maple.  

In earlier version this used to work to close Maple.

Do others see this as well?  To reproduce, simply start Maple, and do File->Exit.

Here is a movie also

 

I want to separate  the derivative and non-derivative (the part other than  derivative) terms from the following (shown in figure) equations by using maple commands or code. Kindly help me. Thanks in advance. 

 

This may be a bug.  In Maple 2019.0

plot3d(x^2+y^2)

Now grab the graphing window and drag to adjust it's size.  It doesn't adjust it's size until you let go of the mouse button.

Any with an idea on how to determine the Inflexition points on a discrete data set in Maple? I can only find stuff online on how to in Matlab, but not in Maple. 

Any suggestions on how to do it in Maple? 

 

 

You can graph Maple in 4 dimensions ... help...

 

Examples

...

If maple can auto discover derived equations, 

then most variable are unknown name which may or may not be physics variable.

so, how to guess which physics data suitable for these look like meaningless variable?

or these tools only visualize the relationship of existing known equations?

Please, I would really appreciate if anyone can help me to find the step by step solution for this equation:

I got the right answer by choosing Solve for X, but it did not come with step by step :/

 

8*x*e^(-3*x^2) - 24*x^3*e^(-3*x^2)

 

kind regards

Hello,

I have a problem using the NonlinearFit function from the Statistics package in Maple 2018.

I want to fit an exponential function which is non-linear in the parameters. The function in itself is working fine but i want to implement an extra condition on the parameters that are fitted. I already implemented the range of each parameter which is from 0 to 1, but I also want to implement the following condition:

a + b + c = 1.0
 

This is the code that i am using:

with(Statistics);
X := Vector([0, 100, 200, 300, 400, 500], datatype = float);
Y := Vector([0.2e-2, 0.5e-2, 0.7e-2, 0.75e-2, 0.77e-2, 0.8e-2], datatype = float);
nlfit := NonlinearFit(epsfunc, X, Y, t, parameterranges = [a = 0 .. 1, b = 0 .. 1, c = 0 .. 1], initialvalues = [a = .2, b = .2, c = .2], output = [parametervalues, leastsquaresfunction]);

 

It there a way to implement the additional condition that a+b+c=1.0?

 

Thanks!

Joa

 

 

Edit:

Epsfunc is the result of solving an ODE using dsolve:

the following code is used:

restart;

eq1 := x(t)+(t1+t2)*(diff(x(t), t))+t1*t2*(diff(x(t), t, t)) = (n1+n2)*(diff(eps(t), t))+(n1*t2+n2*t1)*(diff(eps(t), t, t));
tr := n1*n2*(E1+E2)/((n1+n2)*E1*E2);
x := proc (t) options operator, arrow, function_assign; x0 end proc;
solution := dsolve({eq1, eps(0) = x0/(E1+E2), (D(eps))(0) = x0*((n1/E1+n2/E2)/(n1+n2)-1/(E1+E2))/tr}, eps(t)); assign(solution);


E := 500;
E1 := a*E; E2 := b*E; t1 := 100; t2 := c*t1; n1 := E1*t1; n2 := E2*t2; x0 := 2;
epsfunc := eval(eps(t));
 

How to solve this DE with IC by using DTM.
D^m u(x,t)=u''(x,t)-u^2 (x,t), where n-1< m < n 

IC: u(x,0)=1+sin(x), and u'(x,0)=0

I have a problem for school that I need help with. 

Solve: by variation of parameters.

x3y’’’ – x2y’’ − 2xy’ + 6y = x2

Use any software, e.g. Maple, as an aid in computing roots of the auxiliary equation and the Wronskian-based determinants W, W1, W2, W3

I was able to hand calculate the roots as [m1 = 3, m2 = 2, m3 = -1]
 

NULL

with(VectorCalculus); Wronskian([x^3, x^2, 1/x], x, 'determinant')

Matrix(%id = 18446744078324919462), -12*x

(1)

with(VectorCalculus); Wronskian([0, x^2, 1/x], x, 'determinant')

Matrix(%id = 18446744078349556782), 0

(2)

with(VectorCalculus); Wronskian([x^3, 0, 1/x], x, 'determinant')

Matrix(%id = 18446744078266878782), 0

(3)

with(VectorCalculus); Wronskian([x^3, x^2, 0], x, 'determinant')

Matrix(%id = 18446744078331625094), 0

(4)

m3 := Matrix(3, 3, [0, x^2, 1/x, 0, 2*x, 1/x^2, x^2, 2, 2/x^3])

Matrix(%id = 18446744078385724822)

(5)

Determinant(m3, method = multivar)

Determinant(Matrix(%id = 18446744078385724822), method = multivar)``

(6)

roots(x^3-x^2-2*x+6, alpha, beta)

[]

(7)

``

solve(x^3-x^2-2*x+6 = 0, x)

-(1/3)*(71+9*58^(1/2))^(1/3)-(7/3)/(71+9*58^(1/2))^(1/3)+1/3, (1/6)*(71+9*58^(1/2))^(1/3)+(7/6)/(71+9*58^(1/2))^(1/3)+1/3+((1/2)*I)*3^(1/2)*(-(1/3)*(71+9*58^(1/2))^(1/3)+(7/3)/(71+9*58^(1/2))^(1/3)), (1/6)*(71+9*58^(1/2))^(1/3)+(7/6)/(71+9*58^(1/2))^(1/3)+1/3-((1/2)*I)*3^(1/2)*(-(1/3)*(71+9*58^(1/2))^(1/3)+(7/3)/(71+9*58^(1/2))^(1/3))

(8)

m3 := Matrix(3, 3, [0, x^2, 1/x, 0, 2*x, 1/x^2, 1/x, 2, 2/x^3])

Matrix(%id = 18446744078348970214)

(9)

Determinant(m3, method = multivar)

Determinant(Matrix(%id = 18446744078348970214), method = multivar)

(10)

``

m3 := Matrix(3, 3, [0, x^2, 1/x, 0, 2*x, 1/x^2, 1/x, 2, 2/x^3])

``

``


 

Download project_27.mw

 

 

 

Lets say I have a circle with the eqn 

x^2 + y^2 - 10*x - 75 = 0

Is there a command which would allow me to convert the above to (x-5)^2+y^2=100 ? 

I have tried to both collect, factor but neither of these work for obvious reason. 

So any idea/surgestion on which command one could use? 

Many thanks in advance.  

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