Find the function y of t which is the solution of with initial conditions y (0)...
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Find the function y₁ of t which is the solution of with initial conditions y₁ (0) = 1, y (0) = 0. Y1 = Find the function y2 of t which is the solution of with initial conditions y2 (0) = 0, y (0) = 1. Y2 = Find the Wronskian 100y" + 100y' + 9y = 0 100y" + 100y' + 9y = 0 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 y₁ and y₂ form a fundamental set of solutions of 100y" + 100y' + 9y = 0. Find the function y₁ of t which is the solution of with initial conditions y₁ (0) = 1, y (0) = 0. Y1 = Find the function y2 of t which is the solution of with initial conditions y2 (0) = 0, y (0) = 1. Y2 = Find the Wronskian 100y" + 100y' + 9y = 0 100y" + 100y' + 9y = 0 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 y₁ and y₂ form a fundamental set of solutions of 100y" + 100y' + 9y = 0.
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Related Book For
Chemistry
ISBN: 9781305957404
10th Edition
Authors: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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