MATH 240 Final: MATH 240 KSU Final Exam f97

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You may use a calculator and one sheet of notes. (1. ) Solve the initial value problem y + 8y + 12y = 0 y(0) = 3 y (0) = 14 page 2 of 15 pages (2. ) Solve the initial value problem x + 4x + 8x = (t) x(0) = 0 x (0) = 0 page 3 of 15 pages (3. ) Find the general solution to x2y + 5xy + y = 0 page 4 of 15 pages (4. ) Find the general solution to y + 7y + 12y = cos(x) page 5 of 15 pages (5. ) Find the general solution to dy dx x 3y. 3x + 2y page 6 of 15 pages (6. ) Solve the initial value problem y + xy + x2y = 0 y(0) = 1 y (0) = 1 page 7 of 15 pages (7. ) Find and classify the singular points of (x4+6x3+9x2)y +(x2 9)y +4xy = 0 page 8 of 15 pages (9. )