(Solved): Proceed as in this example and find an explicit solution of the given initial-value problem. \[ \fr ...

Proceed as in this example and find an explicit solution of the given initial-value problem. \[ \frac{d y}{d x}=y^{2} \sin \left(x^{2}\right), \quad y(-4)=\frac{1}{6} \] \( \frac{1}{6}-\int_{-4}^{x} \sin \left(t^{2}\right) d t \) \[ \left[\frac{1}{36}-\int_{-4}^{x} \sin \left(t^{2}\right) d t\right]^{-1} \] \( 36-\int_{-4}^{x} \sin \left(t^{2}\right) d t \) \[ \left[6-\int_{-4}^{x} \sin \left(t^{2}\right) d t\right]^{-1} \] \[ \left[36-\int_{-4}^{x} \sin \left(t^{2}\right) d t\right]^{-1} \]