Solve the differential equation dy (y"z) 10 = 1+ x. %3D dx Use the initial condition y(1) = 2. Express y" in terms of x. y11 11 11 In (r) + 11+ 4194293 %3D

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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100%
Solve the differential equation

\[
\left( y^{10} x \right) \frac{dy}{dx} = 1 + x.
\]

Use the initial condition \( y(1) = 2 \).

Express \( y^{11} \) in terms of \( x \).

\[
y^{11} = 11 \ln(x) + 11x + 4194293
\]
Transcribed Image Text:Solve the differential equation \[ \left( y^{10} x \right) \frac{dy}{dx} = 1 + x. \] Use the initial condition \( y(1) = 2 \). Express \( y^{11} \) in terms of \( x \). \[ y^{11} = 11 \ln(x) + 11x + 4194293 \]
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