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Find the function y, of t which is the solution of 49y" + 14y'- 35y = 0 with initial conditions Yı (0) = 1, y (0) = 0. Find the function y, of t which is the solution of 49y" + 14y'-35y 0 with initial conditions Y2 (0) = 0, (0) = 1. Find the Wronskian W (t) = W(y1, 2). W (t) = Remark: You can find W by direct computation and use Abel's theorem as a check. You should find that W is not zero and so y, and y2 form a fundamental set of solutions of 49y" + 14y' - 35y = 0.

Find the function y, of t which is the solution of 49y" + 14y'- 35y = 0 with initial conditions Yı (0) = 1, y (0) = 0. Find the function y, of t which is the solution of 49y" + 14y'-35y 0 with initial conditions Y2 (0) = 0, (0) = 1. Find the Wronskian W (t) = W(y1, 2). W (t) = Remark: You can find W by direct computation and use Abel's theorem as a check. You should find that W is not zero and so y, and y2 form a fundamental set of solutions of 49y" + 14y' - 35y = 0.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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Find the function y1 of t which is the solution of 49y" + 14y' – 35y = 0 with initial conditions Y1 (0) = 1, y (0) = 0. Find the function y2 of t which is the solution of 49y" + 14y'- 35y = 0 with initial conditions Y2 (0) = 0, (0) = 1. Y2 = Find the Wronskian W (t) = W(y1, Y2). W (t) = Remark: You can find W by direct computation and use Abel's theorem as a check. You should find that W is not zero and so y, and y2 form a fundamental set of solutions of 49y" + 14y – 35y = 0.
Transcribed Image Text:Find the function y1 of t which is the solution of 49y" + 14y' – 35y = 0 with initial conditions Y1 (0) = 1, y (0) = 0. Find the function y2 of t which is the solution of 49y" + 14y'- 35y = 0 with initial conditions Y2 (0) = 0, (0) = 1. Y2 = Find the Wronskian W (t) = W(y1, Y2). W (t) = Remark: You can find W by direct computation and use Abel's theorem as a check. You should find that W is not zero and so y, and y2 form a fundamental set of solutions of 49y" + 14y – 35y = 0.
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