Solve a Partial Differential Equation Symbolically - Maple Programming Help

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Solve a Partial Differential Equation Symbolically

Description

Solve a partial differential equation (PDE) symbolically.

Enter a PDE.

ⅆⅆtux,tkⅆ2ⅆx2ux,t=0

tux,tk2x2ux,t=0

(1)

Solve the PDE.

pdsolve,ux,t

ux,t=_F1x_F2t &where ⅆ2ⅆx2_F1x=_c1_F1x,ⅆⅆt_F2t=k_c1_F2t

(2)

Build an explicit expression for the indeterminate function, if possible.

PDEtoolsbuild

ux,t=ⅇ_c1x_C3ⅇk_c1t_C1+_C3ⅇk_c1t_C2ⅇ_c1x

(3)

Commands Used

diff, PDEtools[build], pdsolve

See Also

PDEtools


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