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12-18-2013
04:24 AM

12-18-2013
04:24 AM

Hi all,

We have certain deferential equations as shown in the attached image:

Now we want plot of Tm With respect to Time.

is it possible to achieve this in Mathcad?

Pls Help.

Thanks,

Shashank

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12-19-2013
04:29 AM

12-19-2013
04:29 AM

With a second-order equation you need an initial value for the dependent variable and an initial value for the rate of change of the dependent variable. However, the 2nd order equation you have implemented is not consistent with the equations you originally listed!

Alan

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12-18-2013
05:18 AM

12-18-2013
05:18 AM

Re: 2D Plot Help Required

These equations can be combined to form a linear second-order differential equation with constant coefficients. This can be solved analytically (look up the solution in a standard text-book). You can then construct Tm and plot it. You will need to specify numerical values for theta and dtheta/dt at time zero before you can plot anything though.

Alan

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12-18-2013
05:36 AM

12-18-2013
05:36 AM

Re: 2D Plot Help Required

can you please share a mathcad sheet?

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12-18-2013
08:43 AM

12-18-2013
08:43 AM

Re: 2D Plot Help Required

Attached is a sheet showing how to solve and plot numerically. (M15 format)

Alan

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12-19-2013
02:32 AM

12-19-2013
02:32 AM

Re: 2D Plot Help Required

Thnaks Alan,

But when i am defining it as second order derivative, its giving error, as "Too few initial conditions"

Please suggest.....

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12-19-2013
04:29 AM

12-19-2013
04:29 AM

With a second-order equation you need an initial value for the dependent variable and an initial value for the rate of change of the dependent variable. However, the 2nd order equation you have implemented is not consistent with the equations you originally listed!

Alan