2D Plot Help Required

[ssharma-2]

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

[AlanStevens]

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

[ssharma-2]

can you please share a mathcad sheet?

[AlanStevens]

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

Alan

[ssharma-2]

Thnaks Alan,

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

Please suggest.....

[AlanStevens · Accepted solution]

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