) Solve (x² – 2y2)dx + xy dy = 0 .
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Answer:
= x²-2y²+ y = 0
Step-by-step explanation:
(x²-2y²)dx + xy•dy = 0
= (x²-2y²)dx + y(dx) = 0
= dx { (x²-2y²) + y } = 0
= dx { (x²-(√2y)²) + y } = 0
= dx { (x-√2y) (x+√2y) + y } = 0
= (x-√2y) (x+√2y) + y = 0
= x²-2y²+ y = 0
Or
= dx = 0
Hope this help you
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