Use Separation of Variables to Solve the Initial Value Problem $\frac { d y } { d x } = \frac { y } { x ^ { 2 } + 1 }$

Essay

Use separation of variables to solve the initial value problem: $\frac { d y } { d x } = \frac { y } { x ^ { 2 } + 1 }$ , $y ( 1 ) = 1$