2. In problems 1-5 verify that the indicated function y = Ø(x) is an explicit solution of the given DEs: 1. (y-x)y' = y - x+ 8; 2. y' = 25 + y2; 3. y' = 2xy2; y = y = x + 4Vx + 2. y = 5 tan 5x. %3D 4-x2

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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2. In problems 1-5 verify that the indicated function y = Ø(x) is an explicit solution of the
given DEs:
1. (у— х)у' %3Dу — х + 8;
2. y' = 25 + y?;
y = x + 4Vx + 2.
y = 5 tan 5x.
3. y' = 2xy?; y=
4-x2
4. y" - 2y' - 3y = 0;
dy
+ 2xy = 4x3;
y = ce-* + c,e3x.
y = 2(x? – 1) + ce*?.
5.
dx
Transcribed Image Text:2. In problems 1-5 verify that the indicated function y = Ø(x) is an explicit solution of the given DEs: 1. (у— х)у' %3Dу — х + 8; 2. y' = 25 + y?; y = x + 4Vx + 2. y = 5 tan 5x. 3. y' = 2xy?; y= 4-x2 4. y" - 2y' - 3y = 0; dy + 2xy = 4x3; y = ce-* + c,e3x. y = 2(x? – 1) + ce*?. 5. dx
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