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Student Support Forum: 'how to solve simulatneous differential equations.' topicStudent Support Forum > General > Archives > "how to solve simulatneous differential equations."

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sean
08/19/03 11:39am

Hi,
Im new to mathematica but i want to solve two simultaneous differential equations as a
function of length (z=0 to L).
The equations are

dq/dz=(a/(1+p+q))*(u*p+1)*q


dp/dz=(b/(1+p+q))*(u*q-1)*p


As you can see both p and q vary with z.How might I go about solving (integrating) this?

What I have tried so far is involves the DSolve function, Ie

DSolve[{p'[z]==(b/(1+p[z]+q[z]))*(u*q[z]-1)*p[z], q'[z]==(a/(1+p[z]+q[z]))*(u*p[z]+1)*q[z]}, {p[z], q[z]}, z]

but I get a nonsensical answer.
Im using Mathematica version 4.2 if that makes a difference.

thanks for any help
sean


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Author Date Posted
how to solve simulatneous differential equations. sean 08/19/03 11:39am
Re: how to solve simulatneous differential equa... Henry Lamb 08/21/03 01:44am
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