To make the differential equation xdy + (x^2 - 2y)dx = 0 exact, what must be the integrating factor?. In writing your final answer, follow the format 2x^3/y^(-2) if it is a fraction and the variable involved exponent and use the symbol ( ) for negative exponent. Strictly no spaces between symbols. If in a term it involved x and y, write x first followed by y whatever the exponent be. Do not use grouping symbols for the product or multiplication symbol. All letters should be in small letter. Use the symbol (^) caret to denote the exponent of the variable.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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To make the differential equation
xdy + (x^2 - 2y)dx = 0 exact, what
must be the integrating factor?.
In writing your final answer, follow
the format 2x^3/y^(-2) if it is a
fraction and the variable involved
exponent and use the symbol ( )
for negative exponent. Strictly no
spaces between symbols. If in a
term it involved x and y, write x
first followed by y whatever the
exponent be. Do not use grouping
symbols for the product or
multiplication symbol. All letters
should be in small letter. Use the
symbol (^) caret to denote the
exponent of the variable.
Transcribed Image Text:To make the differential equation xdy + (x^2 - 2y)dx = 0 exact, what must be the integrating factor?. In writing your final answer, follow the format 2x^3/y^(-2) if it is a fraction and the variable involved exponent and use the symbol ( ) for negative exponent. Strictly no spaces between symbols. If in a term it involved x and y, write x first followed by y whatever the exponent be. Do not use grouping symbols for the product or multiplication symbol. All letters should be in small letter. Use the symbol (^) caret to denote the exponent of the variable.
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