Question

Separable Equations
\[\frac{dz}{dt}+e^{t+z}=0\]
\[-\int e^{t}dt=\int\frac{dz}{e^{z}}\]
\[\ln e^{t}=\ln e^{-z} +C\]
t=-z +C?

Answer 1

No, that looks fine, I meant that ln(-e^t)=/=-t but ln(e^(-t))==-t

Answer 2

@mukushla any particular reason why the +C is on the right side?

Answer 3

no any particular reason

Answer 4

ok thanks