Menu Close

Category: Differential Equation

y-2y-5y-3sin-4t-

Question Number 91287 by jagoll last updated on 29/Apr/20 $${y}''+\mathrm{2}{y}'+\mathrm{5}{y}=\mathrm{3sin}\:\mathrm{4}{t} \\ $$ Answered by niroj last updated on 29/Apr/20 $$\:\:\:\mathrm{y}^{''} +\mathrm{2y}'+\mathrm{5y}=\:\mathrm{3sin}\:\mathrm{4t} \\ $$$$\:\:\left(\mathrm{D}^{\mathrm{2}} +\mathrm{2D}+\mathrm{5}\right)\mathrm{y}=\:\mathrm{3sin}\:\mathrm{4t}\:\: \\…

D-2-4-y-sin-2x-

Question Number 91272 by jagoll last updated on 29/Apr/20 $$\left({D}^{\mathrm{2}} +\mathrm{4}\right){y}\:=\:\mathrm{sin}\:\mathrm{2}{x} \\ $$ Answered by niroj last updated on 29/Apr/20 $$\:\left(\mathrm{D}^{\mathrm{2}} +\mathrm{4}\right)\mathrm{y}=\:\mathrm{sin2x} \\ $$$$\:\mathrm{A}.\mathrm{E}.,\:\:\mathrm{m}^{\mathrm{2}} +\mathrm{4}=\mathrm{0}…