a. b. C. (x+y) dx+(x-y)dy = 0 (2xy − 3x² ) dx + (x² + y)dy = 0 (2xy + y) dx + (x² − x) dy=0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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QUESTION 4
Test each of the following equations for exactness and solve the equation. For the equations which
are not exact, adopt any suitable method of solution.
а. (х+у) dx+(х -у)dy %3D0
b. (2xy- 3r)d +(x² +y)dv = 0
c. (2ry+y)cx+(x² – x)dy =0
d. (1+y²)cx +(x°y+y)dv =0
e. 2xy de +(y -x)dy =0
Transcribed Image Text:QUESTION 4 Test each of the following equations for exactness and solve the equation. For the equations which are not exact, adopt any suitable method of solution. а. (х+у) dx+(х -у)dy %3D0 b. (2xy- 3r)d +(x² +y)dv = 0 c. (2ry+y)cx+(x² – x)dy =0 d. (1+y²)cx +(x°y+y)dv =0 e. 2xy de +(y -x)dy =0
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