Laplace Formula List - MU18NOTES

Subject:- applied mathematics 3 [M3]

Branch: mechanical engineering and automobile engineering and civil engineering.

University: Mumbai University.

File Size:- 1.24 mb.

Format type:- PDF format.

Semester:- 4th sem.

Author:-rehan.

Type:- notes.

Contains are as below.

Laplace transformation.

Q1.Standard Laplace transform formulaes:-

   1. L(1)=1/s

   2. L[sinhat]= a/(s^2-a^2)

   3....etc..

Laplace transform types.

Type 1. Direct formula.

Type 2. First shifting property.

     + Hint:-.....

Types 3. Particular value.

Types 4. Multiplication by 't' .

Types 5. Division by 't' .

Types 6. Laplace transform of intergral .

Trigonometry formula.

1. SinA. cosB=....

2. CosA.sinB=

3. CosA.cosB=

4. SinA.sinB=

5. Sin2@=

Etc.... In books .

Laplace transform of derivatives:-

1. L[f '(f)]=...

2......

3......

Periodic function:-

Etc..from books.

Change of scale property:-

Second shifting property:-

Inverse Laplace transform formulaes:-

1.

2.

3...

Etc.

Inverse Laplace transform types:-

1. Direct formula.

2. Partial fraction.

3. Convolution theorem.

4. Log and inverse function.

5. Division by 's'.

6. Heavy function.

7. Inverse heavy function.

8. Application of differential equations.

9. Direct delta function.

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