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Consider the following initial-value problem. Let af = (x + y)² = x² + 2xy + y². Integrate each term of this partial derivative with respect to x, letting h(y) be an unknown function in y. ?х f(x, y) = (x + y)² dx + (2xy + x² - 3) dy = 0, y(1) = 1 h'(y) = + h(y) Find the derivative of h(y). Solve the given initial-value problem.

Consider the following initial-value problem. Let af = (x + y)² = x² + 2xy + y². Integrate each term of this partial derivative with respect to x, letting h(y) be an unknown function in y. ?х f(x, y) = (x + y)² dx + (2xy + x² - 3) dy = 0, y(1) = 1 h'(y) = + h(y) Find the derivative of h(y). Solve the given initial-value problem.

Advanced Engineering Mathematics
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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Consider the following initial-value problem. Let af = (x + y)² = x² + 2xy + y². Integrate each term of this partial derivative with respect to x, letting h(y) be an unknown function in y. ?х f(x, y) = (x + y)² dx + (2xy + x² - 3) dy = 0, y(1) = 1 h'(y) = + h(y) Find the derivative of h(y). Solve the given initial-value problem.
Transcribed Image Text:Consider the following initial-value problem. Let af = (x + y)² = x² + 2xy + y². Integrate each term of this partial derivative with respect to x, letting h(y) be an unknown function in y. ?х f(x, y) = (x + y)² dx + (2xy + x² - 3) dy = 0, y(1) = 1 h'(y) = + h(y) Find the derivative of h(y). Solve the given initial-value problem.
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