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 differential
equation.
x dy/dx + (4x +
1)y =
e−4x
y(x) =
Give the largest interval over which the general solution is
defined. (Think about the implications of any singular points.
Enter your answer using interval notation.)
Determine whether there are any transient terms in the general
solution. (Enter the transient...