first order differential equation I needed help with this Differential Equation, below:
$$dy/dt  = t + y, \text{ with } y(0) = -1$$
I tried $dy/(t+y) = dt$ and integrated both sides, but it looks like the $u$-substitution does not work out. 

This is a first order linear differential equation so general solution is given by :
$$y=\frac{\int u(t)\cdot t \,dt +C}{u(t)} ~\text{where}~ u(t)=e^{-\int dt}$$
