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

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

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