Question

finding general solution and finding theta (1)

Answer 1

\[d \theta / dt = \sqrt{\theta +1}\]

Answer 2

Multiply both sides by dt then integral both sides then use u-substitution on the right side of the equation.

Answer 3

2/3(\theta +1)^2/3 +C\]

Answer 4

\[\Large \frac{d\theta}{\sqrt{\theta+1}}=dt\]
use the substitution \[\Large u=\theta+1,\quad du=d\theta\]