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(Solved): Find the function y oft which is the solution of 100y" - 25y = 0 with initial conditions y ( ...



Find the function y? oft which is the solution of
100y - 25y = 0
with initial conditions y? (0) = 1, 3?(0) = 0.
Y1
Find the

Find the function y? oft which is the solution of 100y" - 25y = 0 with initial conditions y? (0) = 1, 3?(0) = 0. Y1 Find the function y2 of t which is the solution of Find the Wronskian 100y" - 25y = 0 with initial conditions y2(0) = 0, y/2? (0) = 1. Y2 W(t) = W (31, 32). (Hint: write y? and 2 in terms of hyperbolic sine and cosine and use properties of the hyperbolic functions). W(t) = Remark: You should find that W is not zero and so y? and y? form a fundamental set of solutions of 100y" - 25y = 0.


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