Find the general solution to the homogeneous differential equation The solution has the form with f₁(t) = e- 2t and f₂(t)= e-6t d²y dt² +8 +12y = 0 dt y = C₁fi(t) + C₂f2(t)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 33CR
icon
Related questions
Question
Find the general solution to the homogeneous differential equation
The solution has the form
with f₁(t) = e - 2t
and f₂(t) = e-6t
d²y
dt²
dy
+8 +12y = 0
dt
y = C₁f1(t) + C2 f2 (t)
Transcribed Image Text:Find the general solution to the homogeneous differential equation The solution has the form with f₁(t) = e - 2t and f₂(t) = e-6t d²y dt² dy +8 +12y = 0 dt y = C₁f1(t) + C2 f2 (t)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

this is wrong

f1 does not equal e- 2t and f2 does not equal e - 6t

Solution
Bartleby Expert
SEE SOLUTION
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,