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Showing posts from May, 2021

f(t)=sin t piecewise continuity

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f(t)=e^2t piecewise continuity

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L{(e^3t-e^(-2t))/t}

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L{(cos⁡3t-cos⁡2t)/t}

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L{sin^2⁡t/t}

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L{t^2 cosh⁡at }

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L{t^2 cos⁡4t }

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L{t sin^2⁡t }

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L{(1+e^(-2t) )^2 }

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L{te^2t cos 5t}

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L{e^-2t sin 2t +e^3t }

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L{2t^2 e^-t -t+cos 4t}

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L{e^-3t cos 2t }

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L{e^7t sin^2 t }

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L^-1 {1/s(s^2 + a^2 )}

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L^-1 {(s+2)/(s-4)(s^2 + 1)}

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L^-1 {s^2 /(s^2 + 4)(s^2 + 9)}

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L^-1 {(s^2 +9s+2) / (s-1)^2 (s+2) }

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L^-1 {(7s-1)/(s+1)(s+2)(s+3)}

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L{t^4 -t^2 -t + sin⁡√2 𝑡 }

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L{1}

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L{sinh at }

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L{cos at }

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L{sin^2 t . cos^3 t }

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L{cos 4t . sin 3t }

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L{cos^4 t}

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L{sin^3 2t}

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L{cos^3 t}

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L{sin^2 3t}

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CHANGE OF SCALE PROPERTY

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SHIFTING PROPERTY

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LAPLACE . Linearity property

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L{cosh at}

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L{sin at }

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L{ e^-at} and L{ e^at }

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L{ t^n }

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Reduction formula sin^n x

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