T1⋅V′(t)+V(t)=K⋅P(t)+Va

The purpose is to solve V(s) equation knowing that V(0)=Va. I followed all the transformation rules and I got the following result:

V(s)=K⋅P(s)s⋅(1+T1)+Vas

But, according to the correction, the expected result is :

V(s)=K⋅P(s)(1+s⋅T1)+Vas

What have I done wrong?