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Solve the initial value problem. 5μ 2. dy dt 2t sin y. y(1)=- The solution is

Solve the initial value problem. 5μ 2. dy dt 2t sin y. y(1)=- The solution is

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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Solve the initial value problem. \[ \frac{dy}{dt} = 2t \sin^2 y, \quad y(1) = \frac{5\pi}{4} \] The solution is \[ \boxed{ \ } \] (Type an implicit solution. Type an equation using \( t \) and \( y \) as the variables.)
Transcribed Image Text:Solve the initial value problem. \[ \frac{dy}{dt} = 2t \sin^2 y, \quad y(1) = \frac{5\pi}{4} \] The solution is \[ \boxed{ \ } \] (Type an implicit solution. Type an equation using \( t \) and \( y \) as the variables.)
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