Solve the initial value problem = y(1 — y), dy dt y(0) = -4. Write answer as a formula in the variable t. = Hint: Use partial fractions. In particular note that: 1 1 1 + y. (1-y) Y 1-y

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
icon
Related questions
Question
Solve the initial value problem = y(1 – y),
dy
dt
y(0) = -4.
Write answer as a formula in the variable t.
=
Hint: Use partial fractions. In particular note that:
1
1
1
= +
y. (1-y) Y 1-y
Transcribed Image Text:Solve the initial value problem = y(1 – y), dy dt y(0) = -4. Write answer as a formula in the variable t. = Hint: Use partial fractions. In particular note that: 1 1 1 = + y. (1-y) Y 1-y
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage