Consider the initial value problem of a system of linear differential equations x' = Ax+eAt "A], = D. x(0) : where A is a 2 x 2 constant matrix. Let y(t) = e¯ªt x(t). Then,

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A: Use L' Hospital Rule to evaluate the required limit as in next step.

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A: Yes, it is necessary to get aware of sigma properties . It help mathematics to improve itself.

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Q: 2) 1 y = ²+² x= cos(t). y = sin² (t).= =-. at t = 3 t

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Q: 1. Consider the following matrices. 2 4 0 0 1 21 (# 1 1 1 142 4 63 (3) 345 0 7 8/ -6 -10 0, 1 4 3,…

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A: This is a question from relation.

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A: We have to define fuzzy tree with example.

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Q: True or False? 11. If Γ = {[0, 1/n) | n ∈ N} then ∩Γ = [0, 1). 12. Let R be a relation on a set A.…

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Q: Solve the lim 21 following x³-x²-√2x x²-11x+18

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Q: 3. y' + (tan t)y = sin t, y(t) = 0

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Q: 5. if A.-A Cosa, A2 = A COSB A3 = A cos & and A = Aj+A₂³ +Azk then cosa + cosp + cos²/8 = 1

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