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"Consider the initial value problem: dy dx = 2x(y − 1), y(0) = yo. Solve this initial value problem for yo E R and sketch the overall pattern of solutions."

"Consider the initial value problem: dy dx = 2x(y − 1), y(0) = yo. Solve this initial value problem for yo E R and sketch the overall pattern of solutions."

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please solve the following differential equation step by step, I am especially clueless about the sketch.

"Consider the initial value problem: dy dx = 2x(y— 1), y(0) = yo. Solve this initial value problem for yo E R and sketch the overall pattern of solutions."
Transcribed Image Text:"Consider the initial value problem: dy dx = 2x(y— 1), y(0) = yo. Solve this initial value problem for yo E R and sketch the overall pattern of solutions."
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please show where the absolute stripes of " ln|y-1| " go?

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Follow-up Question

Isn't the ln function supposed to have absolute brackets? like ln|y-1| instead of ln(y-1)?

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