Chapter 9.3, Problem 41E

(a)

To determine

To explain: Whether the given statement “The equation $u^{\prime }\left(x\right)={\left(x^2{u}^7\right)}^{-1}$ is separable” is true or not.

(b)

To determine

To explain: Whether the given statement “The equation $y^{\prime }\left(t\right)=\frac{t}{y^7+10y^4}$ is separable” is true or not.

(c)

To determine

To explain: Whether the given statement “The equation $yy\text{'}\left(x\right)=x{e}^{-x}$ is separable” is true or not.