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Using v = ln u and v = f(x) + g (y), show that the solution of the Cauchy problem is y²u² + x²u² = (xyu)², u(x,0) = et² * ( 2² +²3²). i- u (x, y) = exp

Using v = ln u and v = f(x) + g (y), show that the solution of the Cauchy problem is y²u² + x²u² = (xyu)², u(x,0) = et² * ( 2² +²3²). i- u (x, y) = exp

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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Using v In u and v= = Cauchy problem is f(x) + g (y), show that the solution of the y²u² + x²u² = (xyu)², u(x,0) = ² P ( 2² +1 1²3). u (x, y) = exp x² + i- ९२२
Transcribed Image Text:Using v In u and v= = Cauchy problem is f(x) + g (y), show that the solution of the y²u² + x²u² = (xyu)², u(x,0) = ² P ( 2² +1 1²3). u (x, y) = exp x² + i- ९२२
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