Find the general solution of the differential equation y"+10y' + 25y = 0. 1) What is the characteristic/auxiliary equation (in terms of the variable m)? (Your answer here must be an equation.) 2) Choose the general solution: Oy = C1 + C2e- 52 Oy = C;e* + C,æe®r Oy = C1 + C2xe 5z Oy = C1e¬5z + C2e¯5z 5z Oy = Cje + C2xe 5z 3) Solve the initial value problem (IVP): y'+10y'+ 25y = 0, y(0) = 5, y'(0) = – 24 y(x) =
Find the general solution of the differential equation y"+10y' + 25y = 0. 1) What is the characteristic/auxiliary equation (in terms of the variable m)? (Your answer here must be an equation.) 2) Choose the general solution: Oy = C1 + C2e- 52 Oy = C;e* + C,æe®r Oy = C1 + C2xe 5z Oy = C1e¬5z + C2e¯5z 5z Oy = Cje + C2xe 5z 3) Solve the initial value problem (IVP): y'+10y'+ 25y = 0, y(0) = 5, y'(0) = – 24 y(x) =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Find the general solution of the differential equation y" +10y' + 25y = 0.
1) What is the characteristic/auxiliary equation (in terms of the variable m)?
(Your answer here must be an equation.)
2) Choose the general solution:
Oy = C1 + C2e- 5z
Oy = C;e* + C2æe®r
Oy = C1 + C2xe-5z
5z
Oy = C1e¯5" + C2e
Oy = C1e¯5z + C2xe¯5z
%3D
3) Solve the initial value problem (IVP):
y''+10y' + 25y = 0, y(0) = 5, y'(0)
- 24
y(x) =
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