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Question

Mathematics Question on Solutions of Differential Equations

The solution of (x2 -√2y) dx + (y2 - √2x) dy = 0 is given by

A

x3-√2xy + y3 = c, where c is and arbitrary constant

B

x3-3√2xy + y3 = c, where c is and arbitrary constant

C

x3+3√2xy + y3 = c, where c is and arbitrary constant

D

3x3-√2xy + 3y3 = c, where c is and arbitrary constant

Answer

x3-3√2xy + y3 = c, where c is and arbitrary constant

Explanation

Solution

The correct answer is(B): x3-3√2xy + y3 = c, where c is and arbitrary constant