Find f' (7. 50) from the following table : 7. 48 · 195 7. 47 7. 49 7. 50 7.51 7. 52 7. 53 y=f (x): 193 198 · 201 · 203 · 206 · 208

Q: Evaluate the given Laplace transforms. (Write your answer as a function of s.) L{1} %3D L{t} Use…

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Q: Solve: y(³) _ty=0, y(0) = 0, y'(o)= 1, y " (0)=0

A: Given differential equation is: y'''-ty=0 Initial conditions are: y0=0,   y'0=1,   y''0=0 We have to…

Q: 2. Laplace transforms of the function e^-2t is * 1/2s s+2 O 1/(s+2)

A: We have to find the Laplace transformation of the given function.

Q: To find the Laplace transform of e^(6t)cos(at)you would substitute  into s/(a2+s2) which gives ?…

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Q: (c) F{-h(x+ 1) + 2h(x) – h(x – 1)}, where h(x) is the unit step function defined on page 235 of the…

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Q: Tind the reduction hormulas Sinx cosxdx P. Connect ehe integral Sinx cos with and the evaluate the…

A: Given,           ∫sin12xcos3xdxWe know that,             The reduction formula for the integral is…

Q: 1 (ii) Lª. 1+/s]

A: The solution are next step

Q: 4. Laplace transform is * Proper integral Improper integral both

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Q: Transform the equation y + (ar - v + by = 0; y = Vau(x) Use given substitution and show that above…

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Q: Prove the identity. sinh(x + y) = sinh(x) cosh(y) + cosh(x) sinh(y) sinh(x) cosh(y) + cosh(x)…

A: Given identity for proof is  Sinh(x+y) = Sinh(x)Cosh(y)+ Cosh(x)Sinh(y)

Q: x'+2y'+x=0, x'-y'+y=0, x(0)=0, y(0)=121

A: See solution in image Explanation:

Q: for 0sxs 10 for r> 10 sin(x) for 0srs2x for x> 2x

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Q: Solve the following ODE using Laplace Transform: 1. 6y" + 5y" + y' = 0 y(0) = -2,y'(0) = 2,y"(0) = 0

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Q: A pea shaw that oA = A"! P(AY = (A)"

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Q: 6. (sin' 20 cos' @ dө 8. (sin? x сos' x dx

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Q: What is the first step when solving the IVP using the Laplace Transform? O Take the Laplace…

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Q: Using Laplace transforms. Solve y" + 4y′ + 3y = e^t. When, y(0) = 0 and y′(0) = 0. Whole Solution

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Q: 1 Proof (I): (sinhx)' = Vx? +1

A: Given: The equation is sinh-1x'=1x2+1. To prove: The main aim is to prove the equation. Concept: The…

Q: NEED ASAP!! By using laplace transform to solve y’-y=cosht with y(0)=0, what would be the particular…

A: First we will take the Laplace transform of both sides then we will use the initial condition y(0) =…

Q: 1. Use the Modified Euler's method to find y when x = dy 0.1 to 0.2 given that = √√x + y for y(0) =…

A: Modified Euler's method uses the formula: ym+1=ym+hf(xm+12h,ym+12hf(xm,ym)) to perform the…

Q: y" + ay '- 3y sin 2x y o) =y'0) =12

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Q: State TWO (2) dissimilarities between Green’s and Stokes’ theorems.

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Q: Fourier cosine integral (a) representations : =x² + a² if 0a.

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Q: En=1 sin(an n! U-

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Q: Find Laplace treins form for Ý +4Y+3Y = e y(o) =y co) = 1 %3D %3D

A: Formula Used:L{y''}=s2Y(s)-sy(0)-y'(0)L{y'}=sY(s)-y(0)L{eat}=1s-aL{tneat}=n!(s-a)n+1

Q: solve (x^2y"-xy'+y=(x^2+1) using laplace transformsPlease show all your work, and do not use eulers…

A: This is an exercise in solving differential equations by using Laplace transforms (and its…

Q: Use the Laplace Transform to find (1 the solution of the ordinary differential equation : y`+3y`-4 y…

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Q: Consider the general formula for error propagation (the Differential Calculus approach) N Af = [ i=1…

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Q: According to the table of Laplace transforms, L{sin kt} k What is the meaning of k? g2 +k² Degree of…

A: Check the table of all Laplace transforms. Now check the Laplace transform of Lsin at. A variable is…

Q: By using Laplace transform to solve y"-y e' with y (0) = 1 and y (0) = 0 ,what would the particular…

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Q: {; .0 2 FİND THE LAPLACE TRANSFORM OF THE FUNCTİON WİTH THE HELP OF THE DEFİNİTİON .(DEFİNİTİON…

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Q: OForm patial differential equation by elinsinating arbitrary functions f and g from 2 = f) +y9(x) a)…

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Q: Solve by Laplace transform for the give ode 2x"(t) + 2x'(t) + x(t) = u(t), x(0)=0, x'(0)=0

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Q: Solve: (5) you _y=o, ylo1=0, y '/01 = 1, y "101=0, you (0)=0

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