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
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
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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![**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. \[y(x) = 7x + x^2 \ln x \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F92c05ba6-e775-4ea8-9e55-a6761b98c61f%2F81de1686-8a6e-4208-b75d-a8cab6c4b63f%2Fp06cne_processed.png&w=3840&q=75)
Transcribed Image Text:**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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