(Solved): explain why and how Select all of the following ODEs that are separable. Recall: an ODE is consider ...

explain why and how

Select all of the following ODEs that are separable. Recall: an ODE is considered separable if it is or can be expressed in the form \( N(y) y^{\prime}=M(x) \) where \( y \) is the unknown and \( x \) the independent variable. \[ y^{\prime}=y^{2}+x^{2} \] \[ y^{\prime}=-6 x y \] \[ y^{\prime}=f(x) \] \[ \sqrt{x} \frac{d y}{d x}=\cos ^{2}(y) \]