**Solve the given equation..**\[ x \frac{dy}{dx} - y = x, \quad y(1) = 7 \]a. \[y(x) = 7x^2 + x \ln x \]b. \[y(x) = 7x + \ln x \]c. \[y(x) = x \ln x + 7 \]d. \[y(x) = 7x + x \ln x \]e. \[y(x) = 7x + x^2 \ln x \]

GivenWe can writeThe linear differential equation in y

Answered: Solve the given equation.. dy X -y=x,…

Solve the given equation.. dy X -y=x, y(1)=7 dx a. y(x) = 7x² + xlnx b. y(x) = 7x + Inx y(x)=xlnx+7 c. d. y(x) = 7x + xlnx e. y(x)=7x+x²Inx

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.

Chapter3: The Derivative

Section3.4: Definition Of The Derivative

Problem 6YT

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Question

**Solve the given equation..**

\[ x \frac{dy}{dx} - y = x, \quad y(1) = 7 \]

a. \[y(x) = 7x^2 + x \ln x \]

b. \[y(x) = 7x + \ln x \]

c. \[y(x) = x \ln x + 7 \]

d. \[y(x) = 7x + x \ln x \]

e. \[y(x) = 7x + x^2 \ln x \]

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