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1-Visitor
March 19, 2013
Solved

System of ODEs

  • March 19, 2013
  • 3 replies
  • 5524 views

I came across this sytem of ODEs on a Differential Equations primer website, and am wondering if there is a way to model it in MathCAD (15)?

Thanks!

Best answer by Fred_Kohlhepp

As Harvey says, not a system, two seperate equations.

3 replies

12-Amethyst
March 19, 2013

That is not a system of equations. They are independent of each other. You can solve each equation independently using Mathcad's ODE solvers.

1-Visitor
March 19, 2013

Good point, Harvey. This is not a system of equations. My terminology has gotten a little rusty over the years...

What I am having trouble with is determining (with MathCAD) the value of tm (which is known to be 35.475). Any advice?

12-Amethyst
March 19, 2013

So it looks like you want to find the value of t where Q1 = 500? And then you solve the next equation for Q2 starting at that time, tm?

23-Emerald I
March 19, 2013

As Harvey says, not a system, two seperate equations.

1-Visitor
March 19, 2013

You make it look too easy. Thanks! Your point is noted regarding the terminology.

12-Amethyst
March 19, 2013

The Laplace method worked, but it required one manual cut and paste to obtain the transformed equation, so it wasn't totally automated.