Find the general solution to the homogeneous differential equation tion can be written in the form s form, ₁ = and 1₂ = d²y dy 9 dt² dt = 0 y = C₁e¹t+C₂e¹₁t T1 < T₂
Find the general solution to the homogeneous differential equation tion can be written in the form s form, ₁ = and 1₂ = d²y dy 9 dt² dt = 0 y = C₁e¹t+C₂e¹₁t T1 < T₂
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
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It can be helpful to classify a differential equation, so that we can predict the techniques that might help us to find a function which solves the equation. Two classifications are the order of the equation -- (what is the highest number of derivatives involed) and whether or not the equation is linear. Linearity is important because the structure of the family of solutions to a linear equation is fairly simple. Linear equations can usually be solved completely and explicitly. Determine whether or not each equation is linear
for 2 3 and 4 it is also based on the drop down menu (in the picture)
Transcribed Image Text:Find the general solution to the homogeneous differential equation
tion can be written in the form
s form, ₁ =
and 1₂ =
d²y dy
9
dt² dt
= 0
y = C₁e¹t+C₂e¹₁t
T1 < T₂
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