(1 point) Find the function 31 off which is the solution of 36"- 81y = 0 with initial conditions (0) = 1, (0) = 0. y1 =

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1 Point Find The Function 31 Off Which Is The Solution Of 36 81y 0 With Initial Conditions 0 1 0 0 Y1 1 (44.41 KiB) Viewed 28 times

(1 point) Find the function 31 off which is the solution of 36"- 81y = 0 with initial conditions (0) = 1, (0) = 0. y1 = -0 Find the function 32 of t which is the solution of 36"-81y=0 with initial conditions 32(0)-0, 4(0)-1. 92 Find the Wronskian W(t) W (v1, 32). - (Hint: write y, and y/₂ in terms of hyperbolic sine and cosine and use properties of the hyperbolic functions). 9 W(t) 4 Remark You should find that W is not zero and so y/₁ and 3/2 form a fundamental set of solutions of 36"- 81y = 0. Note: You can earn partial credit on this problem