$\"\"$

\

(a)

\

The differential equation is $\"\"$ .

\

Rewrite the equation.

\

$\"\"$

\

Integrate on each side.

\

$\"\"$ .

\

Apply power rule of integrals: $\"\"$ .

\

Apply integral of inverse trignometryic function: $\"\"$ .

\

$\"\"$

\

$\"\"$ for interval $\"\"$ .

\

$\"\"$

\

(b)

\

The differential equation $\"\"$ and intial value $\"\"$ .

\

The solution of the differential equation is $\"\"$ .

\

Substitute $\"\"$ . \ \

\

$\"\"$

\

Substitute $\"\"$ in $\"\"$

\

$\"\"$

\

$\"\"$ for interval $\"\"$

\

Graph:

\

Graph the function $\"\"$ in the interval $\"\"$ .

\

$\"\"$

\

$\"\"$

\

(c)

\

The differential equation $\"\"$ and intial value $\"\"$ .

\

The solution of the differential equation is $\"\"$ .

\

Substitute $\"\"$ .

\

$\"\"$

\

No solution.

\

$\"\"$

\

(a) $\"\"$ for interval $\"\"$ .

\

(b) $\"\"$ for interval $\"\"$ .

\

Graph of the function $\"\"$ in the interval $\"\"$ .

\

$\"\"$

\

(c) No solution.