how to test solution

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Dr Huang

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Jul 1, 2022, 2:56:38 AM7/1/22
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D[y[x, t], t] -D[y[x, t], x] Exp[y[x,t]] == 0
wolfram gives
y(x, t) = c_1 (t e^y(x, t) + x)
how to know if it is right or not? what is yours?

Dr Huang (DrHuang.com)

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Oct 29, 2022, 5:59:32 PM10/29/22
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wolfram always give only one constant c1 in all solution. Is it bug? it should be at least 2 constants.

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