Indicate whether the following equations define a straight line (L), a circle (C), an ellipse (but not a circle) (E), a parabola (P), or a hyperbola (H).
1. $x^2+y^2= 4x+6y+9$
2. $y^2+(x+1)^2-2x^2=100$
3. $(x+1)^2-x^2-y=0$
4. $x^2+(2y-1)^2=20$
5. $y^2-(y+1)^2+x^2=0$

Hint: Expand the square terms.