1. 3x + 3y +5z = 1 3x + 5y + 9z = 2 5x + 9y + 17z = 4 Solve for x, y, z using cramer's rule and using MATLAB

Q: 12. A form of a particular solution for the DE (using undetermined coefficient method) + 3y(3) + 5y"…

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Q: Give the form of a particular solution of -4x yl4) – 256 y =2 e**+3 e+ cos(4 x) – 2 a) O z=Ae -4х +…

A: OPTION D IS CORRECT.

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

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Q: у +3у-еX denkleminin genel ҫozйтйпй bulunuz. a. y = e^(-3x)/6 + ce^(-3x) O b. y = e^(3x)/6 +…

A: The given differential equation is                                                      y'+3y=e3x…

Q: 5. Find two solutions (not multiples of each other) of the Bessel equation of order x*y" +xy' + (x²…

A: The general form of the Bessel equation is ,                                          x2y" +xy'…

Q: 2) 3x + 4y +42 =3 2x + 4y 32 =4 +32=3 Find lin eor equation system solution with the met hod of…

A: Arrange the coefficients of the given set of equations to obtain the Augmented matrix. A=3  4  42…

Q: 2- If L(x, y) = ax + by2 is a Lyapunov function at the origin for the system * = y + x³, y = -x +…

A: According to guidelines we have to solve only one question.

Q: Suppose that for a 2 x 2 matrix A, AF= 35 for 7 = • How is the pair (3, 7) called for a matrix A?…

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Q: 6. Find the orthogonal trajectories of the family of circles passing through the points (1, –2) and…

A: A Curve is called Orthogonal trajectories if it cuts every member of a given family of curves at…

Q: Solve the following DE Using Method of Undetermined coefficients; applying both (a) Superposition…

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Q: Solve the linear iterative 3 -1 -2 In In+1 6 10 6. 2 -2 -3 -4 Yn Yo Yn+1 Zn 20 Zn+1 envalues are…

A: Given: To solve the linear iterative system, xn+1yn+1zn+1 = 3-1-2-46102-2-3xnynzn,   x0y0z0 = 111

Q: Show that y=y1+y2where y1=c1cos(x) & y2=c2sin(x) is a solution to y"+y=0 and show that the Wronskian…

A: Given  y1=c1cos xy2=c2sin x To show that y=y1+y2 is a solution to y''+y=0 Take derivatives…

Q: Solve the Cauchy Euler diff eq using Wronskian Method (2x-1) r"- 10(21-1)-16y - (21-1) ln (2r-1)

A: The differential equations                              2x-12y''+102x-1y'+16y=2x-12ln2x-1 We have to…

Q: 2. Use the algorithm for Euler's method to determine approximations to the solution to the initial…

A: Solution : Given, y'=3x2y+2 y0=1 0≤x≤1 h=0.2 Euler method: 1st Iteration:…

Q: 1) Use Cramer's Ruke to solve the folowing linear system :- x+ 3y -2z = 5 4x - y -32 = 8 2x+2y -5z…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 23. Solve the Cauchy problem 1 (r+ y) uz + (r – y) uy = 1, u (1, y) = %3D

A: Given: x+yux+x-yuy=1 , u1,y=12

Q: a) The propagation of a wave u(x, t) in a long cable is described by the following initial value…

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Q: function is given by: f(x)1 − 4x cos(x) + 2x2 + cos(2x). Find the solution of f(x) = 0 within 10-5…

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Q: 1. Find homogenous solution of the following S.L.D.E using Cramer's rule. 2. Find complementary…

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Q: #3. Solve the following Cauchy problem: 2 Ou + cu = 0 - u = g where c is a constant. in /R" x(0,0)…

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Q: 2(y³ – 2) + 3xy²y' = 0,y(3) = 1 %3D -

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Q: 1.The general solution of a 2nd order non-homogenous linear ODE of the form y" + p(x)y/ + q(x)y =…

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Q: 4. Solve the Cauchy problem Utt = 9uxx+cos x, (x, t) E Rx (0, ∞) u(x,0)=0, TER u(a,0)=0, x ER using…

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Q: Hence, write down the associated modal matrix P and diagonal spectrum matrix D, and use these to…

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Q: 7. (a) What is the solution method called that converts a semilinear first order PDE into an ODE…

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Q: 3. Find the general solution of the system of differential equations 8 -5 di= 10 6 + 4t°e" ( cos(7t)…

A: Given equation is, dxdt=8-5106x+4t3e7tcos7t-7sin7t10cos7t+8t7e7t7cos7t+sin7t10sin7t To find the…

Q: 3/4 mDH= 24. If MMOP= (11x-38)' and MZLMP = (3x + 41)', find MZNMP. N M NMP= 25. If mRU = (16x –…

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Q: 1. dy +4- dt 5y = 0 dt2 y(0) 11, y'(0) = -7 =

A: To solve the given IVP first we will rewrite the given differential equation and write it's…

Q: 15. A form of a particular solution for the DE y(4) + 3y + 5y" = 72 using undetermined coefficient…

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Q: Test 1. y" - y - 2y = e by D- operator method 2. y" - 3y' +2y = ex + 6x3 - 2+ 3sin(4x)

A: 1. Now we will solve the differential equation. The genaral solution: =…

Q: Example 1. Show that the solutions of the following system of differential equations remain bounded…

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Q: Consider a particle in a box of length L with one end coinciding with the origin. It is frequently…

A: Consider a particle in a box of length L and n = 1, then,  ψ1 = 2L sin πxL Now, consider an another…

Q: 1/2 Q2. a) Using Hilbert-Schmidt method, solve y(x) = cos 2x + 2 f,"´ K (x, t)y(t)dt, where Ssin x…

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Q: 5. Compute the solution to the original system of equations by transforming y into x, i.e., compute…

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Q: In a neutron cell opening and closing of ion channels is governed by following equation: du = a(1 –…

A: Consider the given differential equation.

Q: Solve the following DE Using Method of Undetermined coefficients; applying both (a) Superposition…

A: As per our guidelines,  we are supposed to answer only 1st question at a time, kindly repost second…

Q: 16 - х For what value of x, 13. 47 is a singular matrix: - A. 1 В. 2 С. -1 D. -2 E. None of the…

A: A matrix A is said to be singular if its determinant is zero .

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

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Q: 10.Use Cramer's rule to solve the linear system. 3x+ 5y = 8 y+z = 3

A: NOTE: Refresh your page if you can't see any equations. . system Ax=b is  the matrix A is

Q: Consider matrix K of order 3 defined by 3sene 3cose K = -3cose 3sene \3sene - 3cose 3sene + 3cose 3,…

A: To find the cofactor of the matrix

Q: find A-1 using Gaussian elimination and check the resul 3 -2 [1 1) A = |1 2 4. 27 1 1 Ans: A-1 = -2…

A: Explanation of the answer is as follows

Q: 1. y" - y' - 2y = e by D- | operator method 2. y" - 3y' +2y = e4x + 6x³ – 2+ 3sin(4x)

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Q: A form of a particular solution for the DE.3 (using undetermined coefficient (method y(4) + 3y(3) +…

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Q: 1.The general solution of a 2nd order non-homogenous linear ODE of the form y" + p(x)y' + q(x)y =…

A: We have to check out

Q: 1. Use the Piecewise Linear Algorithm to approximate the solution to the boundary-value problem + y…

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Q: - Example 3.3 Verify that on the interval (-, ), X1(t) = () and X2() = (-») are %3D solution of dxi…

A: 3.3  X1(t)=2e-te-t=x1x2 is solution of dx1dt=x1-4x2dx2dt=2x1-5x2then X1(t) satisfy the system of…

Q: Solve the equation Ax = b by using the LU factorization given for A. 1 1 0 0 1 2 15 - 3 - 4 10 - 3 1…

A: Solve the equation Ax=b using LU factorization for matrix A=1230-3-4-910203-20-40-941 , b=15-3912-27…

Q: A new type of force was discovered by physicists with the following expression: α Fnew + Be* + 3x4…

A: Given  Fnew = αx+βex+3x4 We have to find the work done W.

Q: 5. Consider the following Neumann problem 0 < x, y < ™ Au = 0 Uz(0, y) = uz(7, y) = 0 0<y<T Uy (T,…

A: Given equation is,…