To solve the separable differential equation ૨૨ dy y² - 6 dx we must find two separate integrals: dy = help (formulas) and 10 dx help (formulas) = 1 2y The first integral we integrate by substitution: u = du = help (formulas) help (formulas) Solving for y we get one positive solution y = ☐ help (formulas) And one negative solution y = ☐ help (formulas) Note: You must simplify all arbitrary constants down to one constant k. Find the particular solution satisfying the initial condition y(1) = −5. y(x) = ☐ help (formulas) Book: Section 1.3 of Notes on Diffy Qs
To solve the separable differential equation ૨૨ dy y² - 6 dx we must find two separate integrals: dy = help (formulas) and 10 dx help (formulas) = 1 2y The first integral we integrate by substitution: u = du = help (formulas) help (formulas) Solving for y we get one positive solution y = ☐ help (formulas) And one negative solution y = ☐ help (formulas) Note: You must simplify all arbitrary constants down to one constant k. Find the particular solution satisfying the initial condition y(1) = −5. y(x) = ☐ help (formulas) Book: Section 1.3 of Notes on Diffy Qs
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning