Math, Calculus

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Differential Equations Problems...

please give the complete solution, so that i can understand how it is derived...

Here are the problems :

1.) y dx + (2x+3y)dy = 0

2.) (2xy + y^(2) ) dx - 2x^(2) dy = 0
;y = e, x = e

3.) y( x^(2) + xy - 2y^(2) ) dx +
x(3y^(2) - xy - x^(2) ) dy = 0

4.) (x + ysin(y/x)) dx- xsin(y/x) dy = 0

5.) y^(2) dy = x(x dy -y dx) e^(x/y)

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