Solve the wave equation using Fourier Transform: o'u ou - ∞ 0 %3D -12x utx, 0) = H(x)e u, (x, 0) = 0. %3D

Q: 31²+1 dt = Compute:

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: dy IN QUESTIONS 1-13, FIND dx' 1. y = (2x³ – 9x + 1)°

A:

Q: use two and three points of Gaussian-Quadrature method to Find 1 = e" e(1+sinx) dx

A:

Q: -2Y dy y°e

A: The given integral is: I=∫y3 e-2y dy

Q: x =t +2 'y = t² - 1it E [-3,3] x = 4 cos t b) y = 3 sintit e [0,2m) graph graph a) Eliminate the…

A:

Q: дz az Use the chain rule to find and Əs Ət əz Əs əz at = = ¹(=), z = tan u = 3s + 5t, v = 5s - 3t

A:

Q: -x-1 a) y' = +2yi-1 v(0)=1

A:

Q: Let u(x,y)=4x+3x2y−y3. Part (a) Show that u is a harmonic function. Part (b) Find a harmonic…

A: The given problem is to show that the given function u(x,y) is harmonic function and also to find…

Q: Y"-2y'+2y=e^2x(cosx-3sin) by using variable coefficients

A:

Q: 2 Express the flowing equation in Cartesian equationr = 1-cos e

A: The given polar equation is: r=21-cosθ

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: Can i get help step by step please

A: The given expression is

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: Find stationary points of y = cos (4nt)

A: given function is

Q: Determine the general solution: (dx/dt)A3 - (dx/dt)^2 - 4x = 0 Select the correct response: O y= c1…

A: Topic:- differential equations

Q: NAME: dy IN QUESTIONS 1-13, FIND dx 1 2. у 3D х6-6х+4

A: Derivative problem.....

Q: Suppose F(x, y) = −y sin(x)i + cos(x)}. (a) Find a vector parametric equation for the parabola y =…

A:

Q: 1/w cos Tº If h(w) = 10 -dz then h'(w) = (m),4

A: Given:-h(w)=∫101wcosx9x2dxTo find: h'(w)

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

A:

Q: Can i get help step by step please

A: Apply the product rule of derivation and find dy/dx,

Q: A particle is moving in space with position function R(t) = (cos(4t), sin(4t),5 – 3t) Determine the…

A: We will use concept of arc length in 3d We want to determine the length of a vector function,…

Q: + Find the maximum value of isu = Sinn Siny Sincnty) U

A: The given problem is to find the maximum value of the given function u=sin(x)sin(y)sin(x+y).

Q: Let F = (t + 4) i +² sin(41) j+ t^k, G = e' i+ 4f* cos(t) j+ e$t* k and 512 -i+ 4² j+te²ª k 1 +t H =…

A: Given :  F=(t+4)i+t^ 2 sin(4t)j+t^ 4 k G=e^ t i+4t^ 4 cos(t)j+e^ 5t^ 2  H = (t ^ 5)/(1 + t) * i + 4t…

Q: Section 2.6: #2) Find dydk by tmpHet differentiation- Cos Cxy) = 1 + Cin COs

A:

Q: C 3X -2 3X Se ³x (e³x +4)² dx

A:

Q: Harry fills up his Jeep with gasoline and notes that the odometer reading is 23,511.9 miles. The…

A:

Q: The standard form of 3dy-xydx= 3y³e/3 by Bernoulli's ec 4x/3 dx 3 A dy ху = 3e**/3y3 dx 3 'x=…

A:

Q: Solve  using wave equation: u(0, t) = u(π, t) = u(x, 0) = 0, du/dt | t = 0 = sin(x)

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.