Given the Differential Equation with the Given Initial Condition $y ^ { \prime } = \sqrt { \frac { t + 1 } { y } } ; y ( 0 ) = 4$

True/False

Given the differential equation with the given initial condition: $y ^ { \prime } = \sqrt { \frac { t + 1 } { y } } ; y ( 0 ) = 4$ is this the solution $y = \left( ( t + 1 ) ^ { 3 / 2 } + 4 \right) ^ { 2 / 3 } \text { ? }$