3) Solve the initial value problem y" + y = u(t - following steps a) find L(y) and b) the inverse o and applying Table 6.1 and t-shift theorem. for step function and t-shifting p. 250, 251)

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Chapter2: Second-order Linear Odes
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3) Solve the initial value problem y” + y = u(t−2π), y(0) = 0, y'(0) = 1 by performing the
following steps a) find L(y) and b) the inverse of L(y) by breaking it down into partial fractions
and applying Table 6.1 and t-shift theorem.
(see lecture 12 p. 15, 16; More examples
for step function and t-shifting p. 250, 251)
Transcribed Image Text:3) Solve the initial value problem y” + y = u(t−2π), y(0) = 0, y'(0) = 1 by performing the following steps a) find L(y) and b) the inverse of L(y) by breaking it down into partial fractions and applying Table 6.1 and t-shift theorem. (see lecture 12 p. 15, 16; More examples for step function and t-shifting p. 250, 251)
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