Could somebody please check these for me?

Question

Solve the differential equation with the given initial solution.

1. (dy/dx)=(-y/3)
for y(0)=10

my answer was y=10e^(-x/3)

2. dP/dt=P+4
for P(0)=100

my answer was P=104(e^t)-4

3. dz/dt=te^z
for z(0)=0

my answer was z=-ln(-.5(t^2)+1)
THANKS