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" 1."x(x-y)dy+y^(2)dx=0...

" 1."x(x-y)dy+y^(2)dx=0

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y dx + (x - y^(2))dy = 0

y dx + (x - y^(2))dy = 0

y dx + (x - y^(2))dy = 0

Verify that y=-x-1 is a solution of the differential equation (y-x)dy-(y^2-x^2)dx=0.

Verify that y=-x-1 is a solution of the differential equation (y-x)dy-(y^(2)-x^(2))dx=0

y^(2) + (x - 1/y ) dy/ dx = 0

Solve: y^2 + (x - 1/y)(dy)/(dx) = 0.