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47. Show that y = sin(tan-x+ C) is the general solution of y' = /1 – y²/(1+x²). Then use the addition formula for the sine function to show that the general solution may be written (cos C)x + sin C y = V1+x?

47. Show that y = sin(tan-x+ C) is the general solution of y' = /1 – y²/(1+x²). Then use the addition formula for the sine function to show that the general solution may be written (cos C)x + sin C y = V1+x?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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47. Show that y = sin(tan-x+ C) is the general solution of y' = /1 – y²/(1+x²). Then use the addition formula for the sine function to show that the general solution may be written (cos C)x + sin C y = V1+x?
Transcribed Image Text:47. Show that y = sin(tan-x+ C) is the general solution of y' = /1 – y²/(1+x²). Then use the addition formula for the sine function to show that the general solution may be written (cos C)x + sin C y = V1+x?
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