Find a suitable integrating factor u(x) or y) and show that the following differential equation is exact by multiplying integrating factor. Find the particular solution. (x? - yx + x' sin x )dx + (yx³ + x²)dy = 0; y(7) = 1.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find a suitable integrating factor u(x) or u(v) and show that the following differential
equation is exact by multiplying integrating factor. Find the particular solution.
²- yx + x' sin x )dx + (yx³ + x²)dy = 0; y(7) = 1.
(x²-
Transcribed Image Text:Find a suitable integrating factor u(x) or u(v) and show that the following differential equation is exact by multiplying integrating factor. Find the particular solution. ²- yx + x' sin x )dx + (yx³ + x²)dy = 0; y(7) = 1. (x²-
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