Find the value of k so that the given differential equation is exact. (³+kxy-2x) dx + (3xy² + 20x²y³) dy=0. Then find the implicit solution. O 10: xy³ +5x²y4_x²=C O-10x²y³ + x²y + x² = C O - xy3 -5x2y+x=C O xy²-3xy + x² = C

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the value of k so that the given differential equation is exact. (³ + Kxy-2x) dx + (3xy² + 20x²y³)dy = 0. Then find the implicit solution.
O 10; xy³ +5x²y4 - x² = C
O-10x2y³ + x²y² + x² = C
O -& xy3 - 5xy+x=C
0 1
2xy2²-3xy + x² = C
Transcribed Image Text:Find the value of k so that the given differential equation is exact. (³ + Kxy-2x) dx + (3xy² + 20x²y³)dy = 0. Then find the implicit solution. O 10; xy³ +5x²y4 - x² = C O-10x2y³ + x²y² + x² = C O -& xy3 - 5xy+x=C 0 1 2xy2²-3xy + x² = C
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