Homework Help is Here – Start Your Trial Now!
Math
Calculus
Lec.1 / Solution of first order differential equation / c) Integrating Factor dy sec(x) dx + sec(x)tan(x)y = sec² (x) Ex 1: Solve by IF method d cos(x) dx dy + sin(x)y = 1, at y(t) = 2 dx d (sec(x) y) dx = :(sec(x)y) = sec² (x) Divide by cos(x) | sec? (x)dx dx dy + tan(x)y = sec(x) dx sec(x) у 3D tапx + с 1 • P(x) : y = cos(x) Multiply by cos(x) sin(x) cos(x) tan(x) • IF = = eJ tan(x) dx sin(x) + c cos(x) 1 y = cos(x) y = sin(x) + c. cos(x) if y(n) = 2 2 = sin(n) + c. cos(T) c = -2 y = sin(x) – 2cos(x) • IF = eln sec(x) • IF = eln|sec(x)| • IF = sec(x) 19

Lec.1 / Solution of first order differential equation / c) Integrating Factor dy sec(x) dx + sec(x)tan(x)y = sec² (x) Ex 1: Solve by IF method d cos(x) dx dy + sin(x)y = 1, at y(t) = 2 dx d (sec(x) y) dx = :(sec(x)y) = sec² (x) Divide by cos(x) | sec? (x)dx dx dy + tan(x)y = sec(x) dx sec(x) у 3D tапx + с 1 • P(x) : y = cos(x) Multiply by cos(x) sin(x) cos(x) tan(x) • IF = = eJ tan(x) dx sin(x) + c cos(x) 1 y = cos(x) y = sin(x) + c. cos(x) if y(n) = 2 2 = sin(n) + c. cos(T) c = -2 y = sin(x) – 2cos(x) • IF = eln sec(x) • IF = eln|sec(x)| • IF = sec(x) 19

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...
See similar textbooks
icon
Related questions
Question

Please explain the step highlighted in red.

Lec.1 / Solution of first order differential equation / c) Integrating Factor dy sec(x) + sec(x)tan(x)y = sec²(x) dx • Ex 1: Solve by IF method d dy (sec(x)y) = sec²(x) dx cos(x)+ sin(x)y = 1, at y(1) = 2 • Divide by cos(x) dx d Jar (sec(x) y) dx = | sec²(x)dx dy + tan(x)y = sec(x) dx sec(x) у — tапх + с sin(x) + c cos(x) Multiply by cos(x) sin(x) + c cos(x) y = sin(x) + c. cos(x) 1 • P(x) = tan(x) cos(x) • IF = eJ tan(x) dx 1 IF = eln sec(x) cos(x)* e IF = eln|sec(x)| if y(п) — 2 • IF = sec(x) 2 = sin(n) + c.cos(t) c = -2 y = sin(x) – 2cos(x)
Transcribed Image Text:Lec.1 / Solution of first order differential equation / c) Integrating Factor dy sec(x) + sec(x)tan(x)y = sec²(x) dx • Ex 1: Solve by IF method d dy (sec(x)y) = sec²(x) dx cos(x)+ sin(x)y = 1, at y(1) = 2 • Divide by cos(x) dx d Jar (sec(x) y) dx = | sec²(x)dx dy + tan(x)y = sec(x) dx sec(x) у — tапх + с sin(x) + c cos(x) Multiply by cos(x) sin(x) + c cos(x) y = sin(x) + c. cos(x) 1 • P(x) = tan(x) cos(x) • IF = eJ tan(x) dx 1 IF = eln sec(x) cos(x)* e IF = eln|sec(x)| if y(п) — 2 • IF = sec(x) 2 = sin(n) + c.cos(t) c = -2 y = sin(x) – 2cos(x)
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS