Solve: y''+2y'-3y=0

Joanna Benson 2022-01-18 Answered
Solve: y+2y3y=0
You can still ask an expert for help

Want to know more about Laplace transform?

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

sukljama2
Answered 2022-01-19 Author has 33 answers
y=z
y=zdzdy
zdzdy+2z3y=0
zdz+2zdy3ydy=0
zdz=(3y2z)dy
z=3y2z
z=y
y=y=y
Not exactly what you’re looking for?
Ask My Question
puhnut1m
Answered 2022-01-20 Author has 33 answers
0=y+2y3y=(D2+2D3)y=(D+3)(D1)y,D=ddx
Not exactly what you’re looking for?
Ask My Question
alenahelenash
Answered 2022-01-24 Author has 368 answers
Start by finding the characteristic polynomial. In this case it is x2+2x3. Find its zeros; they are x=3,1. The general solution to your differential equation is cexit, where xi is a root to your characteristic polynomial. So we have two linearly independent solutions; y=e3t,y=e1t. Because this is a linear differential equation, we can take any linear combo of those two solutions, and that will also be a solution. So the general solution for y is y(t)=c1e3t+c2e1twhere c1 and c2 are determined by your initial conditions (y(0) and y(0))
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

New questions