If y₁ is the particular solution of the differ- ential equation 3.x² -7 which satisfies y(1) = 5, determine the value of yn (2). dy 2y da x 1. y₁ (2) 15 2. y1 (2) = 16 yı 3. y₁ (2) 4. y₁ (2) 5. yı (2) = = 14 17 18

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Question
If \( y_1 \) is the particular solution of the differential equation

\[
\frac{dy}{dx} - \frac{2y}{x} = 3x^2 - 7
\]

which satisfies \( y(1) = 5 \), determine the value of \( y_1(2) \).

Options:
1. \( y_1(2) = 15 \)
2. \( y_1(2) = 16 \)
3. \( y_1(2) = 14 \)
4. \( y_1(2) = 17 \)
5. \( y_1(2) = 18 \)

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Transcribed Image Text:If \( y_1 \) is the particular solution of the differential equation \[ \frac{dy}{dx} - \frac{2y}{x} = 3x^2 - 7 \] which satisfies \( y(1) = 5 \), determine the value of \( y_1(2) \). Options: 1. \( y_1(2) = 15 \) 2. \( y_1(2) = 16 \) 3. \( y_1(2) = 14 \) 4. \( y_1(2) = 17 \) 5. \( y_1(2) = 18 \) There is a "SUBMIT ANSWER" button on the right side.
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dydx-2yx=3x2-7

 

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