Solve $\frac{dy}{dx}=10xy$ with $y(0)=2$, giving $y$ explicitly.

Solve $\frac{dy}{dx}=8xy$ with $y(0)=9$, giving $y$ explicitly.

A particle has $\frac{d^{2}y}{d{t}^2}=6t$, with $\frac{dy}{dt}(0)=-9$ and $y(0)=8$. Find $y(t)$.

A particle has $\frac{d^{2}y}{d{t}^2}=18t$, with $\frac{dy}{dt}(0)=4$ and $y(0)=6$. Find $y(t)$.

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

If $\frac{dy}{dx}=\frac{x}{y}$ with $y(0)=8$ and $y>0$, what is $y(15)$?

Solve $\frac{dy}{dx}=10xy$ with $y(0)=9$, giving $y$ explicitly.

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

Solve $\frac{dy}{dx}=8xy$ with $y(0)=2$, giving $y$ explicitly.

A particle has $\frac{d^{2}y}{d{t}^2}=18t$, with $\frac{dy}{dt}(0)=1$ and $y(0)=6$. Find $y(t)$.

If $\frac{dy}{dx}=3x^2-3$ and $y(2)=-6$, find $y$ as a function of $x$.

If $\frac{dy}{dx}=9x^2+5$ and $y(1)=2$, find $y$ as a function of $x$.

Solve $\frac{dy}{dx}=2xy$ with $y(0)=6$, giving $y$ explicitly.

If $\frac{dy}{dx}=6x^2+2$ and $y(3)=-8$, find $y$ as a function of $x$.

A particle has $\frac{d^{2}y}{d{t}^2}=6t$, with $\frac{dy}{dt}(0)=-2$ and $y(0)=-5$. Find $y(t)$.

Solve $\frac{dy}{dx}=6xy$ with $y(0)=2$, giving $y$ explicitly.

If $\frac{dy}{dx}=\frac{x}{y}$ with $y(0)=12$ and $y>0$, what is $y(9)$?

If $\frac{dy}{dx}=\frac{x}{y}$ with $y(0)=15$ and $y>0$, what is $y(8)$?

A particle has $\frac{d^{2}y}{d{t}^2}=18t$, with $\frac{dy}{dt}(0)=2$ and $y(0)=1$. Find $y(t)$.

If $\frac{dy}{dx}=9x^2-6$ and $y(3)=-8$, find $y$ as a function of $x$.

Solve $\frac{dy}{dx}=4xy$ with $y(0)=3$, giving $y$ explicitly.

If $\frac{dy}{dx}=12x^2+4$ and $y(3)=8$, find $y$ as a function of $x$.

Solve $\frac{dy}{dx}=8xy$ with $y(0)=7$, giving $y$ explicitly.

If $\frac{dy}{dx}=\frac{x}{y}$ with $y(0)=3$ and $y>0$, what is $y(4)$?

If $\frac{dy}{dx}=\frac{x}{y}$ with $y(0)=5$ and $y>0$, what is $y(12)$?

If $\frac{dy}{dx}=\frac{x}{y}$ with $y(0)=7$ and $y>0$, what is $y(24)$?

If $\frac{dy}{dx}=6x^2-4$ and $y(1)=8$, find $y$ as a function of $x$.

If $\frac{dy}{dx}=\frac{x}{y}$ with $y(0)=4$ and $y>0$, what is $y(3)$?

Solve $\frac{dy}{dx}=2xy$ with $y(0)=8$, giving $y$ explicitly.

If $\frac{dy}{dx}=12x^2+5$ and $y(2)=-6$, find $y$ as a function of $x$.