# Math Help - differential equations( need help)

1. ## differential equations( need help)

for what values of r does the function e^rx satisfy the differential equation
y"+5y'-6y=0?

2. Originally Posted by pageraets
for what values of r does the function e^rx satisfy the differential equation
y"+5y'-6y=0?
try the solution $y = e^{rt}$

thus we obtain the characteristic equation:

$r^2 + 5r - 6 = 0$

now, simply solve for $r$