Solve the exact differential equation ( - 2 sin(x) – y sin(x) + 4 cos(x))dx + (cos(x))dy = 0 where y(0) = 4
Solve the exact differential equation ( - 2 sin(x) – y sin(x) + 4 cos(x))dx + (cos(x))dy = 0 where y(0) = 4
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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![**Problem:**
Solve the exact differential equation
\[ \left( -2\sin(x) - y\sin(x) + 4\cos(x) \right) dx + \left( \cos(x) \right) dy = 0 \]
where \( y(0) = 4 \).
**Solution:**
[Here, students are expected to solve the given exact differential equation, applying appropriate integration techniques and using the provided initial condition to find a specific solution.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3d3733a5-5e9e-433b-b6d1-2cfec636672d%2F854f328a-326e-40c2-a522-34233f70839e%2Fiqpflmc_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem:**
Solve the exact differential equation
\[ \left( -2\sin(x) - y\sin(x) + 4\cos(x) \right) dx + \left( \cos(x) \right) dy = 0 \]
where \( y(0) = 4 \).
**Solution:**
[Here, students are expected to solve the given exact differential equation, applying appropriate integration techniques and using the provided initial condition to find a specific solution.]
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