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July 2022 1 13 Report

Решить однородные дифференциальные уравнения с
постоянными коэффициентами
[tex]y''-10y'+16y=0[/tex]
[tex]y''+16y=0[/tex]

Answers & Comments

let5

Verified answer

$y''-10y'+16y=0 \\
\lambda^2-10\lambda+16=0\\
\lambda_1=2 \ \lambda_2=8\\
y=C_1e^{2x}+C_2e^{8x}
$

$y''+16y=0 \\
\lambda^2+16=0 \\
\lambda^2=-16 \\
\lambda_{1,2} =б4i\\
y=C_1Cos4x+C_2Sin4x$

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pryamaya ol ne perpendikulyarnaya osi oz ravnomerno vrashaetsya vokrug osi s postoyan

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pryamaya ol ne perpendikulyarnaya osi oz ravnomerno vrashaetsya vokrug osi s postoyan

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