Given equation is dy - sin(x + y) dx

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Use this technique in solving this Bernoulli problem in the first picture to the Bernoulli problem given to the second picture.

Based on the book, the final answer should be: tan(x+y) - sec(x+y) = x+c

 

Given equation is,
dy
= sin(x + y)
dx
Transcribed Image Text:Given equation is, dy = sin(x + y) dx
Bernoulli DE
When y is the dependent variable:
When x is the dependent variable:
dy
dx
+ P(x)y = Q(x) · y" (std form)
+ P(y)x = Q(y) · x" (std form)
dx
dy
n = R
n # 0
n + 1
n = R
n + 0
n + 1
Substitution Technique
v = yl-n
Substitution Technique
v = x1-n
Transcribed Image Text:Bernoulli DE When y is the dependent variable: When x is the dependent variable: dy dx + P(x)y = Q(x) · y" (std form) + P(y)x = Q(y) · x" (std form) dx dy n = R n # 0 n + 1 n = R n + 0 n + 1 Substitution Technique v = yl-n Substitution Technique v = x1-n
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