Find the general solution of the given differential equation. y' + 6x5y = x5 y(x) = Ce 6 + 6 Give the largest interval over which the general solution is defined. (Think about the implications of any singular points. Enter your answer using interval notation.) (-∞0,00) Determine whether there are any transient terms in the general solution. (Enter the transient terms as a comma-separated list; if there are none, enter NONE.) X

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2.3.9

Find the general solution of the given differential equation.
y' + 6x5y = x5
y(x) = Ce
+
1
6
Give the largest interval over which the general solution is defined. (Think about the implications of any singular points. Enter
your answer using interval notation.)
(-∞,∞)
Determine whether there are any transient terms in the general solution. (Enter the transient terms as a comma-separated
list; if there are none, enter NONE.)
(e-x6)
Transcribed Image Text:Find the general solution of the given differential equation. y' + 6x5y = x5 y(x) = Ce + 1 6 Give the largest interval over which the general solution is defined. (Think about the implications of any singular points. Enter your answer using interval notation.) (-∞,∞) Determine whether there are any transient terms in the general solution. (Enter the transient terms as a comma-separated list; if there are none, enter NONE.) (e-x6)
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