Question

Solve the following differential equation:

\[\frac{ dy }{ dx } = \frac{ x+2y+1 }{ 2x+4y-1 }\]

a) \[x+2y-\frac{ 3 }{ 4 }\ln|4x+8y+1| = 2x + c\]
b) \[x + 2y - \ln|4x+8y+1| = 2x+c\]
c) \[4x+8y-\frac{ 4 }{ 3 }\ln|x+2y+1|=2x+c\]
d) \[4x+8y-\frac{ 2 }{ 3 }\ln|x+2y+1|=2x+c\]
e) None of the above.