The general solution for the differential equation is

Question

The general solution for the differential equation  is

Quizplus · Accepted Answer

The characteristic equation of the given differential equation is:
r^2 - 11r + 30 = 0
Factoring this equation, we get:
(r-5)(r-6) = 0
Thus, the roots of the characteristic equation are:
r = 5 and r = 6
Therefore, the general solution of the given differential equation is:
y = c1*e^(5x) + c2*e^(6x) , where c1,c2 belong to R .

Option B is the correct choice as it matches the required general solution.

The General Solution for the Differential Equation Is