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Consider the ODE dy 6xy + 5 (x² + y) = 0. dx (a) Show that the ODE is not exact. (b) Show that it has an integrating factor which is a function of y alone and is µ = y?/3. (c) Calculate an implicit expression for the solution to the ODE.

Consider the ODE dy 6xy + 5 (x² + y) = 0. dx (a) Show that the ODE is not exact. (b) Show that it has an integrating factor which is a function of y alone and is µ = y?/3. (c) Calculate an implicit expression for the solution to the ODE.

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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Consider the ODE dy 6xy + 5 (x² + y) = 0. dx (a) Show that the ODE is not exact. (b) Show that it has an integrating factor which is a function of y alone and is u = y?/3. (c) Calculate an implicit expression for the solution to the ODE.
Transcribed Image Text:Consider the ODE dy 6xy + 5 (x² + y) = 0. dx (a) Show that the ODE is not exact. (b) Show that it has an integrating factor which is a function of y alone and is u = y?/3. (c) Calculate an implicit expression for the solution to the ODE.
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