Find each transform: £{t sinh(2t)} a. b. L{f(t)}, where f(t) is the periodic function given in the diagram: f(t) W s

Q: Question For j(x) = f(x) · g(x), use the product rule to find j'(-8) if f(-8) = 2,f'(-8) = -2, g(-8)…

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Q: The continuity equation satisfied by u=2x^2+cy ,v=3y^2 .I O U=A sinxy V=-A sinxy .II O u = X+y V =…

A: The solution is given as

Q: The continuity equation satisfied by u = X+y , V = X-y .IO u=2x^2+cy , v =3y^2 .II O u=A sinxy V=-A…

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

Q: he slope of a beam subjected to a gradually applied load is given by 1²0 de +3- dt² - + 20 = 5e-³¹.…

A: The slope of a beam subjected to a gradually applied load is given by Lets use Laplace transform to…

Q: Given that L{cos bt}(s) = s². Click here to view the table of properties of Laplace transforms. Le…

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Q: solve differential eq by laplace transform the charge qt on capacitor in an lc series circuit is…

A: Consider the provided D.E,

Q: Time of waiting between calls a person recieves is random with pdf: f(x) = 3e^(-3t) let T1 and T2…

A: Given t~exp(3) It is the standard pdf of exponential distribution with parameter 3.

Q: nverse Laplace of [1 /(s^2 +s-20 )| Select the correct response: O 1/9 e^4t – 1/9 e^(-5t) O 1/9…

A: Given Laplace function is F(s) = 1s2+s-20

Q: dy Prob. 5 (a) ( ....) Given the curve x³ - xy² + y³ = 1, use implicit differentiation to find da at…

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Q: Topic: integrating factor found by inspection 1. t(st^2 + 2t +s)ds + s^2  (1-t^2)dt = 0

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Q: How do I solve the  inverse laplace(e^(-4s)/(s^(2) +36))

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Q: The characteristic equation for a 5th degree, homogeneous, constant coefficient DE is p(x)…

A: given characteristic equation p(x)=x3(x2+1)

Q: Three boats are out at sea: Boat A, Boat B, and Boat C. The crew of Boat A can see both Boat B and…

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Q: 1) y' = 2 at

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Q: dy Find given that dt x² + y² = 3x + 5y, x = 4 y = 1, and dy dt i ! dx dt = 12

A: We have to find the value of dy/dt .

Q: Differentiate (assume k is a constant) y=1/(p + ke^p)

A: y = 1p + kep

Q: Use Laplace transforms to solve the following initial value problem. x"+x=8 cos 3t, x(0) = 1, x'(0)…

A: The given D.E. is                                  x'' + x = 8cos3t                           x(0) =…

Q: d = (a, b, c).

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Q: Use the Laplace transform to solve the initial-value problem y" - 3y' + 2y = e-4t, y(0) = 1, y'(0) =…

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Q: 3) Use chain rule to find derivative of z = e* + siny x = In(t + 1) ,y=t+1

A: as per chain rule : Given equation is as below: z=ex+siny  x=lnt+1  y=t+1

Q: Calculate the higher derivative. Both are these are similar so I'm gonna throw them together  I…

A: (1)d2dt2(5cos2t)(2)h(t)=5etcsc(t)

Q: (w°t wz? -z) dw +(z² tw² -w) dz= 0

A: Let's find.

Q: Section 2.4 Chain Rule Please use chain rule & explain all work, thank you.

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Q: Use the Table of Laplace Transform to find the Laplace Transform of the given function. a. te^3t +…

A: We have tfindo the Laplace Transform of the given function. a. te^3t + 2sint b. cos^2 t c. (1 +…

Q: Derivative of the sum Suppose y = 5x^3 +8x-1. What is dy/dx?

A: If you have any questions let me know in comment box thankyou for your question.

Q: 2 tan-x dx

A: ∫x2 tan-1x dx = x33tan-1x- x26+16ln1+x2 + C

Q: dy Using implicit differentiation find at the point (0,1) for dx ysinx + xy3 = 5

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Q: Differentiate y = (t^2+2)/(t^4-4t^2+5)

A: We have to find differentiation

Q: Question | In () 3 dt, what is F' (1)? (Do not include "F'(1) =" in your answer.) If F(z) =

A: on solving this we get the

Q: Find all the first and second order derivatives of the function f(x, y) = x¹ ln(y) + €5xy + x²y³ +…

A: We are given        f(x, y) = x4 ln(y) + e5xy + x4y3 + 7x + y So, first order partial derivatives…