Solve the Differential Equation with the Given Initial Condition $y ^ { \prime } = t y , y ( 0 ) = - 1$

Multiple Choice

Solve the differential equation with the given initial condition.
- $y ^ { \prime } = t y , y ( 0 ) = - 1$

A) y = $e ^ { t + 1 }$
B) y = - $\mathrm { e } t^ { 2 } / 2$
C) y = $\frac { t ^ { 2 } } { 2 }$
D) y = -1 + $\mathrm { e } t^ { 2 } / 2$