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Differential EquationsMediumLaplace Transforms

Laplace Transforms · Medium problem

Solve y′′+5y′+4y=0y''+5y'+4y=0, y(0)=2y(0)=2, y′(0)=−17y'(0)=-17 using the Laplace transform. The solution is a combination of two decaying exponentials. Find the time at which the two terms have equal magnitude (beyond which the slower-decaying term dominates).