Problem

Consider the linear differential equation The natural first guess for a particu...

Consider the linear differential equation

The natural first guess for a particular solution of this equation is y(t) = ae⁻^t, but this guess does not yield a solution because it is a solution of the associated homogeneous equation.

Guess a power series solution y(t) = a₀ +a₁t +a₂t² +a₃t³ +. . . and use the initial condition y(0) = a₀ = 0 to find a particular solution. Check that this series is the power series for te⁻^t .

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Solutions For Problems in Chapter B

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