How to solve y"+4y= sin2t, y(0)=3 y'(0)=4 using Laplace Transform || LT solving strategy
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How to solve y"+4y= sin2t, y(0)=3 y'(0)=4 using Laplace Transform || LT solving strategy
11 037 просмотров · 2 года назад
Swati Theng Mathematics
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11 037 просмотров · 2 года назад
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Example: 𝒚^′′+𝟓𝒚^′+𝟒𝒚=𝟐𝒆^(−𝟐𝒕), 𝒚(𝟎)=𝟎=𝒚^′ (𝟎)
𝒚^′′+𝟐𝒚^′+𝟓𝒚=𝒆^(−𝒕) 𝐬𝐢𝐧𝒕, 𝒚(𝟎)=𝟎, 𝒚^′ (𝟎)=𝟏
𝑦^′′+4𝑦=sin2𝑡, 𝑦(0)=3, 𝑦^′ (0)=4
𝑦^′′+3𝑦^′−4𝑦=6𝑒^(2𝑡−2), 𝑦(1)=4, 𝑦^′ (1)=5
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