PROBLEM SET 6.2 1-11 INITIAL VALUE PROBLEMS (IVPS) Solve the IVPS by the Laplace transform. If necessary, use partial fraction expansion as in Example 4 of the text. Show all details. 1. y' + 5.2y =...

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Extracted text: PROBLEM SET 6.2 1-11 INITIAL VALUE PROBLEMS (IVPS) Solve the IVPS by the Laplace transform. If necessary, use partial fraction expansion as in Example 4 of the text. Show all details. 1. y' + 5.2y = 19.4 sin 2t, y(0) = 0 2. y' + 2y = 0, y(0) = 1.5 3. у" — у' — бу %3D 0, у(0) %3D 11, У (0) %3D 28 4. y" + 9y = 10e, y(0) = 0, y'(0) = 0 5. y" – ày = 0, y(0) = 12, y'(0) = 6. у" - бу + 5у y'(0) = 6.2 7. y" + 7y' + 12y = 21e". y(0) = 3.5, y'(0) = - 10 8. y" – 4y' + 4y = 0, y(0) = 8.1, y'(0) = 3.9 9. y" – 4y' + 3y = 6t – 8, y(0) = 0, y'(0) = 0 10. y" + 0.04y = 0.0212, y(0) = -25, y'(0) = 0 %3D 11, y'(0) = 28 %3D %3D %3D %3D %3D у(0) %3D э.., 29 cos 2t, %3D %3D %3D %3D %3D %3D - %3D %3D 11. y" + 3y' + 2.25y = 9t° + 64, y(0) = 1, y'(0) = 31.5 %3D