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: z'=4y-4z, y'=24y-4z >
> >
Lutik
, , .
z'=4y-4z
y'=24y-4z

y=(4z+z')/4, y'=(4z'+z'')/4
y'=24y-4z
(4z'+z'')/4=24*((4z+z')/4)-4z
(4z'+z'')/4=6*(4z+z')-4z

4z'+z''=96z+24z'-16z
z''-20z'-80z=0


z=e^(kx)
z'=k*(e^(kx))
z''=(k^2)*(e^(kx))

(k^2)*(e^kx)-20*k*(e^(kx))-80*e^(kx)=0

e^(kx)*(k^2-20k-80)=0
k^2-20k-80=0
D=400+320=720

k1=(20+125)/2=10+65
k2=10-65

z1=e^((10+65)x)
z2=e^((10-65)x)
:
z=1*e^((10+65)x)+2*e^((10-65)x)
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Lutik
!!! !
wils
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