* LaPlace Lft=0∞e-stftdt=F(s) LA=AS Ltn=n!sn+1 Lta=Γ(a+1)sa+1 Leat=1s-a Le-at=1s+a Lsen wt=ws2+w2 Lcos wt=ss2+w2 Lsenh at=as2-a2 Lcos at=ss2-a2 Lt12=π2s32 Laf(t)=aLf(t)=aF(s) Lft+g(t)=Lf(t)+Lg(t) Γp=0∞xp-1e-x Γ1=1 Γ12=π Γ-12=-2π Γ52=32*12π Γp+1=pr(p) Γn=(n-1)! Leat*ft=Fs-a L-1F(s-a)=eatf(t) L-1F(s)=f(t) L-1aFs=aL-1F(s) L-1Fs+G(s)=L-1F(s)+L-1G(s) L0tftdt=1sLft=1sF(s) L-11sF(s)=L-11sL{ft}=0tftdt Ly(t)=Ys Ly'(t)=sYs-y0 Ly''(t)=s2Ys-sy0-sy'0 Ly'''(t)=s3Ys-s2y0-sy'0-y''(0)

* Wranskiano y1x, y2x, y3x, …, yn(x) wy1, y2, y3, …, yn=|y1y2yny1'y2'yn'y1''y2''yn''| w=0→linealmente dependiente w ≠0→linealmente independiente * Eq. Diferenciales Lineales Homogeneas con