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Classify the following DEs as linear homogeneous, linear nonhomogeneous or nonlinear differential equations. Also state their order and name the dependent and independent variables. a. C. dz + (sin(y))- + (sin(y) + cos(y))z - e²y = 0. dy 4 4x cos(t) = -2 cos(t). 2 sin(y). + 2x(r) - 3f(r) = 0 where f(r) is a function of r. dr d. Y d³z dy³ d²x b. 3- dx +3 dt² dt d² s dy² d³ s dy³ dx +4 2s ds dy

Classify the following DEs as linear homogeneous, linear nonhomogeneous or nonlinear differential equations. Also state their order and name the dependent and independent variables. a. C. dz + (sin(y))- + (sin(y) + cos(y))z - e²y = 0. dy 4 4x cos(t) = -2 cos(t). 2 sin(y). + 2x(r) - 3f(r) = 0 where f(r) is a function of r. dr d. Y d³z dy³ d²x b. 3- dx +3 dt² dt d² s dy² d³ s dy³ dx +4 2s ds dy

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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Classify the following DEs as linear homogeneous, linear nonhomogeneous or nonlinear differential equations. Also state their order and name the dependent and independent variables. a. b. C. d. y ď³ z dy³ d²x 3 dt² d³ s dy³ dx dz + (sin(y)) + (sin(y) + cos(y))z - e²y = 0. dy dx dt d² s dy² +3 +4 4 cos(t) = -2 cos(t). 2 ds 2 - 2s()² = sin(y). dy 4x + 2x(r) — 3f (r) 0 where f(r) is a function of r. dr
Transcribed Image Text:Classify the following DEs as linear homogeneous, linear nonhomogeneous or nonlinear differential equations. Also state their order and name the dependent and independent variables. a. b. C. d. y ď³ z dy³ d²x 3 dt² d³ s dy³ dx dz + (sin(y)) + (sin(y) + cos(y))z - e²y = 0. dy dx dt d² s dy² +3 +4 4 cos(t) = -2 cos(t). 2 ds 2 - 2s()² = sin(y). dy 4x + 2x(r) — 3f (r) 0 where f(r) is a function of r. dr
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