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We have verified that x² and x are linearly independent solutions of the following second-order, homogenous differential equation on the interval (0,0). x²y" - 6xy + 10y = 0 The solutions are called a fundamental set of solutions to the equation, as there are two linearly independent solutions and the equation is second-order. By Theorem 4.1.5, the general solution of an equation, in the case of second order, with a fundamental set of solutions y, and y, on an interval is given by the following. y = C₁Y₁ + ₂Y 2 Find the general solution of the given equation. y = 4:20 pm

We have verified that x² and x are linearly independent solutions of the following second-order, homogenous differential equation on the interval (0,0). x²y" - 6xy + 10y = 0 The solutions are called a fundamental set of solutions to the equation, as there are two linearly independent solutions and the equation is second-order. By Theorem 4.1.5, the general solution of an equation, in the case of second order, with a fundamental set of solutions y, and y, on an interval is given by the following. y = C₁Y₁ + ₂Y 2 Find the general solution of the given equation. y = 4:20 pm

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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of dba 8.4 W(x5, x²) = x² 2x 5x¹1 y = = (x²)(5x¹)-(2x)(x5) The Wronskian is not 3x6 FULL 1080 HD 3.r Y = C₁Y1 + C₂Y2. Find the general solution of the given equation. Type here to search is not equal to 0 for every x in the interval (0, ∞o), therefore the set of solutions are Step 3 We have verified that x² and x are linearly independent solutions of the following second-order, homogenous differential equation on the interval (0, 0). x²y" - 6xy' +10y = 0 The solutions are called a fundamental set of solutions to the equation, as there are two linearly independent solutions and the equation is second-order. By Theorem 4.1.5, the general solution of an equation, in the case of second order, with a fundamental set of solutions y₁ and y₂ on an interval is given by the following. O 81 e R I L acer L are linearly independent. 0 32°C 0:39:49 A ENG 4:20 pm 16/07/2022
Transcribed Image Text:of dba 8.4 W(x5, x²) = x² 2x 5x¹1 y = = (x²)(5x¹)-(2x)(x5) The Wronskian is not 3x6 FULL 1080 HD 3.r Y = C₁Y1 + C₂Y2. Find the general solution of the given equation. Type here to search is not equal to 0 for every x in the interval (0, ∞o), therefore the set of solutions are Step 3 We have verified that x² and x are linearly independent solutions of the following second-order, homogenous differential equation on the interval (0, 0). x²y" - 6xy' +10y = 0 The solutions are called a fundamental set of solutions to the equation, as there are two linearly independent solutions and the equation is second-order. By Theorem 4.1.5, the general solution of an equation, in the case of second order, with a fundamental set of solutions y₁ and y₂ on an interval is given by the following. O 81 e R I L acer L are linearly independent. 0 32°C 0:39:49 A ENG 4:20 pm 16/07/2022
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