Предмет: Математика, автор: Prorock7

Решите пожалуйста, уравнение
4y''+5y'=0

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Автор ответа: ProGroomer

$4y''+5y'=0\\v=y'\\4v'+5v=0\\{dv\over dx}={-5v\over4}\\{dv\over v}={-5dx\over4}\\ \ln |v|={-5x\over4}+\ln|C| \\v=Ce^{-5x\over4}\\y'=Ce^{-5x\over4}\\y=C_1e^{-5x\over4}+C_2$

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﻿﻿Решите пожалуйста, уравнение 4y''+5y'=0

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Решите пожалуйста, уравнение
4y''+5y'=0