112 Reputation

13 years, 347 days

Is It Abel again :(( ?...

Maple

I have the data set and  a systems of ODE ( 2 diff. eqn.)

is there any solution for these two equations simultaneously ?

How can I fit the data and evaluate the constants numerically, and how can I plot this ?

diff(x(t),t)=a*b*[X(t)^2-(Xo+Yo)*X(t)+X(t)*Y(t)]/[b*X(t)+c*Y(t)];

diff(Y(t),t)=a*c*[Y(t)^2-(Xo+Yo)*Y(t)-X(t)*Y(t)]/[b*X(t)+c*Y(t)];

data set

A Strange Problem - Nr. 1...

Maple

Dear MaplePrime users,  I have got a very strange problem ( for me surely)  I am not a mathematician , and not a good Maple user :(((  When you can help me in solving this problem with Maple, you  are very appreciated. Thanx.

Problem:

a, b, c, e,   are constants

X, Y, Z, M, N, R  are time dependent  variables,

X(t)=  Xo- M(t);

Y(t)= Yo - R(t) ;

N(t)= M(t) + R(t);

Z(t)= Zo - M(t) - R(t) ;

new defined parameters,  K= b/a = e/c = X / M =  Y/ R

Abel's Equation ?...

Maple

Dear  Maple World members,

I have a problem and I do not know how to solve this equation with Maple. If anyone can help me, that will a huge gift for me :)

{ [ dy/d(t) ]  / [ dx/d(t) ] } = e*[  ( a + b* y(t) + c* x(t) + d* x(t)* y(t)+ f *y(t)^2 )  / ( a + b*x(t) + c*y(t) + d* x(t)*y(t) + f* x(t)^2 ) ]

initial conditions :

at   t = 0,   x(0) = Xo, y(0) = Yo

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