Find a solution to d^(2y)/dt^2 =-4y

Darian Hubbard 2022-07-31 Answered
Find a solution to d 2 y / d t 2 = 4 y
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Answers (2)

jbacapzh
Answered 2022-08-01 Author has 18 answers
d 2 y / d t 2 = 4 y
d 2 y / d t 2 + y = 0
this is homogeneous DE
the characteristic equation is:
m 2 + 1 = 0
m = ± i
the general solution is:
y = c 1 e i x + c 2 e i x
or
y = c 1 cos x + c 2 sin x
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Ashlyn Krause
Answered 2022-08-02 Author has 4 answers
Find a solution to d 2 y / d t 2 = 4 y
y''-4y=0
m 2 4 = 0
m = ± 2
y = c 1 exp ( m 1 t ) + c 2 exp ( m 2 t )
y = c 1 exp ( 2 t ) + c 2 exp ( 2 t )
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