(a) Explain the difference between a general solution to a differential equation and a particular solution.
(b) If
\[
y = Ce^{kx}
\]
is a solution to
\[
y' = 0.07y
\]
is it possible to find values for C or k?
If yes, find the values.
Construct a table as follows.
Equation | Features |
y' = x - y | y' is zero along y = x y' is one along y = x + 1 |
Do this for as many first order differential equations as you can.