sinhx Cosydx=coshx= Cosh x Cosy =C, c)r²ē
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:|(3) show that the Following equatioveare exact and Solve thema
a) 7xydx+x*dy-o, b) sinhx cosydx=ceshxsiny dy,
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c) z° (r dr-Yde) = o .
CANS.3): a)x y=c, b) Coshx Cosy =C, c) re2-c.
(4) Are the following equations exact? solve theinitial Value 8-
a) 3y?dx+ Xdy=o CYCI) =), b) 2xydy=(x²+Ye)dx (YCI)=2),
c) [(x+H)eX-e°Jdx = xedy (Y)=0),d)esinzxsinhrdx-
Cosex Cosh ydy=o (Y(0) =1) •
(ANS.4): a) No, /3ln/xl+2),b)No, V-x+3X (use V=Y/x),
c) Yes, Cexe)x=e-I,d) Yes, sinh y Cos2x =Sinh|.
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