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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. lyou can use a table] 1. ý + P(x)y = Q(x), 3 + 6x = 0, dx2 dx 3. (9 + 5s*t3 = se2s,

1. Classify the following differential equations as to ODE/PDE, order, degree, linearity, coefficients type and homogeneity. State the independent variables and unknown functions. lyou can use a table] 1. ý + P(x)y = Q(x), 3 + 6x = 0, dx2 dx 3. (9 + 5s*t3 = se2s,

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.
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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] 1. ý + P(x)y = Q(x), 2. 4 4?y + 3 + 6x = 0, dx2 dx 3. ( + 5s*t3 = se2s, dt3 a?u(x.y) azu(x.y) ду? 4. = 0, ax2 3 5. + 1 = ( - x², [d²x %3D dt2 dt dx 6. dy + y2x sin y, dx 7. dt dy = 1, dt d@y d°y 8. E-0 a;(x) = f(x), where = y dx° $3xy' + xz"- yz = 0 9. y - z' + y" = 0 10. (1 – x)y' – 4xy = cos x, a²y 4 dy ) + 4y = 0, 12. t*y(5)- ty'" + 6y = 0, 11. x dx2 dx %3D d'u 13. dr2 du + u cos(r + 1), dr (). d?y 14. dx2 1+ %3D 15. uxx + Uyy = 0, d?R 16. dt2 k R2 17. (sin 0)y" (cos 8)y' = 2 exp(y), (1-)* + x = 0. 18. * -
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] 1. ý + P(x)y = Q(x), 2. 4 4?y + 3 + 6x = 0, dx2 dx 3. ( + 5s*t3 = se2s, dt3 a?u(x.y) azu(x.y) ду? 4. = 0, ax2 3 5. + 1 = ( - x², [d²x %3D dt2 dt dx 6. dy + y2x sin y, dx 7. dt dy = 1, dt d@y d°y 8. E-0 a;(x) = f(x), where = y dx° $3xy' + xz"- yz = 0 9. y - z' + y" = 0 10. (1 – x)y' – 4xy = cos x, a²y 4 dy ) + 4y = 0, 12. t*y(5)- ty'" + 6y = 0, 11. x dx2 dx %3D d'u 13. dr2 du + u cos(r + 1), dr (). d?y 14. dx2 1+ %3D 15. uxx + Uyy = 0, d?R 16. dt2 k R2 17. (sin 0)y" (cos 8)y' = 2 exp(y), (1-)* + x = 0. 18. * -
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