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Find the solution to the initial value problem. (6xy + y²)dx + (3x² + 2xy + 2y)dy = 0, y(1) = 3

Find the solution to the initial value problem. (6xy + y²)dx + (3x² + 2xy + 2y)dy = 0, y(1) = 3

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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Consider the following initial value problem t(t − 4)y" + 3(t-1)y' + (cost)y = 3, y(3) = 0, y' (3) = −1 -1 Find the largest open interval which a unique solution is guaranteed to exist. Do not solve the equation. ○ (0, ∞) ○ (4,00) (0,1) ○ (0,4) boo (-∞0,0)
Transcribed Image Text:Consider the following initial value problem t(t − 4)y" + 3(t-1)y' + (cost)y = 3, y(3) = 0, y' (3) = −1 -1 Find the largest open interval which a unique solution is guaranteed to exist. Do not solve the equation. ○ (0, ∞) ○ (4,00) (0,1) ○ (0,4) boo (-∞0,0)
Find the solution to the initial value problem. (6xy + y²)dx + (3x² + 2xy + 2y)dy = 0, 6xy + 2y² + x = 37 3x²y + 2x²y + x³ + 2x² + 2y = 24 x³y+x²y² + y² + x = 22 x²y + 2xy² + y² + x = 31 3x²y + xy² + y² = 27 。。。。 y(1) = 3
Transcribed Image Text:Find the solution to the initial value problem. (6xy + y²)dx + (3x² + 2xy + 2y)dy = 0, 6xy + 2y² + x = 37 3x²y + 2x²y + x³ + 2x² + 2y = 24 x³y+x²y² + y² + x = 22 x²y + 2xy² + y² + x = 31 3x²y + xy² + y² = 27 。。。。 y(1) = 3
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