The functions y = x² + C x2 are all solutions of the equation xy' + 2y = 4x², x > 0. Find the constant c which produces a solution which also satisfies the initial condition y(10) = 1.

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Exponential And Logarithmic Functions
Section11.CR: Review Problem Set
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The functions
y = x² +
с
x2
are all solutions of the equation
xy' + 2y = 4x², x > 0.
Find the constant c which produces a solution which also satisfies the initial condition
y(10) = 1.
Transcribed Image Text:The functions y = x² + с x2 are all solutions of the equation xy' + 2y = 4x², x > 0. Find the constant c which produces a solution which also satisfies the initial condition y(10) = 1.
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