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7. vdx + (2x+1-vx)dv = 0 2y x² ox

7. vdx + (2x+1-vx)dv = 0 2y x² ox

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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LINEAR DIFFERENTIAL EQUATIONS Find the general or particular solutions of the following DE: 1. xy' + y = x - 3x 2. x²y' - 2xy = x + 3; y = 2 when x = 1 3. (sin20 - 2pcos0)d0 = 2dp 4. ydx - 4xdy = y6dy ; x = 4 when y = 1 dx dt 5. t = 6te²t + x(2t - 1) 6. (y-x + xycotx)dx + xdy = 0 7. vdx + (2x + 1 - vx)dv = 0 2y 8. y' — ² = x²ex ; x = 1 when y = 0 - x ds S 9. + = = cost + dt t 10. nx dy dx sin t t + 2y = xyn+1
Transcribed Image Text:LINEAR DIFFERENTIAL EQUATIONS Find the general or particular solutions of the following DE: 1. xy' + y = x - 3x 2. x²y' - 2xy = x + 3; y = 2 when x = 1 3. (sin20 - 2pcos0)d0 = 2dp 4. ydx - 4xdy = y6dy ; x = 4 when y = 1 dx dt 5. t = 6te²t + x(2t - 1) 6. (y-x + xycotx)dx + xdy = 0 7. vdx + (2x + 1 - vx)dv = 0 2y 8. y' — ² = x²ex ; x = 1 when y = 0 - x ds S 9. + = = cost + dt t 10. nx dy dx sin t t + 2y = xyn+1
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