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Solve the differential equation d^2y/dx^2 + 6dy/dx +9y = 0?

2007-04-12 17:06:37 · 1 answers · asked by ziggy0729 1 in Science & Mathematics ➔ Mathematics

1 answers

The characteristic equation is
r^2+6r +9= 0 with roots
r=((-6+-sqrt(36-36)/2 =-3 (double root) so
y= C_1e^-3x +C_2 x*e^-3x Where c´s are arbitrary constants which depend of initial conditions

2007-04-12 17:24:38 · answer #1 · answered by santmann2002 7 · 0⤊ 0⤋

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