(4) Are the following equations exact? Solve theinitial Value 8- a) 3y²dx+Xdy=° CYCI) =t), b) 2xydy=(x²+Ye)dx (YC1)=2), c) [(x+H)eX_e°Jdx = xe°dy (Y)=0), d)esinzxsinhrdx- Cosex cosh ydy=o (Y(0) =1) . (ANS.4): a) No, /Bln/x|+2),b) No,Y=Vx3+3x {use V=Y/x) , c) Yes, Cee)x=e-l,d) Yes, Sinhy Cosex=sinhl.
(4) Are the following equations exact? Solve theinitial Value 8- a) 3y²dx+Xdy=° CYCI) =t), b) 2xydy=(x²+Ye)dx (YC1)=2), c) [(x+H)eX_e°Jdx = xe°dy (Y)=0), d)esinzxsinhrdx- Cosex cosh ydy=o (Y(0) =1) . (ANS.4): a) No, /Bln/x|+2),b) No,Y=Vx3+3x {use V=Y/x) , c) Yes, Cee)x=e-l,d) Yes, Sinhy Cosex=sinhl.
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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![(4) Are the following equations exact? solve theinitial Value 8-
a) 3y²dx+XdY=o CyCI) =t), b) 2xydy=(x²+Ye)dx (YC1)=2),
c) [Cx+)eX-e°]dx = xe°dy (Ya)=0),)esinzxsinhrdx-
Cosex Cosh ydy=o (Y(O) =1) .
(ANS.4): a) No,/Blnlx\+2), b) No, Y= Vx3+3x {use V=Y/x),
c) Yes, Cee)x=e-l,d) Yes, Sinhy COsex=sinhl.
Lu) t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb2ddc7e-96e6-432d-848f-2eef921bdd3f%2Ff1cb8fea-faeb-4cc8-afa5-be8905e97c81%2Fvo1w1w3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(4) Are the following equations exact? solve theinitial Value 8-
a) 3y²dx+XdY=o CyCI) =t), b) 2xydy=(x²+Ye)dx (YC1)=2),
c) [Cx+)eX-e°]dx = xe°dy (Ya)=0),)esinzxsinhrdx-
Cosex Cosh ydy=o (Y(O) =1) .
(ANS.4): a) No,/Blnlx\+2), b) No, Y= Vx3+3x {use V=Y/x),
c) Yes, Cee)x=e-l,d) Yes, Sinhy COsex=sinhl.
Lu) t
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