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Solve for the General Solution of the following Differential Equations using Separation of Variables 1. 3x² coty dx - (x³ + 1)csc²y dy = 0

Solve for the General Solution of the following Differential Equations using Separation of Variables 1. 3x² coty dx - (x³ + 1)csc²y dy = 0

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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1:02 X Proble... 3. x(8+y³) dx + 3y²√4-x² dy = 0 4. ey (5-x) dx = xy dy 5. dx dy=0 Solve for the General Solution of the following Differential Equations using Separation of Variables 1. 3x² coty dx (x³ + 1)csc²y dy = 0 2. 3√4x² dy = (9+ y²) dx x²+xy²+y 6. dy tan x tany dx 7. dx + x lnx lny dy = 0. o 8. (4+9x²) dy√√9-4y² dx = 0 9. (xy-x) dx = (x²y² - x² + y² - 1) dy 10. (xy² + x) dx + (1+x²) dy = 0 MAT 052 Problem Set 1
Transcribed Image Text:1:02 X Proble... 3. x(8+y³) dx + 3y²√4-x² dy = 0 4. ey (5-x) dx = xy dy 5. dx dy=0 Solve for the General Solution of the following Differential Equations using Separation of Variables 1. 3x² coty dx (x³ + 1)csc²y dy = 0 2. 3√4x² dy = (9+ y²) dx x²+xy²+y 6. dy tan x tany dx 7. dx + x lnx lny dy = 0. o 8. (4+9x²) dy√√9-4y² dx = 0 9. (xy-x) dx = (x²y² - x² + y² - 1) dy 10. (xy² + x) dx + (1+x²) dy = 0 MAT 052 Problem Set 1
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