Laplace Transform - MTH201-03 Differential Equations...

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MTH201-03 Differential Equations Laplace Transform Important Laplace Transforms 1. 1 (1) L s 2. 2 1 () Lt s 3. 1 ! n n n s 4. 1 at Le sa 5. 22 (cos ) s L 6. (sin ) a L 7. (cosh ) s L 8. (sinh ) a L 9. ( ( )) 1 ( ( )) as L t a e  10. 1 ( ( )) L H t a e s Properties of Laplace Transform 1. Linear Property 1 2 1 2 ( ) ( ) ( ) L c f c g c L f c L g 2. If Fs is the Laplace transform of ft , then ( ( )) ( ) bt L e f t F s b  3. If is the Laplace transform of , then ( ( )) ( 1) ( ) n n n L t f t F s  4. If () Lf is the Laplace transform of , and 0 if 0 ( ) ta gt
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