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Question: How do I solve a differential equation in Maple?

Question:How do I solve a differential equation in Maple?

WA573 80 Maple 2022
eigenvalues differential-equations
January 10 2023
1
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restart
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with(DEtools); with(LinearAlgebra)
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diff(u(x, t), t) = [Matrix([[0, (1/2)*mu*k^2], [2*A^2-(1/2)*mu*k^2, 0]])]*u(x, t)

diff(u(x, t), t) = [Matrix(%id = 36893489823894642308)]*u(x, t)

 (1)
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"where u(x,t)=[u1 u2]^(T) is a vector. The solution of differential equation (1) is u=v*exp(w*t)."
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where*w^2 = -(1/4)*mu^2*k^4+mu*k^2*A^2
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"How can we solve differntial equation*(1) on Maple"?""

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