WA573

70 Reputation

3 Badges

0 years, 191 days

MaplePrimes Activity


These are questions asked by WA573

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 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 

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 (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 peak) value for every hump and at what value of (x, t) in the plot?

peak.mw

1 2 3 Page 1 of 3