3. Consider the equation (3x2 + 3y? + 6) dx + (kxy + 8y³ + 1) dy = 0. (a) Determine the value of the constant k that makes this equation exact. (b) Solve the equation using this value of k from part (a).
3. Consider the equation (3x2 + 3y? + 6) dx + (kxy + 8y³ + 1) dy = 0. (a) Determine the value of the constant k that makes this equation exact. (b) Solve the equation using this value of k from part (a).
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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Transcribed Image Text:3. Consider the equation
(3x2 + 3y? + 6) dx + (kxy + 8y³ +1) dy = 0.
(a) Determine the value of the constant k that makes this equation exact.
(b) Solve the equation using this value of k from part (a).
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