Solve this differential equation:
d
y
d
t
=
0.01
y
(
1
−
y
100
)
\displaystyle \frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{t}\right.}}}={0.01}{y}{\left({1}-\frac{{y}}{{100}}\right)}
d
t
d
y
=
0.01
y
(
1
−
100
y
)
y
(
0
)
=
5
\displaystyle {y}{\left({0}\right)}={5}
y
(
0
)
=
5
y(t)
=
Preview
Question 6
Submit
Try a similar question
License
[more..]
\displaystyle
Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question