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Problem 4. (1 point) Find the function y1 of t which is the solution of 36y -36y =0 with initial conditions y1 (0) = 1,

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Problem 4. (1 point) Find the function y1 of t which is the solution of 36y" -36y =0 with initial conditions y1 (0) = 1, y', (0) = 0. yI = Find the function y2 of t which is the solution of 36y" -36y = 0 with initial conditions y2(0) = 0, y'2(0) = 1. y2 = Find the Wronskian W (t) = W(y1, y2). (Hint : write y1 and y2 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 y1 and y2 form a fundamental set of solutions of 36y" - 36y = 0

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