Use the Laplace transformation to solve the problem: o'u o'u x>0, t>0 %3D u(0,t) 4t+10 sinh 1t, lim u(x,t) = 0, t>0, %3D utx, 0) = 0, u,(x,0) = 0, x> 0. %3D %3D

Q: d'u d'u Verify dxdy dydx -1X for the function u = tan" y

A: We need to find second order partial derivative

Q: ate: y = tan(rsecz)

A: Please refer to the image below

Q: differenetiate parametrically to find dy/dx in terms of t:  x=1/t+1 , y=2t^2-4

A: please use according to form i did solved two equation because your question is not write clear that…

Q: Let f(x, y, z) = x'e sin(x yz) %3D 12 find dyəzd' x at the point (2, 0,0)

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Q: Get the partial derivatives δω θω дх’ ду δω given that Əz w = Arc sin (x² + y) — tan 2z + 1 and

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Q: 3 z'= 2(x"+Z) Arrang e in linear form: dy Q) or dx

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Q: Differentiate: y = cot(xcsca) = cot x (xcsca - 1) csc (zcsca) Oy = cot x (xcscx +1) csc (xcscx) =…

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Q: Let f(x,y)=tan^-1(y,x). Find and simplify fx and fy. Then find and simplify fxx, fxy, and fyy.

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Q: Integrate f(z) over unit circle C and indicate whether Cauchy's theorem may be applied (4) f(z) =…

A: With the help of Cauchy theorem of integration we solve this problem.

Q: integrate the function f(x,y) = x^2 +y^2 over the unit circle

A: In this question we  integrate the function f(x,y)=x2+y2 over the unit circle the unit circle…

Q: Find div F and curl F if F(x, y, z) = 9ei - 3 cos y j + 2 sin² z k. div F= curl F=

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Q: Determine whether the equation defines y as a linear function of x. If so, write it in the for…

A: For the given function, 2√x +3y= 0 3y= -2√x y= -(2/3)*√x So y is not a linear function of x.  Option…

Q: Describe the bifurcation when A is the parameter.   dy/dt = e^-y^t +A

A: The differential equation you've provided is a first-order ordinary differential equation (ODE) with…

Q: Find the maximum value of  sinx+cosx at [0,pi]

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Q: The equation of the tangent to the curve y=4+ sin' x at X=0 is O y = 4 O y = 2 O y = 6 O y = 3

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: ii. Determine if the following sets of vectors are linearly independent or linearly depnde 1. (3,-1)…

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Q: ·볼+1 2x - y dx dy, Use the transformation to evaluate 2x-y where u = v = % and integrating over an…

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Q: 3. Bir f (1,y, 2) = ee cos 5z fonksiyonu veriliyor. a) grad f (r, y, z) =? bulumuz. b) Bu…

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Q: Laplace Transformation f(t) = t^3 sint f(t) = ( 1 + cosht) ^ 2 f(t) = sin ^ 2 ( t + π ) f(t) =…

A: Ans:Givenf(t)=t3sintThenLf(t)=?we  know  that Ltng(t)=(-1)ndndSnG(S),where G(S)=Lg(t)----(1)Here…

Q: CD has coordinates C(-8,-2) and D(-4,-12). determine the coordiantes of C'D' if (x,y) -> (1/2x,1/2y)…

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Q: Parameterize the following 1.) cos(z^4)+1y=1 (a surface) 2.) x^2 +5y^2=25 (a curve in R2) 3.)…

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Q: Determine the greens function for the ball B= { (x,y ) : x^2 +y^2 < 9 } x,y belongs to R^2

A: To Determine :- The green function for the ball B = x,y : x2 + y2 &lt; 9  x , y belongs to ℝ2.

Q: tion 16 of 17 Let P be the tangent plane to the graph of g(x, y) = 18 – 9x - 18y at the point (4,…

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Q: Solve X' Uxx - Y Uyy = 0 x,y>0 also find its canonical form

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Q: Find the equation of the tangent point

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Q: What are the coordinates of V after the transformation (T • D5)(ATUV) for T(-1,-1), U(-1, 2), V(2,…

A: Given transformation is T3,−2∘D5△TUV for T−1,−1, U−1,2, V2,1. We have to find the coordinates of V…

Q: Sketch the bifurcation diagram for r' = x3 - ax.

A: Consider the given differential equation x'=x3-ax. Therefore at equilibrium point, x'=0. That is:…