See attachment
Note : in the attachment I wrote the soultion as
c1e^(x) +c2xe^(x) +e^(x)[ln(e^x+1)-x]
however the -x e^(x) can be absorbed into c2xe^(x) so it should read:
y = c1e^x +c2xe^x + e^(x)ln(e^x+1)
See attachment
Note : in the attachment I wrote the soultion as
c1e^(x) +c2xe^(x) +e^(x)[ln(e^x+1)-x]
however the -x e^(x) can be absorbed into c2xe^(x) so it should read:
y = c1e^x +c2xe^x + e^(x)ln(e^x+1)