The general solution to the equation y'' + 4y' + 3y = 0 has the form c₁eat + c₂ebt where a < b. a = b = Now suppose that the initial conditions are y(0) = 1, y'(0) = 0. Then solve for: C1 C2 11
The general solution to the equation y'' + 4y' + 3y = 0 has the form c₁eat + c₂ebt where a < b. a = b = Now suppose that the initial conditions are y(0) = 1, y'(0) = 0. Then solve for: C1 C2 11
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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![**The general solution to the equation**
\[ y'' + 4y' + 3y = 0 \]
**has the form**
\[ c_1e^{at} + c_2e^{bt} \text{ where } a < b. \]
**Determine the values for:**
\[ a = \boxed{} \]
\[ b = \boxed{} \]
**Now suppose that the initial conditions are**
\[ y(0) = 1, \quad y'(0) = 0. \]
**Then solve for:**
\[ c_1 = \boxed{} \]
\[ c_2 = \boxed{} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F15c022aa-6711-4b29-ab7f-4e5d70ca82f7%2Fd9ce764a-34dc-4e67-adcd-c80424c2633c%2Fv56o1p_processed.png&w=3840&q=75)
Transcribed Image Text:**The general solution to the equation**
\[ y'' + 4y' + 3y = 0 \]
**has the form**
\[ c_1e^{at} + c_2e^{bt} \text{ where } a < b. \]
**Determine the values for:**
\[ a = \boxed{} \]
\[ b = \boxed{} \]
**Now suppose that the initial conditions are**
\[ y(0) = 1, \quad y'(0) = 0. \]
**Then solve for:**
\[ c_1 = \boxed{} \]
\[ c_2 = \boxed{} \]
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