The homogenous D. E. with constant coefficient of at least order which has the solution y = 2x + 3e + ecosx is y(6) - 5y(5) + 7y(4) + 5y" = 0 %3D y(6) + 3y(5) + 4y(4) + 2y" = 0 y(6) – 4y(5) + 9y(4) -

Q: 3, Find the poner sertes solution in poners of (x-1) of *最+y=o; 0 2 +2y=0j つ4 4(メー)-4(メー)れ +…

A: Given that xy''+y'+2y=0 Take y=c0+c1(x-1)+c2(x-1)2+c3(x-1)3+c4(x-1)4+c5(x-1)5+.. Take the derivative…

Q: 1) Use reduction of order method with y₁ (x) = e-2x to find a second solution y2 for the DE: y" - 4y…

A: Solution :-

Q: Exercise : 4 3 a) Evaluate , S /1-х2 |1-x²-y² .-3(x²+y²+z²)² dz dydx

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Q: To find the general solution of a second order homogeneous linear equation, we only need to find two…

A: To find the general solution of second order homogeneous linear equation we only need to find two…

Q: 4+ Out X=U -3n,t Ox-2n3=6 + Yx2-2n3

A: x1+0x2+x3=4............i-3x1+0x2-2x3=6........iix1+4x2-2x3=-3............iii Now, converting given…

Q: O vo) - 5y + 9y(4) + السؤال .8 The homogenous D. E. with constant coefficient of at least order…

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Q: To find a particular solution of the form Yp = u1y1 + u2y2 of a nonhomogeneous DE using the…

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Q: The solution of the nonhomogeneous DE y" – 2y' +1 = 3e3x is y = cqe* + c2xe* + 3x y = cqe2x + c2 +…

A: We need to find the solution to the nonhomogeneous DE y''-2y'+1=3e2x⇒y''-2y'=3e2x-1. The…

Q: find the critical points for dA=2A=0.01 AL and dL/dt=-0.5L+0.0001AL

A: Critical points are the points in a graph, at which the direction of graph changes.

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

Q: 5. Apply the Euler-Cauchy method with step length h to the problem y'=-y, y(0)=1 h = 0.1

A: y' = -y , y(0)=1 and h=0.1 f(x,y) = y' = -y  x0 = 0   and  y0 = 1

Q: After three iterations, the Jacobi method applied with initial approximation (0) .(0) .(0) = x3 =…

A: To apply the Jacobi method applied with initial approximation.

Q: 11. Find the general solution of the 2nd order non-homogeneous DE y" - 2y'- 3y = 2xe* a. Methods of…

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A: xp is a particular solution to the nonhomogeneous system ax=b, therefore, Let x be any solution of…

Q: The homogenous D. E. with constant coefficient of at least order which has the solution y = 2x + 3e…

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Q: 2. Express every solution to the following equation as the sum of a specific solution plus a…

A: Using elimination process Taking t as scalar

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Q: Use the Newton Raphson Method with XO=[-1 -2 1]" to approximate the solution to the given nonlinear…

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Q: y" - 3y'- 4y = 2xe*

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Q: 3t yy"2y

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Q: 2. Find a particular solution of the nonhomogeneous equation a. y" - 2y' + 5y = 6e3x

A: As per our guideline we can solve maximum one question ,you can repost other in next turn

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Q: -. Prove that the system of equations Sy(1 – x)e* |(1 – x)e" = e-y -x has a unique solution.

A: Consider the given information: The system of equations is given by, y(1-x)ex=e-y(1-x)ey=-e-x To…

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

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Q: Suppose that the solution to a system of equations computed using Gaussian Elimination with Partial…

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Q: 10. Find the unique solution of the second-order ivp: y" + 16y = 0, y(0) = 2,y'(0) = -2

A: answer is in next step

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Q: a, b eR olmak üzere, x1+ 0x2 + 0x3 = 2 %3D xi+ x2 + 0x3 = b-2 Ox1 + 2x2 + (2a – 2)x3 = b %3D %3D -xi…

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Q: 11. Find the general solution of the 2nd order non-homogeneous DE: y" - 2y'- 3y = 4xe a. Methods of…

A: Given that: y''-2y'-3y=4xex

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Q: 3. Find the general solution to the second order nonhomogeneous linear equa- tion y" +y/ - 2y = 6et.

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Q: 7.Obtain the particular solution of (1 – xy)-2dx + [y? + x²(1 – xy)-²]dy = 0 when x = 2, y = 1

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Q: Ej : 10x1 – x2 + 2x3 = 6, E2 : -x1 + 11x2 - x3 + 3x4 = 25, E3 : 2x1 – X2 + 10x3 – x4 = -11. E4 : 3x2…

A: Gauss Jacobi iterative method: It is an iterative scheme, which is used to solve linear system of…

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: 11. Find the general solution of the 2nd order non-homogeneous DE: y" - 2y'- 8y = 2xe* a. Methods of…

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Q: b) Solve the boundary-value problem у" + ху — 2у — 5х 3D х? With the following boundary conditions…

A: (b) Given that y''+xy-2y-5x=x2 Given boundary conditions are, 2y(0)+y'(0)=1 and 2y(2)+2y'(2)=2 at…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.