In Exercises 59 and 60, two linearly independent solutions y₁ and y2 are given to the associated homogeneous equation of the variable- coefficient nonhomogeneous equation. Use the method of variation of parameters to find a particular solution to the nonhomogeneous equa- tion. Assume x > 0 in each exercise. 59. x²y" + 2xy' - 2y = x², y₁ = x², y₁ = x 60. x²y" + xy' - y = x, y₁ = x¯¹, y2 = x
In Exercises 59 and 60, two linearly independent solutions y₁ and y2 are given to the associated homogeneous equation of the variable- coefficient nonhomogeneous equation. Use the method of variation of parameters to find a particular solution to the nonhomogeneous equa- tion. Assume x > 0 in each exercise. 59. x²y" + 2xy' - 2y = x², y₁ = x², y₁ = x 60. x²y" + xy' - y = x, y₁ = x¯¹, y2 = x
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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