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Some problems with DSolve and NDSolve


Hi MathGroupers,

I was somewhat surprised that DSolve is unable to solve the following
relatively innocuous system of 1st-order ODEs:

DSolve[{2 i1[t] + 2 (i1'[t] - i2'[t]) == 80 t E^(-2t), 4 i2[t] + 2 (i2'[t]
- i1'[t]) == 0, i1[0] == 0, i2[0] == 0}, {i1[t],i2[t]}, t]

The normally reliable NDSolve also falls down on the following:

NDSolve[{2 i1[t] + 2(i1'[t] - i2'[t]) == 80 t E^(-2t), 4 i2[t] + 2(i2'[t] -
i1'[t]) == 0, i1[0] == 0, i2[0] == 0}, {i1[t], i2[t]}, {t, 0, 1}]

What is wrong?

Thanks
Chee


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