Given the Differential Equation with the Given Initial Condition $\frac { d y } { d t } = 3 t ^ { 2 } + \sin t ; y ( 0 ) = 2$

True/False

Given the differential equation with the given initial condition: $\frac { d y } { d t } = 3 t ^ { 2 } + \sin t ; y ( 0 ) = 2$ is this the solution $y = t ^ { 3 } - \cos t + 1 ?$