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Calculus - Geometry

user_pereira_de_andr Created by 6 mon ago

Cards in this deck(20)

-Standard form -no functions of y -M(x)

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f(x,y) cont = existence fy cont = uniqueness

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-general solution -let c= u(x) -plug in and solve for u

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-homogenous -let u=y/x -solve for u then y=ux -y=0 is a constant solution

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W = |y1 y2 y1' y2' | =\ 0

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y=e^rt

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use yp to find y' & y'' -plug back in

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-y1 given - let yp=uy1 -plug in y' & y'' - let z=u' -solve for z -solve for u

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y=c1x+c2/x u1'x +u2'/x =0 u1'y1' + u2'y2' = F(x)/P(x) U1' = delta 1/delta

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my''+cy'+ky=0 k=mg/dl wo^2=k/m wo= 2pif=2pi/T y=Acos(wt-0) D>0 overdamped D=0 critically damped D<0 underdamped

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y=x^r

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Av=\v v(A-\I)=0 det(A-\I)=0 y1=v1e^\1t

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sum of x^n/n!

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sum of (-1)^n x^2n/(2n)!

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sum of (-1)^n x^2n+1/(2n+1)!

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Sum of x^n

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lim as n approaches oo =0 converges

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1/n^p converges if p>1

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