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PeNdOs30
@PeNdOs30
July 2022
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РЕШИТЕ ПОЖАЛУЙСТА
дифференциальное уравнение
y''+9у=0
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Answers & Comments
Gerren
Y(x)=e^kx
y``*e^kx+9e^kx=0
k^2*e^2kx+9e^kx=0
e^kx(k^2+9)=0
k^2+9=0
k=3i
k=-3i
y1(x)=c1e^3i
y2=c2e^-3i
y=y1(x)+y2(x)=c1e^3i+c2e^-3i
2 votes
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Answers & Comments
y``*e^kx+9e^kx=0
k^2*e^2kx+9e^kx=0
e^kx(k^2+9)=0
k^2+9=0
k=3i
k=-3i
y1(x)=c1e^3i
y2=c2e^-3i
y=y1(x)+y2(x)=c1e^3i+c2e^-3i