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] .. y+r) dya dx 6. +y²x dy dx = sin y, dy 7. dt = 1, dt dx= f(x), where dx° a(0y %3D d°y = y, 8. E-oa(x) [3xy' + xz" - yz = 0 y- z'+ y" 0 9. 10. (1 - x)y'- 4xy = cos x, d²y 11. x dx2 O + 4y = 0, |
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] .. y+r) dya dx 6. +y²x dy dx = sin y, dy 7. dt = 1, dt dx= f(x), where dx° a(0y %3D d°y = y, 8. E-oa(x) [3xy' + xz" - yz = 0 y- z'+ y" 0 9. 10. (1 - x)y'- 4xy = cos x, d²y 11. x dx2 O + 4y = 0, |
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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