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1) Solve the following initial value problem and find the interval of validity of the solution: $$xy^{\prime}-3y=x^3,\quad y(1)=2.$$

1) Solve the following initial value problem and find the interval of validity of the solution: $$xy^{\prime}-3y=x^3,\quad y(1)=2.$$

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.9: Dividing Real Numbers
Problem 9MRE
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1) Solve the following initial value problem and find the interval of validity of the solution: $$xy^{\prime}-3y=x^3,\quad y(1)-2.$$ 2) Solve the equation Then write the solution as an explicit function of dy dx = 2x(1 + y²) X.
Transcribed Image Text:1) Solve the following initial value problem and find the interval of validity of the solution: $$xy^{\prime}-3y=x^3,\quad y(1)-2.$$ 2) Solve the equation Then write the solution as an explicit function of dy dx = 2x(1 + y²) X.
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