Solve the initial value problem y(t) = c₁cost + c₂sint y(t) = = 8cost - 16sint y″ + y = 0, y(7) = 8, y'(π/3) = − 16 - y(t) = -16cost + 8sint Oy(t) = √√3cost + √√3sint y(t) = (4 + 8√3) cost + (4√3 - 8) sint Oy(t) = √3cost + 8√//3sint y(t) = cost + sint y(t) = √√3cost+ (√3+8) sint y(t) = e¹ - et

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Q: titution: 4 11 8 }]ÿ. y(0) = [¯²]. etermined coefficients: 12 -1 · [¹² −¹5]y+[e²].

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A: According to guidelines we solve only one question. Thanku

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A: Please refer to the image below

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