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sunit

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Not working,...

sunit 105
October 06 2013
0 0

Dear Sir,

The Dragile method would not work for me. I m really sorry, but i think i could not phrase my problem exactly as i wanted.

So i m again repharsing it.

The system of equation are simliar to those given in attached maple sheet.

Now for each positive omega1, these 2 equations will reduce to nonlinear system of equations, for which the solution is available. But my question, is there any way to solve these 2 equation for omega0 and v0, with parameter omega1, so that after solving i can plot and see how these 2 varable are varying with omega1.

I think now i correctly posed my problem, please let me know if i did a mistake in phrasing it.

Thanx and Regards

Sunit

> 

restart
> 

eq1 := (-8.803033820*omega1^2+2.513650650*omega1^4+6.287792934)*omega0^3+(-4.587750548*omega1^2+.1257544919*omega1^4)*omega0^2+(.4995873569*v0*omega1^2-42.77975332*omega1^2+43.78038596*omega1^4-1.*omega1^6)*omega0-2.898907804*v0*omega1^4+7.251497740*v0*omega1^2

(-8.803033820*omega1^2+2.513650650*omega1^4+6.287792934)*omega0^3+(-4.587750548*omega1^2+.1257544919*omega1^4)*omega0^2+(.4995873569*v0*omega1^2-42.77975332*omega1^2+43.78038596*omega1^4-1.*omega1^6)*omega0-2.898907804*v0*omega1^4+7.251497740*v0*omega1^2

 (1)
> 

eq2 := (.2052676560*omega1-.1297848103*omega1^3)*omega0^3+(225.5353949*omega1+2.435592112*omega1^5-227.9725279*omega1^3)*omega0^2+(-39.50736818*v0*omega1-.8872270663*omega1^3+15.79373283*v0*omega1^3+0.5163200000e-1*omega1^5)*omega0+0.9169825166e-1*v0*omega1^3

(.2052676560*omega1-.1297848103*omega1^3)*omega0^3+(225.5353949*omega1+2.435592112*omega1^5-227.9725279*omega1^3)*omega0^2+(-39.50736818*v0*omega1-.8872270663*omega1^3+15.79373283*v0*omega1^3+0.5163200000e-1*omega1^5)*omega0+0.9169825166e-1*v0*omega1^3

 (2)
> 

``


Download Set_of_equation.mw

Not working,...

sunit 105
October 06 2013

Dear Sir,

The Dragile method would not work for me. I m really sorry, but i think i could not phrase my problem exactly as i wanted.

So i m again repharsing it.

The system of equation are simliar to those given in attached maple sheet.

Now for each positive omega1, these 2 equations will reduce to nonlinear system of equations, for which the solution is available. But my question, is there any way to solve these 2 equation for omega0 and v0, with parameter omega1, so that after solving i can plot and see how these 2 varable are varying with omega1.

I think now i correctly posed my problem, please let me know if i did a mistake in phrasing it.

Thanx and Regards

Sunit

> 

restart
> 

eq1 := (-8.803033820*omega1^2+2.513650650*omega1^4+6.287792934)*omega0^3+(-4.587750548*omega1^2+.1257544919*omega1^4)*omega0^2+(.4995873569*v0*omega1^2-42.77975332*omega1^2+43.78038596*omega1^4-1.*omega1^6)*omega0-2.898907804*v0*omega1^4+7.251497740*v0*omega1^2

(-8.803033820*omega1^2+2.513650650*omega1^4+6.287792934)*omega0^3+(-4.587750548*omega1^2+.1257544919*omega1^4)*omega0^2+(.4995873569*v0*omega1^2-42.77975332*omega1^2+43.78038596*omega1^4-1.*omega1^6)*omega0-2.898907804*v0*omega1^4+7.251497740*v0*omega1^2

 (1)
> 

eq2 := (.2052676560*omega1-.1297848103*omega1^3)*omega0^3+(225.5353949*omega1+2.435592112*omega1^5-227.9725279*omega1^3)*omega0^2+(-39.50736818*v0*omega1-.8872270663*omega1^3+15.79373283*v0*omega1^3+0.5163200000e-1*omega1^5)*omega0+0.9169825166e-1*v0*omega1^3

(.2052676560*omega1-.1297848103*omega1^3)*omega0^3+(225.5353949*omega1+2.435592112*omega1^5-227.9725279*omega1^3)*omega0^2+(-39.50736818*v0*omega1-.8872270663*omega1^3+15.79373283*v0*omega1^3+0.5163200000e-1*omega1^5)*omega0+0.9169825166e-1*v0*omega1^3

 (2)
> 

``


Download Set_of_equation.mw

Tricky Answer,...

sunit 105
October 06 2013

Hi, That was tricky answer. Actually i could not phrase my problem properly and i m really sorry for that.

Here i am again rephrasing it.

The system of equation are simliar to those given in attached maple sheet.

Now for each positive omega1, these 2 equations will reduce to nonlinear system of equations, for which the solution is available. But my question, is there any way to solve these 2 equation for omega0 and v0, with parameter omega1, so that after solving i can plot and see how these 2 varable are varying with omega1.

I think now i correctly posed my problem, please let me know if i did a mistake in phrasing it.

Thanx and Regards

Sunit

> 

restart
> 

eq1 := (-8.803033820*omega1^2+2.513650650*omega1^4+6.287792934)*omega0^3+(-4.587750548*omega1^2+.1257544919*omega1^4)*omega0^2+(.4995873569*v0*omega1^2-42.77975332*omega1^2+43.78038596*omega1^4-1.*omega1^6)*omega0-2.898907804*v0*omega1^4+7.251497740*v0*omega1^2

(-8.803033820*omega1^2+2.513650650*omega1^4+6.287792934)*omega0^3+(-4.587750548*omega1^2+.1257544919*omega1^4)*omega0^2+(.4995873569*v0*omega1^2-42.77975332*omega1^2+43.78038596*omega1^4-1.*omega1^6)*omega0-2.898907804*v0*omega1^4+7.251497740*v0*omega1^2

 (1)
> 

eq2 := (.2052676560*omega1-.1297848103*omega1^3)*omega0^3+(225.5353949*omega1+2.435592112*omega1^5-227.9725279*omega1^3)*omega0^2+(-39.50736818*v0*omega1-.8872270663*omega1^3+15.79373283*v0*omega1^3+0.5163200000e-1*omega1^5)*omega0+0.9169825166e-1*v0*omega1^3

(.2052676560*omega1-.1297848103*omega1^3)*omega0^3+(225.5353949*omega1+2.435592112*omega1^5-227.9725279*omega1^3)*omega0^2+(-39.50736818*v0*omega1-.8872270663*omega1^3+15.79373283*v0*omega1^3+0.5163200000e-1*omega1^5)*omega0+0.9169825166e-1*v0*omega1^3

 (2)
> 

``


Download Set_of_equation.mw

Thanx!...

sunit 105
October 04 2013
0 0

Thank you very much sir,

I think it should work for me, as i have to make a plot between x and y futher.

Regards

Sunit

Thanx!...

sunit 105
October 04 2013

Thank you very much sir,

I think it should work for me, as i have to make a plot between x and y futher.

Regards

Sunit

@Markiyan Hirnyk Actually both of these ...

sunit 105
October 04 2013

@Markiyan Hirnyk Actually both of these equations are of the order of 16 for y, so i avoided it, and just put a general form.

Regards Sunit

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