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cients type and homogeneity. State the in no 2. azu(x.y) azu(x.y) 4. – 0, ax2 ду?

cients type and homogeneity. State the in no 2. azu(x.y) azu(x.y) 4. – 0, ax2 ду?

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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1. Classify the following differential equations as to ODE/PDE, order, degree, linearity, coefficients type and homogeneity. State the independent variables and unknown functions. [you can use a table] 2. azu(x.y) azu(x,y) ду? 4. = 0, ax2 5. + 1 = () – x², + y2x [d²x Lat2 %3D dx 6. dy sin y, dx 7. dt dy = 1, dt d0y dx=f(x), where yz = 0 8. Eo a;(x): d°y = y, dx° S3xy' + xz" 9. y - z' + y" = 0' 10. (1 — х)у' — 4ху %3D cos x, + 4y = 0, 12. t*y(5) – ty" + 6y = 0, d?y 11. x dx2 4 dy %3D dx %3D d'u 13. dr2 du + u cos(r + 1), dr d²y 14. dx2 J1+ ()*, %3D 15. uxx = 0, Uyy d?R 16. dt2 k R2 17. (sin 0)y" – (cos 0)y' = 2 exp(y), 18. * - - (1-)*+x = 0. 1
Transcribed Image Text:1. Classify the following differential equations as to ODE/PDE, order, degree, linearity, coefficients type and homogeneity. State the independent variables and unknown functions. [you can use a table] 2. azu(x.y) azu(x,y) ду? 4. = 0, ax2 5. + 1 = () – x², + y2x [d²x Lat2 %3D dx 6. dy sin y, dx 7. dt dy = 1, dt d0y dx=f(x), where yz = 0 8. Eo a;(x): d°y = y, dx° S3xy' + xz" 9. y - z' + y" = 0' 10. (1 — х)у' — 4ху %3D cos x, + 4y = 0, 12. t*y(5) – ty" + 6y = 0, d?y 11. x dx2 4 dy %3D dx %3D d'u 13. dr2 du + u cos(r + 1), dr d²y 14. dx2 J1+ ()*, %3D 15. uxx = 0, Uyy d?R 16. dt2 k R2 17. (sin 0)y" – (cos 0)y' = 2 exp(y), 18. * - - (1-)*+x = 0. 1
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