Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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![**Problem 1: Differential Equation Solution**
1) **Find the general solution**, i.e., solution with precision up to some constant \( C \), of the following differential equation:
\[
\frac{dy}{dx} = 2x.
\]
The solution is: \( y(x) = \) [blank box] [blank box].
2) **Now using this general solution find constant \( C \) from additional condition** \( y(3) = 15 \).
\( C \) is equal to [blank box], and the specific solution \( y(x) = \) [blank box].](https://content.bartleby.com/qna-images/question/58cffe43-d701-4c21-9740-08fe8d98ee79/196ef109-5dcc-4965-a64e-3e2e96b3ec10/hrlgxea_processed.jpeg)
Transcribed Image Text:**Problem 1: Differential Equation Solution**
1) **Find the general solution**, i.e., solution with precision up to some constant \( C \), of the following differential equation:
\[
\frac{dy}{dx} = 2x.
\]
The solution is: \( y(x) = \) [blank box] [blank box].
2) **Now using this general solution find constant \( C \) from additional condition** \( y(3) = 15 \).
\( C \) is equal to [blank box], and the specific solution \( y(x) = \) [blank box].
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