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Q2. Classify the following DEs as linear homogeneous, linear nonhomogeneous or nonlinear differential equations. Also state their order and name the dependent and independent variables. d³z dz a. Y + (sin(y)) dy + (sin(y) + cos(y))z - e²y = 0. dy³ b. 3 +3 C. dx dt² dt d²s dy² d. d³ s dy³ dx +4 4x − 4 cos(t) = −2 cos(t). (ds)² = sin(y). + 2x(r) — 3f (r) = 0 where f(r) is a function of r. dr

Q2. Classify the following DEs as linear homogeneous, linear nonhomogeneous or nonlinear differential equations. Also state their order and name the dependent and independent variables. d³z dz a. Y + (sin(y)) dy + (sin(y) + cos(y))z - e²y = 0. dy³ b. 3 +3 C. dx dt² dt d²s dy² d. d³ s dy³ dx +4 4x − 4 cos(t) = −2 cos(t). (ds)² = sin(y). + 2x(r) — 3f (r) = 0 where f(r) is a function of r. dr

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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Q2. 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. dz Y + (sin(y)) dy d³ z dy³ dx dt² dt d³s d²s +4 dy² 3 +3 dy³ dx + (sin(y) + cos(y))z - e²y = 0. 4x − 4 cos(t) = −2 cos(t). (ds)² = sin(y). + 2x(r) — 3f (r) = 0 where f(r) is a function of r. dr
Transcribed Image Text:Q2. 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. dz Y + (sin(y)) dy d³ z dy³ dx dt² dt d³s d²s +4 dy² 3 +3 dy³ dx + (sin(y) + cos(y))z - e²y = 0. 4x − 4 cos(t) = −2 cos(t). (ds)² = sin(y). + 2x(r) — 3f (r) = 0 where f(r) is a function of r. dr
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