Do these equations have two general solutions!?(adsbygoogle = window.adsbygoogle || []).push({});

e.g. z_x + z_y -z = 0

Using the method of characteristics

a=1

b=1

c=-1

d=0

Therefore dx/1=dy/1=dz/z

Taking first two terms: x = y + A

*Taking last two terms: z = Be^y

So general solution is z = f(x-y)e^y

BUT if we took first and last terms: z=Be^x

z=f(x-y)e^x.......

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# First order linear partial differential equation

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