Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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![**Problem Statement:**
**Find the general solution to the homogeneous differential equation**
\[
\frac{d^2y}{dt^2} - 7\frac{dy}{dt} + 10y = 0
\]
**Solution:**
The solution can be written in the form:
\[
y = C_1 e^{r_1 t} + C_2 e^{r_2 t}
\]
with \( r_1 < r_2 \).
**Using this form, \( r_1 = \) [input box] and \( r_2 = \) [input box]**](https://content.bartleby.com/qna-images/question/ccc4b4bb-a94d-4dc4-be7d-92733a14ab19/8454237c-2832-443b-a919-8dd651167d19/ierdk17_processed.png)
Transcribed Image Text:**Problem Statement:**
**Find the general solution to the homogeneous differential equation**
\[
\frac{d^2y}{dt^2} - 7\frac{dy}{dt} + 10y = 0
\]
**Solution:**
The solution can be written in the form:
\[
y = C_1 e^{r_1 t} + C_2 e^{r_2 t}
\]
with \( r_1 < r_2 \).
**Using this form, \( r_1 = \) [input box] and \( r_2 = \) [input box]**
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