cos x + x. d'y y=x° + 72x d'y +y-x" 72x because when tho socond deuvative S substituted for dx he tunction y= cos x+x a solution to the differential oquation and cos x+x" is subctitutod for y, both sides of tho difforential equation dx equivalent are not are
cos x + x. d'y y=x° + 72x d'y +y-x" 72x because when tho socond deuvative S substituted for dx he tunction y= cos x+x a solution to the differential oquation and cos x+x" is subctitutod for y, both sides of tho difforential equation dx equivalent are not are
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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Transcribed Image Text:Determine whether the given function is a solution to the given difforential equation.
+y=x° + 72x
dx²
y = cos x+ x
dy
and cos x + X" is substituted for y, both sides of the differental equation
dx
The function y = cos x+x
a solution to the differential oquation
+y =x"+ 72x, because when the second detivative is substituted for
V equivalent
are not
are
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