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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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
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