Please help me to solve these equations:
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Well, the second equation is a Cauchy-Euler type if you multiply through by x. Or, since there's no y term, you can reduce the order.
The DE... (1)
... is of the type analysed in XVII° century by the Swiss mathematician Jacob Bernoulli. Deviding both terms of (1) by You obtain first... (2)
... and then setting You obtain... (3)
... which is linear in z...
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