(a) Is 2xydx - (1+y)dy = 0 linear or nonlinear?
(b) Solve 2xydx - (1+y)dy = 0 using the separation of variablesmethod. Can we find an explicit form of the solution?
(c) Can we solve 2xydx - (1+y)dy = 0 using the integratingfactor method? How about using the exact differential equationmethod?
(d) Solve 2xydx - (1+y)dy = 0, y(0) = 1
(e) Solve 2xydx - (1+y)dy = 0, y(0) = -2
(f) Solve 2xydx - (1+y)dy = 0, y(0) = 0
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