# Help with differential equation

• November 24th 2009, 08:22 PM
jyu484
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)?
• December 28th 2009, 04:04 PM
Sudharaka
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.
• December 29th 2009, 03:59 AM
HallsofIvy
Quote:

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: $y= \int e^{2t}dt$.