Given that y1 = zi cos(z) and y2 = x¯i sin(z) form a fundamental set of solutions of z*y" + zy' + (z –)» O on 0 < z < o. Use variation of parameters to find a particular solution of fy" + zy' + ( -) = 23 Yp(z)-

Q: 시e (+-2) u(1-2) T 2-7

A: Some of the proprieties of Laplace transform Lu(t-c)g(t)=e-2cL[g(t+c)] Ltneat=n!(s-a)n+1 Leat=1s-a

Q: dy + 2y = 0 dx %3D

A: # we are entitled to solve one question at a time, please resubmit the other questions if you wish t...

Q: y dy = x(1 + x²)-1/2(1 + y²)/2 dx

A:

Q: Using vectors, determine the area of the triangle whose vertices are the point P(1, 1, 1). Q(-2, -3,...

A:

Q: du at u(0, t) = 0 = u(x, t) 300 u(r, 0): sen(2n + 1)r 2n +1 n=0

A:

Q: 2. (D2 - 4D+ 4)y = e* %3D

A:

Q: Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given m...

A: As given by the question There are given that the matrix: 4-812-12-3 To find the parametric vector f...

Q: Find: Tx;Typ Txy Tyx,Txx yy T- Ln (X+2Y+32)

A:

Q: 10. Solve the following equation for 0. Find the smallest positive degree value. 4(sin(0) – 2) = -6....

A:  given 4sin θ-2=-6.25 simplify 4sin θ-2=-6.25sin θ-2=-6.254sin θ-2=-1.5625sin θ=-1.5625+2

Q: Prove the triangle inequ 3.8. Show that for a = (21,. ,In) E F,

A:

Q: Write a mathematical equation that will give you an answer 09/26/21. Provide a detailed solution.

A: A cubic equation which has roots α, β, μ can be written as follows:  

Q: What is the advantage and disadvantage of "scale diagram method" for vector?

A: Advantages and disadvantages of scale diagrams are listed below

Q: Find the general solution of this ODE: d?y dy + 10- + 9y = 7 dt? dt The solution will be of the form...

A:

Q: e lim tan(x).

A:

Q: Use the linear approximation to estimate the value of 8.01 V(1.99)(2.01)'

A:

Q: Maximize z = 8x + 2y subject to: x+y< 4 2x + y <5 x 2 0, y 20 The maximum is at (Give this answer as...

A:

Q: ху' 32хеx — у+ 6х? y +

A: simplifying the differential equation into linear form.

Q: Question 7 Evaluate the value of v-10 x v-7 A imaginary B) -V70 c) V17 D) v70

A:

Q: Select th -2 12. Perform Gauss-Jordan elimination on the augmented matrix shown 303IO

A:

Q: At a certain point, the angle of elevation of the cliff is measured at 55°. Measured a distance 11 m...

A:

Q: Exercise 9: Line 1 has equations x =-1+2s , y= 1-2s and z = 1+4s. Line 2 has equations x = 1-t, y =t...

A:

Q: Positive Undefined Zero Negative

A: There is no such introduction for the question.  I am solving it. please go through it.

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

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

Q: How much is the amount of an ordinary annuity of which yearly payment of php25,000.00 for 20 years e...

A:

Q: Supply a third column so that the matrix will be orthogonal: V5/5 2/3 2/5/5 -1/3 0 2/3

A: The given question is related with orthogonal matrix. Given the matrix ,                            ...

Q: 1. • If r + 1| < o, prove that |r³ + 1| < 0.331.

A: Here we use the fact  | x |&lt; a implies  -a&lt; x &lt; a .

Q: : solve and analyze each of the following problem in neat and orderu m mine the general solutions of...

A:

Q: Find the general solution of the system whose augmented matrix is given below. 10 -5 0 -4 7 0 1 0 3 ...

A:

Q: If X {£,P,$} and Y = {O,e,0}, which of the following statement(s) is/are NOT %3D true? i. The two se...

A:

Q: Topic: interpolation and polynomial approximation             1 + 2x - x3 , on [ 0 , 1] f(x) = {   ...

A:

Q: The graph to the right shows a region of feasible solutions. Use this region to find maximum and min...

A:

Q: Find: WxtWy,Wxy Wxy,Wxx Wyy W= I+xy= -z²

A:

Q: dy Solve the IVP (2xy?+4)=D2(3-x²y) y(-1)=8 the constant C is Select the correct answer. O a. O b. N...

A: The given problem is to solve the given differential equations by checking the exactness of the ordi...

Q: Let A, B and C be 3 languages over the same alphabet: AtLeast2(A.B.C) = {w|w is in at least 2 of the...

A:

Q: 4. Consider the cone z = x² + y?. (a) Show that the tangent plane to this surface at any point (xo, ...

A:

Q: Prove or disprove whether the function f (r) = a +2 is a bijection from R R %3D

A:

Q: continuous! bx + a 5x lue of o4h is

A:

Q: 2. Let X, Y and Z be sets. A, B are subsets of X. f:X → Y is a function. Prove the given statement i...

A:

Q: 5. Parametrize the contour depicted below that consists of three line segments; semicircle centered ...

A: As per the question we have to parametrize the given anti-clockwise conture in the 2d complex plane,...

Q: Consider f(x) = xe The Fourier Sine transform of f(x) F,f(2) = The Fourier Cosine transform of f(x) ...

A: Solution

Q: (x+1)dy = (2xe* - xy - 2y)dx %3D

A: Given  x+1dy=2xe-x-xy-2ydx....(1) Here, we have to solve the differential equation.

Q: Find: WxtWy sWxy Way,Wxx Wyy,Wz, Wzz WZx;WZy, Wyz, Wxz W= sinh (xy-Z)

A:

Q: Solve the differential equation by variation of parameters. 4y" - y = ex/2 + 4 y(x) =

A:

Q: Solve the problem with Neumann boundary conditions, Ut – Uzz = 0, x,t > 0| u(x,0) = f(x) и, (0, t) —...

A: As given by the question There are given that the equation: ut-uxx=0, x, t&gt;tux, 0=fxux0, t=0 And,...

Q: how that fuGe)= x" (1-x") converges bintwise # se G, 1]. Is fn G) Thyenges %3D uni formly?

A:

Q: Given the relation a : N N defined by Answer True or False. Provide a rationale for every answer. n(...

A:

Q: Compute the convergence set for the following power series. Use interval notation for your answers. ...

A: The given problem is to find interval of convergence for the given power series.

Q: Amanutacturing oompany receives orders for engines trom two assembly plants. Plant I noeds at least ...

A:

Q: • Graph f (x) = x° + 3x² + 3x + 3 using -2, and the interval -2, –1.7], find each of the following w...

A: There is a change in every function. When the variable moves, it is obvious that the function also m...

Q: How many rows of A contain a pivot position? Does the equation Ax = b have a solution for each b in ...

A: