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Evaluate:

x²y dx – (x³ + y³)dy = 0
Evaluate:

Form the differential equation of the family of circles in the second quadrant and touching the coordinate
axes.
Form the differential equation representing the family of curves y = A cos (x + B), where A and B are constants.
Evaluate:

(3xy + y²) dx + (x²+ xy) dy = 0
Evaluate:

Evaluate:

Form the differential equation of the family of parabolas having vertex at the origin and axis along positive y-axis.
Evaluate:

ex tan y dx + (1 – ex) sec2y dy=0
Form the differential equation of the family of circles touching the y-axis at origin.
Find the particular solution of the differential equation.
