Question: System of Differential Equations

Hi all,

I have a system of differential equations:

Eq1:=diff(R(t), t) = -0.22*W(t)-3000+0.3*R(t)+3488*exp(0.295e-3*t)+.744*(diff(W(t), t))

Eq2:=diff(W(t), t) = 0.304*W(t)-0.1916e-1*R(t)-2981*exp(0.295e-3*t)+2180-.36*H(t)+.6*(diff(R(t), t))

To solve, I could plug Eq1 into Eq2. However, maple will also solve this system without plugging Eq1 into Eq2. But, I see the answers are different. So, which method is correct?

This issue came to my attention when say Eq1 is zero. In this case, should I plug the equation in Eq2, or should I just make the last term in Eq2 equal to zero?

Thanks for your help!

-Steve

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