Solve using Lapiace transform: P4t - uz = xt, t> 0, u(0, t) = 2, u(x, 0) = 1. = 2, u(x,0) = 1. %3D %3D

Q: Let r(t) = Find f(t)dt ( )dt (don't include the +C) fF(t)dt = <[ Calculator 1 Check Answer

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Q: v (m/sec) → (sec) 0 A 2 3 4 6 -2

A: The value of the integral ∫abf(x)dx from the graph is obtained by the area covered by the function…

Q: The equations ry? + 8zzcos(u) + ye" = 16 and r*yz + xe" – 5u²v² = 15 are solved for u and v as…

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Q: How to find the Laplace transform of this equation? f(t)=sinh^2 t

A: Let us find the Laplace transform of the given equations in the next step.

Q: UNIVERSIT b) Given z = f (x – y, 2x – 2y, 3x – 3y). Show that - dz dz + = 0. dy

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Q: If we call the Fourier transform of x(t) as X (w), what will be the Fourier transform of (e^bt)x(t)

A: Given: It is given that the Fourier Transform of xt is Xω. To find: We have to find the Fourier…

Q: Evaluate. t*dt

A: Evaluating the definite integral

Q: ctan x (2) Let h(x) = t dt, calculate h'(T/3). ww. t2 + 2

A: Solve the following

Q: For x = x(y + 3), y = y(x - 1), find the trace of the Jacobian at the fixed point x = 0, y* = 0.

A: Given system is x˙ =xy+3y˙ =yx-1 Fixed point :  x* =0, y*=0   Take   x˙ =fx, y,    y˙ =gx, y   then…

Q: Given the function f(t)=e^{2t}sin(3t), find the Laplace Transform, F(s).

A: The Laplace Transform is a tool used to transform a function of a real variable t (usually time)…

Q: Draw the bifurcation diagram for dy/dt = y(a-y)

A: We can use concept of critical points in order to solve the given problem.

Q: Differentiate Find y' Show all work

A: y=3xlog3x

Q: Find E(x,y) for the function x^3+y^3=9/14(xyz) at the point (2,7,39). Round your answer coefficients…

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Q: What is general solution of v = ds/dt if v = 2/t^3/2? a.-4/t^1/2 = s^2 + c b.-4/t^1/2 = s + c^2…

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Q: dy/ dx-y/x= -y ^2 /x Is it linear ? does lt become linear with a substitution v = y^ 2? does lt…

A: given equation is  dydx-yx=-y2x

Q: du/dv = (3u-v)/(u+v) partial

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Q: For the generating function A(z)=- find the corresponding r≥ 0. 1-9z

A: Given: The function generating function is Az=21-9z2. To find: The numeric function corresponds to…

Q: In integrating the function fx* in Sx dx using integration by parts, what would you choose for your…

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Q: 1. Find the dy/dx of (2 Points) OY OY- 30"

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Q: d/dt [sec^3(t)] compute the derivate

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Q: f(z)=ze^tz/z^2+1 for this function find the Rez(f(z),i) and Rez(f(z),-i) .

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Q: y +2ry = e c) Find the general solution of the equation using the x^2y = u and transforms, e^x=v

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Q: v (m/sec) 0 A 2 3 4 6 →t (sec) -2/ f(x)dx

A: Solution:Given       for x=5  y=0and x=3     y=2f(x)=5-xTo find∫35f(x)dx=?

Q: Find dy dt O A. O B. O C. O D. 2 for y=(5t²-4t) ². dy dt dy dt dy dt dy dt = 2(10t-4) = 2 (5t² - 4t)…

A: Given: y=5t2-4t2We need to find dydt.

Q: Find f, and f, and evaluate each at the given point. y' ху f(x, y) = (5, –5) 1. X - y' fa(X, y)…

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Q: y" − 3y' + 2y = 4e²t ; y(0) = −3, y '(0) = 5 —e2t4e2t + et 7 7 (1+t)4e²t - 7et 8e2t - 7et -e²t 4te²t…

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