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To make the differential equation 2ydx + xdy - x^3dx = 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.

To make the differential equation 2ydx + xdy - x^3dx = 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
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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To make the differential equation 2ydx + xdy - x^3dx = 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 2ydx + xdy - x^3dx = 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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