Laplace Transform engineering problems and solutions || Solve LT, find laplace inverse and solve DE

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Laplace transform questions and solutions
Laplace transform and its inverse
02:57 𝑺𝒐𝒍𝒗𝒆 𝒚^′′+𝒚=𝐬𝐢𝐧⁡𝒕, 𝒘𝒉𝒆𝒓𝒆 𝒚^′ (𝟎)=𝟎, 𝒚^′′ (𝟎)=𝟎
17:21 Find 𝑳^(−𝟏) {(𝟒𝒔+𝟏)/(𝒔^𝟐−𝟏𝟔)}
20:31 Find 𝑳^(−𝟏) {𝟒/((𝒔+𝟏)(𝒔+𝟐))}
24:01 Find 𝑳^(−𝟏) {(𝒔−𝟔)/( (𝒔−𝟏)^𝟐+𝟒)}
27:21laplace transform 𝑳{𝒆^(−𝒕) 𝒔𝒊𝒏𝒉𝒕}
29:51 𝑳{𝒕^𝒏 𝒆^𝒂𝒕 }
38:31 𝑳{𝒕^𝟐 }
40:41 Write 𝑳{𝒕^𝟑 𝒇(𝒕)} using a derivative of 𝑳{𝒇(𝒕)}
Find 𝐿{sin⁡〖𝑎𝑡}〗 𝑎𝑛𝑑 𝐿{cos⁡〖𝑎𝑡}〗
Trick to solve DE using LT
https://youtu.be/nRrZrML4OkU
Paper Questions of LT
https://youtu.be/4eVBJDIJWHo
Difficult questions of LT
https://youtu.be/1-Tc0RflLCc
Inverse of LT
https://youtu.be/qWBPSkMy010
Laplace Transform
https://youtu.be/rvDiC4HTcA0
Examples of Laplace Transform
https://youtu.be/-YZGn5mKyog
Solve differential equation using LT
https://youtu.be/l6uJ1JoteRY
Impotent question of LT
https://youtu.be/uU0pQ38qVzw
Example solve differential equation using laplace transform (LT)
https://youtu.be/-YZGn5mKyog
https://youtu.be/1-Tc0RflLCc
Laplace Transforms
https://youtube.com/playlist?list=PLIpgsec8oeRq6jMEANsU44KDowy3qks1k
Vector calculus
https://youtube.com/playlist?list=PLIpgsec8oeRrnA7vX2dHozXvL1zh55MPq
Multiple Integral
https://youtube.com/playlist?list=PLIpgsec8oeRpI9NYEmshRG0Qe0nH81tX7
Change order of Integration
https://youtu.be/UTmBFS29t8c
Curve : https://youtu.be/CHKbMq-m6rs
beta and gamma function
https://youtube.com/playlist?list=PLIpgsec8oeRpARvgNTZpACkoJwAnJtHAz
Finite Differences and Numerical Integra
https://youtube.com/playlist?list=PLIpgsec8oeRqhEWezE3eCn0jCw9AwYF-l
Fuzzy set
https://youtube.com/playlist?list=PLIpgsec8oeRrWxnB6qCHBprf1gmsdXVrO
Operation Research
https://youtube.com/playlist?list=PLIpgsec8oeRreaBr7cITa2N-QMX9kdvnb
Playlist partial differentiation
https://youtube.com/playlist?list=PLIpgsec8oeRo4lTHp-gmAXCvN62FmCSi-
Jacobian and maxima minima
https://youtube.com/playlist?list=PLIpgsec8oeRqo_M8lkOuBYc5iiViqlJTL
Indeterminate forms
https://youtube.com/playlist?list=PLIpgsec8oeRoMDtznK6Z-k4ysxS22kARA
successive differentiation
https://youtube.com/playlist?list=PLIpgsec8oeRqaLSFfucygSsJQDmS4IDYa
probability/ joint probability
https://youtube.com/playlist?list=PLIpgsec8oeRpV7g7sWjGisUEIklT9hh5I

Solving Differential Equations with Laplace Transform
How to Solve Tricky Differential Equations like "solve y"+4y= sin2t
The Most Efficient Method for Solving Differential Equations: Using Laplace Transform
how to use Laplace Transform to solve complex equations like "y"+4y= sin2t, y(0)=3 y'(0)=4.
Important question of Laplace Transform || Laplace Transform engineering problem and LT bsc math
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application of laplace transform questions
Example: 𝒚^′′+𝟓𝒚^′+𝟒𝒚=𝟐𝒆^(−𝟐𝒕), 𝒚(𝟎)=𝟎=𝒚^′ (𝟎)
𝒚^′′+𝟐𝒚^′+𝟓𝒚=𝒆^(−𝒕) 𝐬𝐢𝐧⁡𝒕, 𝒚(𝟎)=𝟎, 𝒚^′ (𝟎)=𝟏
𝑦^′′+4𝑦=sin⁡2𝑡, 𝑦(0)=3, 𝑦^′ (0)=4
𝑦^′′+3𝑦^′−4𝑦=6𝑒^(2𝑡−2), 𝑦(1)=4, 𝑦^′ (1)=5
laplace transform M 3
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