Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 44
Gerald Goertzel, Nunzio Tralli. 3.6 Laplace Transforms According to ( 3.6 ) and ( 3.7 ) , the solution of the ... transform of u ( t ) . It may be obtained by solving Eq . ( 3.11a ) . The main reason for the introduction of the Laplace ...
Gerald Goertzel, Nunzio Tralli. 3.6 Laplace Transforms According to ( 3.6 ) and ( 3.7 ) , the solution of the ... transform of u ( t ) . It may be obtained by solving Eq . ( 3.11a ) . The main reason for the introduction of the Laplace ...
Página 49
... Laplace transform of u ( t ) , show that [ * t ^ u ( t ) dt = [ ( — _—- ) * U ( z ) ] ̧ .. Thus evaluate 1 ̧ = [ " t ′′ e ̄ * dt . - 7. Find the Laplace transform of ( a ) u ( t − a ) ( a ≥ 0 ) where u ( t ) = 0 for x < 0 ; ( b ) u ...
... Laplace transform of u ( t ) , show that [ * t ^ u ( t ) dt = [ ( — _—- ) * U ( z ) ] ̧ .. Thus evaluate 1 ̧ = [ " t ′′ e ̄ * dt . - 7. Find the Laplace transform of ( a ) u ( t − a ) ( a ≥ 0 ) where u ( t ) = 0 for x < 0 ; ( b ) u ...
Página 297
... transform , 276 Hankel's asymptotic series , 291 Harmonic oscillator , 4 ... Laplace , 44 Iteration procedures , 225-232 Jaeger , J. C. , 49 , 127 Jahnke ... Laplace inversion formula , 44 Laplace transform , 44-45 convolution theorem for ...
... transform , 276 Hankel's asymptotic series , 291 Harmonic oscillator , 4 ... Laplace , 44 Iteration procedures , 225-232 Jaeger , J. C. , 49 , 127 Jahnke ... Laplace inversion formula , 44 Laplace transform , 44-45 convolution theorem for ...
Contenido
34 | 12 |
Solution for Diagonalizable Matrices | 21 |
The Evaluation of a Function of a Matrix for an Arbitrary Matrix | 38 |
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approximation arbitrary ax² basis Bessel functions boundary conditions Chap coefficients column consider constant continuous systems contour coordinates corresponding cylindrical functions d²/dx² defined definition denoted determinant diagonal differential equation Dirac notation domain eigencolumns eigenfunctions eigenvectors elements evaluate expansion F₁ finite number follows formula Fourier given Green's function Hence Hermitian Hermitian matrix Hermitian operator infinite integral inverse Laplacian linear operator linearly independent lowest eigenvalue Mathematical matrix McGraw-Hill Book Company method multiplication nonsingular normal number of degrees obtained orthonormality conditions Physics problem relations representation result Ritz method scattering sinh solution solve spherical spherical harmonics string Substitution theorem transform trial functions vanish variable vector space Verify w₁ wave write written x₁ Y₁ yields York zero ηπχ ди ду дх