Linear equations of second order with constant coefficients. Find all solutions on {left(-infty,+inftyright)}.{y}text{}+{2}{y}'+{y}={0}

Alyce Wilkinson 2020-12-24 Answered
Linear equations of second order with constant coefficients.
Find all solutions on
(,+).y+2y+y=0
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Expert Answer

Laaibah Pitt
Answered 2020-12-25 Author has 98 answers
The characteristic equation is given by
r2+2r+1=0
and has the roots r1=11andr2=1.
The general solution is given by
y=ex(c1+c2x), where c_1 and c_2 are arbitracy constant.
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