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Mathematics

OpenStudy (dan815):

All the ways to solve this 2nd order ODE, http://prntscr.com/4udffs t^2y''-ty'-3y=t^2 y''-y'/t-3y/t^2=1

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OpenStudy (dan815):

@ganeshie8 @Kainui @ikram002p

OpenStudy (dan815):

@aum

OpenStudy (dan815):

to solve homogenous case first y''-y'/t-3y/t^2=0

OpenStudy (dan815):

hey aum do you know how to solve 2nd order ODEs

OpenStudy (dan815):

@Astrophysics come here fatty

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OpenStudy (dan815):

:) lets do a 2nd order ode i forgot em :)

OpenStudy (dan815):

oo I realize this is in cauchy euler form

OpenStudy (dan815):

assuming y=t^m form then subbing into t^2y''-ty'-3y=0 i get t^m(m^2-2m-3)=0 so m = 3 and -1 so Y_h = c1 t^3 +c2 t^-1 now Y_G= Y_h + Y_p now to find particular solution by variation of parameters

OpenStudy (dan815):

@Mimi_x3 @Miracrown

OpenStudy (dan815):

@nincompoop

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OpenStudy (kainui):

I guess I'm too late, but it looks like y has the dimensions of seconds squared.

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