solve (x^2y"-xy'+y=(x^2+1) using laplace transformsPlease show all your work, and do not use eulers technique once the first Laplace transform has been applied, as that is not what I am curious about. However if it is not possible to solve this particular ODE using only Laplace transforms in combination with other ODE solving techniques (once the Laplace transform has been applied). Then please let me know

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 23E
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solve (x^2y"-xy'+y=(x^2+1) using laplace transforms
Please show all your work, and do not use eulers technique once the first Laplace transform has been applied, as that is not what I am curious about. However if it is not possible to solve this particular ODE using only Laplace transforms in combination with other ODE solving techniques (once the Laplace transform has been applied). Then please let me know

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