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1. Verify that y = -t cost-t is a solution of the following initial value problem dy dt y(n) = 0 t. = y + t² sint

1. Verify that y = -t cost-t is a solution of the following initial value problem dy dt y(n) = 0 t. = y + t² sint

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 calc problem 

1. Verify that \( y = -t \cos t - t \) is a solution of the following initial value problem: \[ t \cdot \frac{dy}{dt} = y + t^2 \sin t \quad \text{with} \quad y(\pi) = 0 \]
Transcribed Image Text:1. Verify that \( y = -t \cos t - t \) is a solution of the following initial value problem: \[ t \cdot \frac{dy}{dt} = y + t^2 \sin t \quad \text{with} \quad y(\pi) = 0 \]
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