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(a) Consider the differential equation dy x² cosh(x) dx - 2y² = x² cosh(x) sinh(x) and let f(x) = x²cosh(x). Select the correct options and fill in the answer box. dy The differential equation x cos(x) dx - 2y² = x'cosh(x) is a first order separable ODE. When we substitute y = f(x) we have x'cosh(x)-2y² = is not a solution to the ODE. . Therefore, y = f(x)

(a) Consider the differential equation dy x² cosh(x) dx - 2y² = x² cosh(x) sinh(x) and let f(x) = x²cosh(x). Select the correct options and fill in the answer box. dy The differential equation x cos(x) dx - 2y² = x'cosh(x) is a first order separable ODE. When we substitute y = f(x) we have x'cosh(x)-2y² = is not a solution to the ODE. . Therefore, y = f(x)

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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(a) Consider the differential equation dy x³ cosh(x) -2y = x cosh(x) sinh(x) dx and let f(x) = x²cosh(x). Select the correct options and fill in the answer box. dy The differential equation x cos(x) dx - 2y² = x³cosh(x) is a first order separable ODE. When we substitute y = f(x) we have x³cosh(x) dx - 2y² = is not a solution to the ODE. . Therefore, y = f(x)
Transcribed Image Text:(a) Consider the differential equation dy x³ cosh(x) -2y = x cosh(x) sinh(x) dx and let f(x) = x²cosh(x). Select the correct options and fill in the answer box. dy The differential equation x cos(x) dx - 2y² = x³cosh(x) is a first order separable ODE. When we substitute y = f(x) we have x³cosh(x) dx - 2y² = is not a solution to the ODE. . Therefore, y = f(x)
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