BAI GIAI NHDT TOAN KY THUAT - A. LO I CU H I 1 I M Cu 1:...

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Unformatted text preview: A. LO I CU H I 1 I M Cu 1: Cho hm bi n ph c ( 29 z cos z f 2 = , tnh ( 29 i f ' . Bi gi i: Ta c: ( 29 ( 29 ( 29 ( 29 z sin z sin z cos z cos z cos z cos z f 2 2 2 2- =- = = = V y: ( 29 ( 29 i sin i f z sin z f 2 2- = - = Cu 2: Cho hm bi n ph c ( 29 z e z f 2 = , tnh 3 i f ' . Bi gi i: Ta c: ( 29 ( 29 z 2 e 2 z 2 e z 2 z 2 e z f = = = V y: ( 29 3 i 2 e 2 3 i 2 e 2 3 i f z 2 e 2 z f = = = 3 i 1 3 2 sin i 3 2 cos 2 +- = + = Cu 3: Cho hm bi n ph c ( 29 z f , tho mn ( 29 1 6- = z z f ' v ( 29 i i f 9 1 = + . Bi gi i: T : ( 29 ( 29 ( 29 ( 29 c z z c z z dz z dz z f z f z z f +- = +- =- = = - = 2 2 ' ' 3 2 6 1 6 1 6 ( 29 c z z z f +- = 2 3 ( 29 ( 29 ( 29 ( 29 c i c i i i c i i i f +- = +-- + + = + +- + = + 1 5 1 2 1 3 1 1 3 1 2 2 m ( 29 1 4 9 1 5 9 1 + = = +- = + i c i c i i i f V y: ( 29 1 4 3 3 2 2 + +- = +- = i z z c z z z f 1 Cu 4: Tm bi n i Laplace F(s) = L {tsin3t}. Bi gi i: p d ng: ( 29 { } ( 29 ( 29 s X n ds n d n 1 t x n t L- = Ta c: { } ( 29 ( 29 2 2 2 2 9 6 3 3 2 3 2 3 ds d 1 3 sin . + = +- = +- = s s s s t t L V y: ( 29 2 4 9 6 s s s s F + = Cu 5: Tm bi n i Laplace F(s) = L {e-2t cos 2 2tsin3t}. Bi gi i: Ta c: ( 29 t t t t 3 sin 4 cos 1 2 1 3 sin 2 cos 2 + = ( 29 t t t 4 cos 3 sin 2 1 3 sin 2 1 + = ( 29 t t t sin 7 sin 2 1 2 1 3 sin 2 1- + = V y: ( 29 { } { } { } t e L t e L t e L s F t t t sin 4 1 7 sin 4 1 3 sin 2 1 2 2 2--- + + = ( 29 ( 29 ( 29 2 2 2 2 2 2 1 2 1 4 1 7 2 7 4 1 3 2 3 2 1 + + + + + + + + = s s s Cu 6: Tm bi n i Laplace F(s) = L {e-4t sin 2 3t}. Bi gi i: Ta c: ( 29 { } - = =-- 2 6 cos 1 3 sin 4 2 4 t e L t e L s F t t { } { } t e L e L t t 6 cos 2 1 2 1 4 4--- = ( 29 ( 29 2 2 6 4 4 2 1 4 1 2 1 + + + - + = s s s 2 Cu 7: Tm bi n i Laplace F(s) = L { t 3 e-2t }. Bi gi i: Ta c: ( 29 { } ( 29 4 3 3 2 3 2 6 2 1 +- = +- = =- s s ds d e t L s F t Cu 8: Tm bi n i Laplace F(s) = L {(4cos3t 5sin2t)ch2t}. Bi gi i: Ta c: ( 29 { } + = =- 2 e 5sin2t)- (4cos3t t 5sin2t)ch2- (4cos3t 2 2t t e L L s F { } { } { } { } sin2t e 2 5- sin2t e 2 5- cos3t e 2 4 cos3t e 2 4 2t- 2t 2t- 2t L L L L + = ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 4 2 2 2 5 4 2 2 2 5 9 2 2 2 4 9 2 2 2 4 2 2 2 2 + +- +-- + + + + +-- = s s s s s s Cu 9: Tnh ( 29 ( 29 ( 29 3 4 5 4 7 ....
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BAI GIAI NHDT TOAN KY THUAT - A. LO I CU H I 1 I M Cu 1:...

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