calculus

d^2/dx^2(q(x))-5*(d/dx(q(x)))+6*q(x)=0

asked by Anonymous
  1. This is a homogeneous second order differential equation with constant coefficients.
    q"-5q'+6=0 ... (1)

    We solve the auxiliary equation:
    m²-5m+6=0
    (m-2)(m-3)=0
    m=2 or 3

    The solution to the homogeneous differential equation is thus:
    q= C1*e^(2) + C2*e^3

    posted by MathMate

Respond to this Question

First Name

Your Response