Match the options below: (x+y-1)dx+(2x+2y+3)dy=0 7.1 dy/dx=y-xy^3 e^(-2x) (x^3+3xy^2 )dx+(y^3+3x^2 y)dy=0 (2x-3y)dx+(2y-3x)dy=0 (2xy-3y)dx+(x^2-x)dy=07.5 x dy/dx-(x+2)^2=y_ (x-y cot [y/x)dx+x cot [y/x dy=0] ]

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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Question

Choose the right answer for 7.1 and 7.5 from the given choices.

Match the options below:
(x+y-1)dx+(2x+2y+3)dy=0
7.1
None of the choices
Select
xy(x-3)=c
y arctan (x=c]
x^4+y^4+6x^2 y^2=c
y=x^2+4(x In [x-1)+c]
x sin [y/x=c]
x^2+y^2+2 In_[xy=c]
|(arctan [y/x=e^x+c]
None of the choices
2x+y In^2 [[x=cy]
y^(-2)=(x^2+c) e^(-2x)
y^2+xy=cx
x^2-3xy+y^2=c
x+2y-5 In [(x+y+4)=c]
dy/dx=y-xy^3 e^(-2x)
(x^3+3xy^2 )dx+(y^3+3x^2 y)dy=0
(2x-3y)dx+(2y-3x)dy=0
(2xy-3y)dx+(x^2-x)dy=0
7.5
x dy/dx-(x+2)^2=y
(x-y cot [y/x)dx+x cot [y/x dy=0] ]
Transcribed Image Text:Match the options below: (x+y-1)dx+(2x+2y+3)dy=0 7.1 None of the choices Select xy(x-3)=c y arctan (x=c] x^4+y^4+6x^2 y^2=c y=x^2+4(x In [x-1)+c] x sin [y/x=c] x^2+y^2+2 In_[xy=c] |(arctan [y/x=e^x+c] None of the choices 2x+y In^2 [[x=cy] y^(-2)=(x^2+c) e^(-2x) y^2+xy=cx x^2-3xy+y^2=c x+2y-5 In [(x+y+4)=c] dy/dx=y-xy^3 e^(-2x) (x^3+3xy^2 )dx+(y^3+3x^2 y)dy=0 (2x-3y)dx+(2y-3x)dy=0 (2xy-3y)dx+(x^2-x)dy=0 7.5 x dy/dx-(x+2)^2=y (x-y cot [y/x)dx+x cot [y/x dy=0] ]
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