Given the Differential Equation $y ^ { \prime } = y ^ { 2 } - t ^ { 2 } y ^ { 2 }$

True/False

Given the differential equation: $y ^ { \prime } = y ^ { 2 } - t ^ { 2 } y ^ { 2 }$ , is this the solution: $y = \frac { 1 } { \frac { 1 } { 3 } t ^ { 3 } - t + C } ?$