Question

Find the general solution to the homogeneous differential equation:

Answer 1

Answer:

$r_{1} = -6, r_{2} = -4$

Step-by-step explanation:

$r_{1}$ and $r_{2}$ are the eingenvalues of the equation, that is

the values of r when

$r^{2} + 10r + 24 = 0$

Using r = (dy/dt).

They are

$r = -6, r = -4$

r2 is larger than r1, so

$r_{1} = -6, r_{2} = -4$