Mathematics
Mathematics, 29.07.2019 16:10, bncook

Given that y(t)=c1e6t+c2e−6ty(t)=c1e6t+c2e−6t is a solution to the differential equation y′′−36y=0y′′−36y=0, where c1c1 and c2c2 are arbitrary constants, find a function y(t)y(t) that satisfies the conditions y′′−36y=0,y′′−36y=0, y(0)=9,y(0)=9, limt→+∞y(t)=0.limt→+∞y(t)=0.

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Given that y(t)=c1e6t+c2e−6ty(t)=c1e6t+c2e−6t is a solution to the differential equation y′′−36y=0y′...

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