Differential Equations a) Transform the equation into a system of first order equations: y"+5y'+2y=3sin(t) b) Transform the system with the initial conditions into a single second order equation: x1'= 3x1-2x2, x1(0)=3 x2'=2x1-2x2, x2(0)=1/2

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Chapter2: Second-order Linear Odes
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Differential Equations

a) Transform the equation into a system of first order equations:

y"+5y'+2y=3sin(t)

b) Transform the system with the initial conditions into a single second order equation:

x1'= 3x1-2x2, x1(0)=3

x2'=2x1-2x2, x2(0)=1/2

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