1) Solve the given initial-value problem.
(x + y)2 dx + (2xy + x2 − 3) dy =0,   y(1) = 1
2) Find the general solution of the given differentialequation.
x dy/dx + (4x +1)y =e−4x
y(x) =
Give the largest interval over which the general solution isdefined. (Think about the implications of any singular points.Enter your answer using interval notation.)
Determine whether there are any transient terms in the generalsolution. (Enter the transient terms as a comma-separated list; ifthere are none, enter NONE.)
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