Here's the question you clicked on:
swin2013
finding general solution and finding theta (1)
\[d \theta / dt = \sqrt{\theta +1}\]
Multiply both sides by dt then integral both sides then use u-substitution on the right side of the equation.
2/3(\theta +1)^2/3 +C\]
\[\Large \frac{d\theta}{\sqrt{\theta+1}}=dt\] use the substitution \[\Large u=\theta+1,\quad du=d\theta\]