dy (x+1)+ y = ln x dx y(1)= 10
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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differential equations
![**Problem 3**
Solve the differential equation:
\[ (x + 1) \frac{dy}{dx} + y = \ln x \]
with the initial condition \( y(1) = 10 \).
**Explanation:**
This is a first-order linear differential equation of the form:
\[ (x + 1) \frac{dy}{dx} + y = \ln x \]
Given the initial condition \( y(1) = 10 \), solve the equation by using appropriate techniques for first-order linear ordinary differential equations, such as integrating factor method.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F13675a72-9a5d-4ab9-ac06-e7f5015e8566%2Fbe7b912a-74a7-46e5-a4d2-127f741a67bf%2Fseetwi7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 3**
Solve the differential equation:
\[ (x + 1) \frac{dy}{dx} + y = \ln x \]
with the initial condition \( y(1) = 10 \).
**Explanation:**
This is a first-order linear differential equation of the form:
\[ (x + 1) \frac{dy}{dx} + y = \ln x \]
Given the initial condition \( y(1) = 10 \), solve the equation by using appropriate techniques for first-order linear ordinary differential equations, such as integrating factor method.
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