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Solve the initial value problems in Exercises $41-44$ for $x$ as a function of $t .$ $$ \left(t^{2}+2 t\right) \frac{d x}{d t}=2 x+2 \quad(t, x>0), \quad x(1)=...

Question

Solve the initial value problems in Exercises $41-44$ for $x$ as a function of $t .$ $$ \left(t^{2}+2 t\right) \frac{d x}{d t}=2 x+2 \quad(t, x>0), \quad x(1)=1 $$

Solve the initial value problems in Exercises $41-44$ for $x$ as a function of $t .$ $$ \left(t^{2}+2 t\right) \frac{d x}{d t}=2 x+2 \quad(t, x>0), \quad x(1)=1 $$



Answers

Solve the initial value problems in Exercises $41-44$ for $x$ as a function of $t .$
$$
\left(t^{2}+2 t\right) \frac{d x}{d t}=2 x+2 \quad(t, x>0), \quad x(1)=1
$$


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