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WA573

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How do I solve a differential equation i...

WA573 70 Maple 2022
eigenvalues differential-equations
January 10 2023
2 2
> 

restart
> 

with(DEtools); with(LinearAlgebra)
> 

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)
> 

"where u(x,t)=[u1 u2]^(T) is a vector. The solution of differential equation (1) is u=v*exp(w*t)."
> 

where*w^2 = -(1/4)*mu^2*k^4+mu*k^2*A^2
> 

"How can we solve differntial equation*(1) on Maple"?""

NULL

Download dsol.mw

Why the expression is too large?...

WA573 70 Maple 2022
solve
November 27 2022
1 0

Why the expression of lambda[1] is too large? One of the possible values of lambda[1] should be "sqrt(1/(4*omega^2 - 4))*a[-1]". 

JCN.mw 

Error, (in PDEtools/Normal) invalid inpu...

WA573 70 Maple 2022
simplification
November 18 2022
1 2

Why is the Maple giving this error. See attched file. Further, how can we eq. of the form "A+B`*sqrt(C) = 0" by eliminating the common denominator.

CM_TW.mw

Why Maple returns empty solution?...

WA573 70 Maple 2020
syntax 2dmath pde
November 15 2022
1 2

Why Maple returns empty solution (see eq. (5))? Also, is it possible that Maple not only gives us the explit solution but also the solution steps?

> 

restart
> 

with(PDEtools, TWSolutions, declare)

[TWSolutions, declare]

 (1)
> 

with(DEtools, diff_table)

[diff_table]

 (2)
> 

U := diff_table(u(x, t))

table( [( ) = u(x, t) ] )

 (3)
> 

sys := {U[]*U[x]+U[t]-pU[x, x]+qU[x, x, x] = 0}

{u(x, t)*(diff(u(x, t), x))+diff(u(x, t), t)-pU[x, x]+qU[x, x, x] = 0}

 (4)
> 

TWS_sol := TWSolutions(sys)

(5)
> 

map(pdetest, [TWS_sol], sys)

[]

 (6)

``

Download twsol.mw

How can we determine the highest (or pea...

WA573 70 Maple 18
maximize plotting
November 07 2022
1 2

How can we determine the highest (or peak) value for every hump and at what value of (x, t) in the plot?

peak.mw

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