solve the Differential equations y'''+10y''+25y'=0

Kye 2020-11-09 Answered
solve the Differential equations y+10y+25y=0
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

doplovif
Answered 2020-11-10 Author has 71 answers
The given Differential equations is,
y+10y+25y=0.
This equation can be re-written as,
(D3+10D2+25D)y=0, where Dddx.The auxiliary equation of (1) is,D3+10D2+25D=0
D(D2+10D+25)=0
D(D+5)2=0
D(D+5)(D+5)=0
D=0,5,5.
Hence the required general solution is,
y=c1e0x+(c2+c3x)e5x=c1+(c2+c3x)e5x,c1,c2,c3 are arbitrary constants.
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more