Solve the higher order derivatives: y''-6y+9y=0, y(0)=2, y'(0)=0

Khaleesi Herbert

Khaleesi Herbert

Answered question

2021-05-19

Solve the higher order derivatives:
y''-6y+9y=0, y(0)=2, y'(0)=0

Answer & Explanation

tabuordg

tabuordg

Skilled2021-05-20Added 99 answers

Consider the given equation.
y-6y+9y=0
Make the characteristics equation.
r26r+9=0
r23r3r+9=0
r(r−3)−3(r−3)=0
(r3)2=0
r=3
Put the values in the equation.
y=c1e3x+c2xe3x

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