For the differential equation x" + 4x = 0, find the solution to the IVP if the two-parameter family of solutions and the initial conditions are as follows: x = C₁ cos(2t) + C₂ sin(2t) x(0) = 4, x'(0) = 4

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Chapter2: Second-order Linear Odes
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For the differential equation x" + 4x = 0, find the solution to the IVP if the two-parameter family of
solutions and the initial conditions are as follows:
x = C₁ cos(2t) + C₂ sin(2t)
x(0) = 4, x'(0) = 4
Transcribed Image Text:For the differential equation x" + 4x = 0, find the solution to the IVP if the two-parameter family of solutions and the initial conditions are as follows: x = C₁ cos(2t) + C₂ sin(2t) x(0) = 4, x'(0) = 4
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