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Obtain 1. y(x+y) dx + x(x²-2y) dy-0 ay(x²-y) = x 2. y(2x + y²) dx + x(²-x) dy = 0 x(x + y²) = cy ans.

Obtain 1. y(x+y) dx + x(x²-2y) dy-0 ay(x²-y) = x 2. y(2x + y²) dx + x(²-x) dy = 0 x(x + y²) = cy ans.

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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Chapter III. Additional Topics on t PROBLEM SETS Obtain the general solution. 1. y(x+y) dx + x(x²-2y) dy = 0 ay(x²-y) = xx 2. y(2x + y²) dx + x(y²-x) dy = 0 ans. x(x + y) = cy 3. vdx + 2(y-x) dy = 0 ame. x=y² (c- y²) 4. (++ 1) dx + x(x-31) dy = 0 y-xy + y = x ans. 5. y'= ax + by c ans. Equations of Order Or by ex-abx-a - bc 6. (2x³y² + 4x2 +22² + xy + 2y) dx +2+x²y x) dy = 0 ans. (x2y² + 4xy) exp (x²) = c 7. (x+y+x) dx + xy dy = an x² (3x² + 4x + 6y = c 8. [2x exp(y) + 2xy + y) dx +[x²y'exp(y)-x²y²-3x) dy=0 ans. x²y' exp(y) + x³y² +
Transcribed Image Text:Chapter III. Additional Topics on t PROBLEM SETS Obtain the general solution. 1. y(x+y) dx + x(x²-2y) dy = 0 ay(x²-y) = xx 2. y(2x + y²) dx + x(y²-x) dy = 0 ans. x(x + y) = cy 3. vdx + 2(y-x) dy = 0 ame. x=y² (c- y²) 4. (++ 1) dx + x(x-31) dy = 0 y-xy + y = x ans. 5. y'= ax + by c ans. Equations of Order Or by ex-abx-a - bc 6. (2x³y² + 4x2 +22² + xy + 2y) dx +2+x²y x) dy = 0 ans. (x2y² + 4xy) exp (x²) = c 7. (x+y+x) dx + xy dy = an x² (3x² + 4x + 6y = c 8. [2x exp(y) + 2xy + y) dx +[x²y'exp(y)-x²y²-3x) dy=0 ans. x²y' exp(y) + x³y² +
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