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2d xm2dtx=dxdt2d x2dt+=Aedx+ b + kxdt−βt= −βAeβω Ae1−βtcos2= β Ae−βt= 0( ω t + ϕ )1cos02d x dx 2+ 2β+ ω20x =dt dtω 0=( )−βtω t + ϕ −ωAe ( ω t + ϕ )km1 0 1sin10ω( )−βtω t + ϕ + βω Ae sin( ω t + ϕ )( )2 −βtω t + ϕ −ωAe cos( ω t + ϕ )0β =b2m2 21= ω0− β(2 2)−βt( )−βtβ −ωAe cos ω t + ϕ + 2βωAe sin( ω t + ϕ )1−βtsincos110101011110=10+02d x2dt+dxβdtω(2 2 2)−βt−ω− β + ω Ae cos( ω t + ϕ ) = 022 +0x =101 0

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