Question 6 Calculate the following inverse Laplace transforms: (6.1) L-'{4s+20. 6s-4 (6.2) L-1 {In (1+±)}

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Q: 3. Eliminate the arbitrary constants by isolation of constant y = x + C₁e* + С₂e-²x

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Q: Differential equation solution (D³ + D² – D – 1) y = e"

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A: Clearly we can see that S˙+I˙+R˙=-βSI+βSI-αI+αI=0⇒S˙+I˙+R˙=0⇒S+I+R=constant. (Integrating we get)…

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Q: dy + y = e0* dx Find the general solution of the differential equation

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Q: Consider the differential equation 2²y" – x(x + 2)y + (x + 2)y = 0, x > 0 - 3.

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.