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Find the solution of each differential equation. 1. f(t) = (3e²t + 4 cos(2t))² 2. y' + 2y = 3sin (2t) 3. 4. 5. 6. 7. 8. 9. dy = (xy + y²) y' = y². = 3t²+1 and y(1) 5. = - x-y+3 x-y ý - y = xe. x²y + xy + 2 = 0. 2-3- || 2xy' y³

Find the solution of each differential equation. 1. f(t) = (3e²t + 4 cos(2t))² 2. y' + 2y = 3sin (2t) 3. 4. 5. 6. 7. 8. 9. dy = (xy + y²) y' = y². = 3t²+1 and y(1) 5. = - x-y+3 x-y ý - y = xe. x²y + xy + 2 = 0. 2-3- || 2xy' y³

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find the solution of each differential equation. S 1. f(t) = (3e2t + 4 cos(2t))² 2. y' + 2y = 3sin (2t) 3. 4. 5. 6. 7. 8. 9. du e (xy + y²) y'= y². = 3t² + 1 and y(1) = 5. y' y = ²/2 - ² Y y' = = x-y+3 x-y ý - y = xẻ. 1 y² x²y + xy + 2 = 0. - 2 2xy' y³
Transcribed Image Text:Find the solution of each differential equation. S 1. f(t) = (3e2t + 4 cos(2t))² 2. y' + 2y = 3sin (2t) 3. 4. 5. 6. 7. 8. 9. du e (xy + y²) y'= y². = 3t² + 1 and y(1) = 5. y' y = ²/2 - ² Y y' = = x-y+3 x-y ý - y = xẻ. 1 y² x²y + xy + 2 = 0. - 2 2xy' y³
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