Items tagged with equation



Differential equation solve

The differential equation I'm solving for is:

Differential Equation

I have a problem in excuting this differential equation in maple it takes a long time but yet no result.

> restart;

> Delta:= epsilon[2]-epsilon[1];

> epsilon[y] := epsilon[2]-(1/4)*Delta*(1-tanh(a*y))^2;

 > z:= tanh(a*y) ;

 > ODE[4]:= diff(Y(y),y,y)- ( a/2* Delta *(1-z)*(z^2-1))/(epsilon[2]- Delta*(1-z)/4)* diff(Y(y),y)-( beta^2+ mu[0]*epsilon[y]*omega^2)*Y(y) = 0;

> dsolve(ODE[4],Y(y));

does this always occur or i do have problem with my version of maple 15, 7 and 16.

Thank you, looking forward for your answers.


Maple syntax for solving for t:

solve(14.2857*exp(-t)-0.0045exp(-1.0175*t)-14.2857*exp(-(t-5))-0.0045exp(-1.0175*(t-5))+7.368=0, t);

Note: Equation was obtained from chemical engineering process control problem. This is the case for t > 5. For t < 5, we have:

solve(-0.2457+14.2857*exp(-t)-0.0045exp(-1.0175*t)+7.368=0, t);

I have tried multiple times for both cases, but Maple still runs forever. How can I solve this issue?

i have 3 equations which contains both numeric and symbols, how can i seprrate these to ?
for example :

> restart:
> eq1:=a[1]^3+a[2]+a[3]^2+50;

> eq2:=a[1]^2+5*a[2]+a[3]+44;

> eq3:=a[1]+a[2]+a[3]^2+74;

i want maple to seprate these three equations in two vectors,first vector including symbols and second one includes numerics , like this :



so that 


gives me the answer true.
tnx for help.

2. Give the Maple command(s) to compute \frac{\partial^8 f}{\partial^5 x \partial^3 y} for f(x, y) = e^{2x+ cos(y)}.

How do I define a function from a graph in a plot? 

Or how do I find the intersection between two lines? I have to find the intersection of 2 lines in a graph, while one of these lines consists of 2 different equations dependent from the same variable. 


Thanks in advance. 

Why can't Maple solve this integral equation using intsolve? May be my error entering it?

sys:= diff(y(t),t)=2-t^2/2 - 1/4 * int(y(t1),t1=0..t);

Error, (in unknown) invalid input: diff received 0, which is not valid for its 2nd argument

I solve it by hand, and wanted to verify the solution. I get y(t)=C* sin(t/2) -4*t and C can be found to be 12


Let z be a complex number and p your conjugate. how to solve the equation

(2z-3)(-3p+4)-(2p-3)(-3z+4)=0   with maple?

How can I Solve this using maple?

Differential equation:
y(n+2) + 7/10 y(n+1) + 1/10 y(n) = x(n)

x(n) = 1
y(0) = 0
y (1) = 1

Use Z-transformer to define y(n).

Solve y(0), y(1), y(2), y(3) y(4) and y(5) 

Any one?


I have a program with system of equations in wich my equations are in 8 matrices (4x4) with 64unknown parameters

i have run it but after 10 minitutes maple gives this massage:

"length of output exceeds limit of 1000000"

is there any way to solve this problem?


I am trying to solve an equation for optimization purpose, However I always recieve the message below:

Warning, solutions may have been lost

The Maple code is as follow:


I would be thankful if anyone can help me to solve this problem.



I want to find all values of m such that the equation (x-m)*(x-2*m-1)*(x+3*m-2)*(x+m+3)=0 has two positive solutions and two negative solutions. How to solve this problem with Maple?

Hi every body

I want to solve a differential equation y'(t) = sqrt((f-1)/(t^f-t)) and get an answer in terms of ordinary it possible. thanks 


I need to find a sollution for equation in maple 14

a*s = b mod c, where a, b, c are know integers, for example

It's interesting that every continuous piecewise linear function can be specified by one explicit equation with absolute values​​. The procedure JoggedLine carries out such conversion.

Formal arguments of the procedure: 

A - a list of the coordinates of the vertices of the polyline or the continuous piecewise linear expression defined on the entire real axis.

B (optional) - a point on the left "tail"...

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