The volume of water in a tank, $V$, changes at a rate INVERSELY proportional to $V$, with constant of proportionality $k$ and $t$ in minutes. Which differential equation says this?

If $\frac{dy}{dx}=6x^2-2$ and $y(2)=-1$, find $y$ as a function of $x$.

If $\frac{dy}{dx}=9x^2-1$ and $y(2)=6$, find $y$ as a function of $x$.

The amount in a town's population satisfies $\frac{dy}{dt}=0.03y$ with $y(0)=250$ and $t$ in years. Which is $y(t)$?

The figure shows the slope field for $\frac{dy}{dx}=2-y$. The solution passing through $\left(0,3\right)$ behaves how as $x$ increases?

Solve $\frac{dy}{dx}=6xy$ with $y(0)=8$, giving $y$ explicitly.

Solve $\frac{dy}{dx}=2xy$ with $y(0)=5$, giving $y$ explicitly.

Find the general solution of $\frac{dy}{dx}=2y$, solved for $y$.

The amount in a bacteria culture satisfies $\frac{dy}{dt}=0.05y$ with $y(0)=200$ and $t$ in hours. Which is $y(t)$?

If $\frac{dy}{dx}=3x^2-2$ and $y(1)=-4$, find $y$ as a function of $x$.

Which function satisfies $\frac{dy}{dx}=6y$?

Find the general solution of $\frac{dy}{dx}=\frac{6x^4}{y}$ in IMPLICIT form.

The figure shows the slope field for $\frac{dy}{dx}=y\left(2-y\right)$. The solution passing through $\left(0,1\right)$ behaves how as $x$ increases?

The amount in a bacteria culture satisfies $\frac{dy}{dt}=0.04y$ with $y(0)=200$ and $t$ in hours. Which is $y(t)$?

A bacteria culture grows continuously and doubles every $2$ hours. If it starts at $250$ cells, how many cells are there after $6$ hours?

A bacteria culture grows continuously and doubles every $4$ hours. If it starts at $500$ cells, how many cells are there after $12$ hours?

The figure shows the slope field for $\frac{dy}{dx}=1-y$. The solution passing through $\left(0,-1\right)$ behaves how as $x$ increases?

The figure shows the slope field for $\frac{dy}{dx}=3-y$. The solution passing through $\left(0,1\right)$ behaves how as $x$ increases?

If $\frac{dy}{dx}=9x^2-9$ and $y(1)=3$, find $y$ as a function of $x$.

Find the general solution of $\frac{dy}{dx}=\frac{2x}{y}$ in IMPLICIT form.

A bacteria culture grows continuously and doubles every $4$ hours. If it starts at $300$ cells, how many cells are there after $12$ hours?

Which function satisfies $\frac{dy}{dx}=-5y$?

Find the general solution of $\frac{dy}{dx}=\frac{5x^2}{y}$ in IMPLICIT form.

Solve $\frac{dy}{dx}=4xy$ with $y(0)=8$, giving $y$ explicitly.