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Option. b. how u(t) came
L(t)=1/s2
inverse lap of 1/s2 =t (only).
but here not like that why.
Y(s)/U(s) =1/s
L(1)=1/s
so
Y(t)=U(t) * 1
please tell any one weather iam correct or not?
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Option. b. how u(t) cameL(t)=1/s2inverse lap of 1/s2 =t (only).but her...
Explanation of the Laplace Transform Calculation
- The Laplace transform of 1/s^2 is indeed equal to t, as you correctly stated.
- However, in this case, it seems that you are trying to find the Laplace transform of the output Y(t) in terms of the Laplace transform of the input U(t).
- The relationship between the Laplace transforms of the input and output of a system is given by Y(s)/U(s).
- In this case, Y(s)/U(s) = 1/s, not 1/s^2 as you mentioned.
- Therefore, Y(s) = U(s) * 1/s, where Y(s) is the Laplace transform of the output and U(s) is the Laplace transform of the input.
- By taking the inverse Laplace transform of Y(s), you can find the output Y(t) in the time domain.
In conclusion, your understanding of the Laplace transform calculation is partially correct, but you need to consider the correct relationship between the Laplace transforms of the input and output to find the output signal in the time domain accurately.
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Option. b. how u(t) cameL(t)=1/s2inverse lap of 1/s2 =t (only).but here not like that why.Y(s)/U(s) =1/sL(1)=1/ssoY(t)=U(t) * 1please tell any one weather iam correct or not?
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Option. b. how u(t) cameL(t)=1/s2inverse lap of 1/s2 =t (only).but here not like that why.Y(s)/U(s) =1/sL(1)=1/ssoY(t)=U(t) * 1please tell any one weather iam correct or not? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Option. b. how u(t) cameL(t)=1/s2inverse lap of 1/s2 =t (only).but here not like that why.Y(s)/U(s) =1/sL(1)=1/ssoY(t)=U(t) * 1please tell any one weather iam correct or not? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Option. b. how u(t) cameL(t)=1/s2inverse lap of 1/s2 =t (only).but here not like that why.Y(s)/U(s) =1/sL(1)=1/ssoY(t)=U(t) * 1please tell any one weather iam correct or not?.
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