# Thread: Help with differential equation

1. ## Help with differential equation

I am having trouble figuring out this problem. I've done differential equation problems before, but this stumps me.

The number of viruses in a bacterium satises the differential equation
dy/dt
= e^(2t)

Solve this equation and sketch some members of the family of solutions for 0 </=
t </=1.

What do all the curves have in common (consider their slopes at each point in time)?

2. Dear jyu484,

Because of the lack of time I attached this file instead of typing the solution. If you have any problems regarding this matter please feel free to ask me.

Hope this helps.

3. Originally Posted by jyu484
I am having trouble figuring out this problem. I've done differential equation problems before, but this stumps me.

The number of viruses in a bacterium satises the differential equation
dy/dt
= e^(2t)

Solve this equation and sketch some members of the family of solutions for 0 </=
t </=1.

What do all the curves have in common (consider their slopes at each point in time)?
Just integrate: $\displaystyle y= \int e^{2t}dt$.