Each of these ODEs is linear and homogeneous with constant coefficients, so we only need to find the roots to their respective characteristic equations.
(a) The characteristic equation for

is

which arises from the ansatz
.
The characteristic roots are
and
. Then the general solution is

where
are arbitrary constants.
(b) The characteristic equation here is

with a root at
of multiplicity 2. Then the general solution is

(c) The characteristic equation is

with roots at
, where
. Then the general solution is

Recall Euler's identity,

Then we can rewrite the solution as

or even more simply as

The dependent clause of a sentence is a part of a sentence before or after a comma that can't stand alone. the dependent clauses are: " After he was injured by a stray ball," and "Though he hated Math,"
I got the same answer as you so try picking the answer that is closest to the answer you got sorry i couldn't help much
Answer: it is a plant-like organisms like algae
Explanation: