as follows: ga)= 2X+ 1 f« ) = X- 2 %3D %3D (a) Defing bot h applications ņ= fogh-gof %3D 16) Find h you (4) s ņ (4) and what do conclute from thet ?

Q: 1- If y+3y = 8 then g-solution is %3D a- y+ 6 = 1 In (8-3y) = x +c a.

A:

Q: Show that general solution of the second-order difference equation: ya+2 - Gyk+1 + 8yk = 2+ 3.k –…

A: Solve the second-order difference equation:                      yk+2-6yk+1+8yk=2+3k2-5.3k Find the…

Q: ITEM #3: SOLVE THE SEPARABLE DE 20. y'(1) y(4r + 1). y(0)

A:

Q: Solve the problem: max/min U = xy subject to x2 + y2 2 %3D

A:

Q: 2. Find general solution of the DE y" + 3y" + 3/ + y = 0

A:

Q: П. Solve xау + (3х 2y)ax = U in two ways

A:

Q: Solve the boundry - Valued PDE 24 = 4 34 84 by ulory)=8e³y using the genral method ans: u(x,y) = 8 e…

A:

Q: : Discuss the existence and unique solution for the IVP y'= 3y3, y (0)=0

A: This question is related to Differential Equations

Q: 5- Find L-1 5² (s²+4)² by using Convolution theorem.

A:

Q: What is the particular solution for y′=6e^x+x^2−7x such that y(0)=6?

A: Given problem:- y'= 6ex+x2-7x  Particular solution for given differential equation when y(0) =6

Q: Find the general solution of y' + ny = emx for all m, n. Note: The case m = −n must be treated…

A:

Q: Ive the following using Gaussian elimination: 4.x + 17y + 13z=19 x+ 5y +7z=10 2x + 16y + 18z=23

A:

Q: ди ди + 2y ду ди ди 2x³y Əx az ax

A:

Q: the value of lambda such that y=e^lambda*x is a solution of y''x-4y'+20=0 as: could you help me…

A:

Q: The management of hartman rent a car has allocated $1.5 million to buy a new fleet of automobiles…

A: Let f is number of full , c is number of compact, i is number of intermediate size cars Total cars…

Q: A solution of a DE which is not exact and falls under Case 3 i.e. a2 can alone be solved by b2 DE…

A:

Q: 4) Find the general solution of the 2nd order PDE 2и. - Зи,, +4и, 3D10 6) +** s (3x +2y) answer:

A: Given : 2nd order PDE       2uxx-3uxy+4ux=10                 --------- (1) To find : general…

Q: per integral test, SELECT ALL AP A) (-1)" B) none of these 8n2 + 3n + 3 (-1)" dz 8z2 + 3z + 3…

A:

Q: 28.If the Wronskian of any two solutions of y″ + p(t) y′ + q(t) y = 0 is constant, what does this…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: x + 2y - z = = 3 2xy + 2z = 6 r - 3y + 3z = 4 x

A: given equations are as follows:- x+2y-z=32x-y+2z=6x-3y+3z=4

Q: use Gaussian Jordan 2メ+4y+ 6Z = 18 4x+ Sy + 6Z = 24 3x + Y -2Z =4 thy answer should be like this:…

A:

Q: Use the theorem of Leibniz in the following problems: If y=x³e2x find y(m) and hence y(3). julm) =…

A: Leibniz rule states that (f(x)⋅g(x))n=∑r=0n Cr nf(n−r)(x)⋅gr(x) Let fx=e2x and gx=x3

Q: 1. Determine all possible solutions of ²u ex² = d²u oy ² by using variable separable method. 7

A: The given problem is to solve the given partial differential equation by using the method of…

Q: 3t yy"2y

A:

Q: Find the general solution of (3D2 + 5DD' - 2D'2)Z = 10 cosh(2x + 5y).

A:

Q: 3. Let u(x, t) be the solution to 5ætu, – ut = 0, u(x,0) = 3x², x > 0 - obtained using the method of…

A:

Q: 5. (a) Solve the cauchy problem given by x²ux + xyuy + xu = Xx-y where (x, y) + (0,0) if u(x, xln x)…

A: Given x2ux+xyuy+xu=x-y where x,y≠0,0 if ux,xlnx=-lnx, x>0

Q: If integration using u-substitution technique is used to solve for O u = e4x Ou=1-e¹ O U= u = €²x…

A:

Q: find The Six Solutious of The eq- 6 Z+27+2

A:

Q: 2. dy axta¹ x-In√x²t)

A:

Q: 7. Solve x1,x2,x3,x4 using LU or Naïve Gauss method exz + V2x3 – V3x4 = /TI, x?x, + exz - e²x3 + x4…

A:

Q: Solve the DE using Linear First Oder Method: y +yx = x - 3. if y(0) = 2 %3D

A: Given y'+yx=x-3   if y0=2 To find the general solution

Q: az (b) Solve and ди by applying chain rule if z = In(x² – 2y), and x = u + v, y = e". dv

A:

Q: Let (x, y,) be the solution of the following equations In 2 (2x) = (3y)n³ 3Inx = 2lny %3D Then x, is

A:

Q: The general solution of 5uxx – 6uxy +uyy = 0 -

A:

Q: 2. u(z) +

A:

Q: *11. Show that the PDES xp = yq and z(xp+ yq)=2xy are compatible and hence find its solution.

A:

Q: 3. Find the complete solution of the giyen DE using the Method of Variation of Parameters: y" + 44…

A:

Q: Newton-Raphson method is applied to solv (x) = x³ + 2x –1 = 0. If the initial guess xo = 1.2 th fter…

A: Introduction: The formula of the Newton-Raphson method is given by, xn+1=xn-f(xn)f'(xn) Where f(x)…

Q: Solve the following using Gaussian elimination: 3x + 5y + 3z=1 4x + 7y + 6z=4 6x + 7y + 4z=2

A: system Ax=b is 353476674xyz=142 augmented matrix is  353147646742 R1← R1·13 =15311347646742 R2←…

Q: Find the general solution. 6y(4) + 7y" – 12y" – 3y' + 2y = 0 SHOW WORK.

A:

Q: 8) Use Gaussian Elimination to solve: x +3y-z = 13 - 5z = 23 (4x-y-2z = 14 Consier 2x

A:

Q: 1. Mr. Tejas has a total investment of Rs 10,000 in 3 bank accounts, one paying 5% interest. another…

A:

Q: An industrial concern has experimented with several different mixtures of the four…

A: Step 1 From the given data we get following table, SN Mixture 1 Mixture 2 Difference…

Q: 1] Use Gaussian Elimination Method. 7X + 5Y + 2Z = 10 = 5 0.7X0.4Y+0.9Z 5X + Y + 8Z = 8 -X+Y+Z =…

A: Guidlines note As per our company Guidelines we are supposed to answer only the first question.…

Q: Solve the variational problem 8] +2y (x +y)] de = 0, given y (1) éy (2) 0. %3D

A:

Q: 3a Show that the method xn+1 = Xn 6+ Xn ,converage to vā. %3D a

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.