Q1 of 68 Page 902

Verify that x2 = 2y2log y is a solution of the differential equation (x2 + y2) - xy = 0.


Given


On differentiating both sides with respect to x, we get





Multiply both sides with y



We know, . So replace with in the above equation.




Conclusion: Therefore is the solution of


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Verify that x2 = 2y2log y is a solution of the differential equation (x2 + y2) - xy = 0.

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