Ordinary Differential Equations-Laplace and Inverse Laplace Transforms and Their Properties [IFS (Forest Services) Mathematics]: Questions 1 - 4 of 4

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Question 1

Describe in Detail Subjective▾

If . Then find

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Explanation

  • Here, from question given information is,

  • As we know,

… (25 more equations) …

Question 2

Appeared in Year: 2015 (IAS)

Describe in Detail Subjective▾

Obtain Laplace Inverse Transform of

[CS (Main) Paper 1]

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Explanation

  • Given is

  • Now

… (169 more equations) …

Question 3

Appeared in Year: 2019 (IAS)

Write in Short Short Answer▾

Find the Laplace transforms of and . Prove that the Laplace transform of

where is

(Paper -1)

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Question 4

Appeared in Year: 2023 (IAS)

Describe in Detail Subjective▾

Given that

Show that . Hence evaluate the integral

(Paper 1)

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Explanation

Let

… (278 more equations) …