Caleb E.

Find the Jacobian $\partial(x, y) / \partial(u, v)$ of the transformation
\begin{equation}
\begin{array}{l}{\text { a. } x=u \cos v, \quad y=u \sin v} \\ {\text { b. } x=u \sin v, \quad y=u \cos v.}\end{array}
\end{equation}

In Exercises $1-14,$ find the general solution of the differential equation.
$$
\frac{d y}{d x}=\frac{x}{y}
$$

In Exercises $1-14,$ find the general solution of the differential equation.
$$
\frac{d y}{d x}=\frac{3 x^{2}}{y^{2}}
$$

In Exercises $1-14,$ find the general solution of the differential equation.
$$
\frac{d y}{d x}=\frac{x^{2}-3}{6 y^{2}}
$$

Identify each as an expression or an equation. $$7 t-2=11$$

Identify each as an expression or an equation. $$\frac{3}{4} k+5(k-6)=2$$