# Differential Equations

### Example 1

For the differential equation, find (a) one solution and then (b) all solutions.

*y* ' = 4*x*^{3}

### Example 2

For the differential equation, find (a) one solution and then (b) all solutions.

*y*' = *x*^{5}

### Example 3

For the differential equation, find (a) one solution and then (b) all solutions.

### Example 4

For the differential equation, find (a) one solution and then (b) all solutions.

*xy*' = 4*x*

### Example 5

For the differential equation, find (a) one solution and then (b) all solutions.

*y*" = -*x*^{-2}