d²x 2. dt dx dx 2- + 3x = 0 x(0) = 1, (0) = 0 - dt2 dt

Q: 8. 4 sin(at +b), where a and b are constants.

A:

Q: Find 4 e" dt This can not be done.

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Q: Question 2 Find the inverse Laplace transforms of the following functions: A) B) S 2s² + 128 4s²+1…

A:

Q: Find the Loplace inverse For the -10 S + 8$ +29 (2 8- 38+ 7)2

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Q: find Laplace Transforms e -St 2 Cos 5t-3 Sin St

A:

Q: Use the Second Shift Theorem to determine the following i.

A: Second shift theorem is another form of Laplace transformation when there are two functions one…

Q: okay that makes more sense thank you, but you didn't decompose before taking the laplace inverse, is…

A: As per your question we have to explain whether we have to first decompose (partial fraction…

Q: Find Laplace Inverse for the following S+1 S+7 2) S2 +25+2 3) S2+4S+8

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Q: 3) f(t) = 7t2 - te-4t Ans. 14 (s + 4)²

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Q: Find Laplace Inverse Gs) (S+2) ( s²+ zSs+z)

A: The solution is given as

Q: Find Laplace transform for the following. 21

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Q: Pinverse aplace in of S 25²-1 1 (5² +49) ²

A: We have to find the inverse Laplace transform of the functions s2s2-1 and 1s2+492.

Q: 10. Show that L(cos- 3t – sin“ 3t)= 36 s2+36

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Q: How many poles does the Laplace Transform of a square wave have?

A: The Fourier series for square wave is fx=4π∑i=1,3,5,...∞1nsinnπxL. The Laplace transform is…

Q: lve the associated Euler–Lagrange equation for the functional.

A: The associated Euler-Lagrange equation for the functional isLets solve it.

Q: Your Data Fill the table with your personal information with the following steps: t x(t) y(t) • Use…

A: In statistics the term covariance is used to find the joint variation between two…

Q: Example 4: Find inverses if they exist, by inspection or by Gauss-Jordan: A = 1 1 0 0 1 1

A: The given question is solved below.

Q: 5. L-1 s+1 s²+2

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Q: S 2 S+S-20

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Q: We generally cannot obtain new Laplace transforms from known ones. O True O False

A: Given: Given statement "We generally cannot obtain new Laplace transform from known ones". To…

Q: s4 – 12s + 36 f(t) = sinh 3t + cosh 3t – 2t3 Ans. s4(s - 3)

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Q: - L-1 s-1 (s²+9) +9)} Find laplace inverse.

A: To Find: Laplace Inverse ℒ-1s-1s2+9

Q: Laplace inverse (ln(3x))

A: If Lft=Fs then Ltft=-ddsFs, therefore further simplification will give: tft=L-1-ddsFsft=-1tL-1-ddsFs

Q: 1 The Laplace inverse of 38 - is 5 3 3. 3

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Q: - 10 S + 88 +29 2 (2 %-3S+ 구) 2

A: 1) Give Laplace function to find inverse is  L-1-10s2+8s+292s2-3s+72 It can be noted that L-1Fs is a…

Q: A jungle has 400 monkeys, and it is estimated that the maximum population of the monkeys in the…

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Q: Find the LaPlace Inverse: 2s 3 s2+8s+25

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.