EX1: SOLVE L.P USE GRGHICAL METHOD al Max. Z=10 X, +15X2 S.T 6x1+4x2 <30000 2x1+4x2 2 20000

Q: a*u du 12. Solve by Crank -Nicholson simplified formula əx² at . u(0,t)=0,u(1 ,t)=0, u(x,0)= 200(x –…

A: Given, ∂2u∂x2-∂u∂t=0u(0,t)=0 u(1,t)=0u(x,0)=200(x-x2)h=0.25 Standard form of the parabolic equation…

Q: Solve using Higher-Order LDE using the indicated method Operator 1/f(D)

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Q: et - Low e² + 3dt et +3 tana 2. G(x) =

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Q: Solve the equation using Jacobi's Method (Error≈0.001): 2x1 - x2 + x3 = -1 x1 + 2x2 - x3 = 6 x1 -…

A: Given system of equation 2x1 - x2 + x3 = -1 x1 + 2x2 - x3 = 6 x1 - x2 + 2x3 = -1

Q: a) Solve y' = 3x² + y, y(0) = 4 by choosing step length 0.1 for y(0.2) by Euler's improved method

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Q: apply 4th order Runge-Kutta to solve the following value problem y = x^2 + y for h = 0.1, y(1)=1 and…

A: The given function is fx,y=x2+y And x0=1,y0=0.1 since the step size h is given as h=0.1. Now to find…

Q: Solve for x :C+Vz + m = A

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Q: Q4: Solve the initial value problem: ty = 2y +t %3D

A: The general solution is, y = y(t) = t³ + t²•C, where, C is the constant of integration.   The…

Q: b. The maximum deflection of a beam occurs at x satisfying 2x? – 3Lx + L? = 0 Where L is the length…

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Q: Solve IVP using the Euler's substitution: 4 ÿ' = [_† !]ÿ, y' y(0) = [²]. Solve using the method of…

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Q: Q5) Solvex+2xy = 3 by using Euler's method to find he approximate solution up to X-2.9 when h = 0.5…

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Q: Q.4 (A) By using NRM, find the real root of x3 – 2x – 5 = 0 accurate to six decimal places in the…

A: (A) Given: x3-2x-5=0 Differentiate the function with respect to x. ddxf(x)=ddxx3-2x-5f'(x)=3x2-2…

Q: (6x + 1)(,F – 2) Suppose that y'(x) = and that y(4) - 3. Solve for y(x).

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Q: Q 2- use Newton-Raphson method to obtain a root of equation x'- 2x + 3x -5 = 0 %3D

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Q: constat Solve by ussag alktytb(x)+ abt +c me thed of abbritrseky

A: Partially Differentiating with respect to x, ∂u∂x=a+b ---(1) Partially Differentiating with respect…

Q: Q4: Solve by using Separation of variables method? ди =k - for 0 0 at ´əx² u(0,t) = u(L,t) = 0 for…

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Q: Q6. Use the method of Variation of parameters to solve (i) y" +y : tan x.

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Q: 3x²ydx – (x³ + 2y*)dy= 0

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Q: Solve the equation using Jacobi's method until 5 iterations. (Non-anonymous question) 5x₁ - x₂ + 2x3…

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Q: -5t x" +6x' +5x = 30 e ", x(0) = 8, x'(0) = 28 Solve the IVP and find x(0.25) to at least four…

A: Consider the given IVP, x''+6x'+5x=30e-5t, x0=8, x'0=28. The homogeneous differential equation is…

Q: Q2/ solve :- +2y = Sin 3 X %3D u sing (D-operator methoD)

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Q: II. Solve xdy + (3x – 2y)dx = 0 in two ways. Write your solution on the space provided. 1. First…

A: The given equation is; xdy + (3x-2y)dx =0

Q: II. Solve xdy + (3x – 2y)dx = 0 in two ways. Write your solution on the space provided. 1. First…

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Q: 3) Using the secant method if po = 1,p = 2, p3 = 1.11 to estimate the solution of the equation x5 –…

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Q: 2ty t²+1 – 2t – (2 – In(t² + 1))y'

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Q: Solve the equation using Gauss Seidel's method until 5 iterations. 5x₁ - x₂ + 2x3 = 12 3x₁ + 8x₂ -…

A: Given: The system of linear equations, 5x1-x2+2x3=123x1+8x2-2x3=25x1+x2+4x3=6 To find: Solve the…

Q: Simplex Method to solve the following LP: max Z = +2x2 +4r3 +5r3 < 10 8. s.t. 311 +4x2 2x1 +2r3 < 7…

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Q: Solve for y, where y is a real number. V6y-2 /9y-8 If there is more than one solution, separate th…

A: We know that  If  √(x+a) = √(b+c) Then squaring both sides x+a = b+c Then we find x x = b+c-a

Q: 50s d. F(s) = (s + 1)²(s² + 4s + 13)

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Q: Solve for z. 4r 7 1 5/Ax Submit Question Iype her %3D

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Q: et y" +5y' +y= xe* the particular solution of the equation can be obtained: elect one: a. By both…

A: The given differential equation is -  y'' + 5y' + y = x-3ex

Q: Q1: Determine the root of the given equation f(x) = 10 – x2 for x e [2,4] using bisection method and…

A: The root of an equation: A number α is said to be a solution or root of an equation f(x)=0        if…

Q: Q3- Solve only one of the following: A- Find the approximate solution for the function y' x + y…

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Q: 1. Solve for x. Find all real solutions. Vx + 10 – 4 = x %3D

A: Given equation:

Q: 'ain(t -플)') co여(t- dt

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Q: Simplex metuad. Solve the following L PP using the Simpled method ma Xim:ze Z=12 X,t 16X 2 loxi +20…

A: Simplest method to solve a LPP is Graphical method. Given LPP :  Maximize Z=12x1+16x2,Subject to…

Q: Of the solutions to the three di↵erential equations above which one is increasing at (1, 1)? Explain…

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Q: Solve for at least one possible root for the function x3 + 2x + 2 = 10e-2x² using the methods…

A: Note:- Fixed point iteration method is also called Method of Successive Substitution (MOSS). Fixed…

Q: Solve for x -1 logs : %3D 3 243 O V5 No Solution

A: Use logarithmic identity:-  (i)  logaa = 1 (ii) bloga = logab

Q: The equation x - Rx¹ = 0 has x = R¹/2 for its solution. Establish Newton's iterative scheme, in…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) and the initial approximation of the…

Q: Q2: Solve the eguation x-3=0, by using Newton-Raphson method where x, 1.8, and for k=4.

A: (As per our rules, we can only solve one question, so solving the first question) Solution 2: Let…

Q: x²- y2)dydx a.

A: Solution :-

Q: lve 2cos^2(t)−3cos(t)+1=0 for all solutions 0≤t<

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Q: xydx - (x^2+3y^2)dy =0 Solve for general solution .(show complete solution)

A: Given, xy dx - (x2+3y2) dy =0

Q: (x² – 1)y' + 2y = (x + 1)² %3D

A: Given: x2-1y'+2y=x+12

Q: solve the following Equations using 4th order Runge- Kutta Method • Equatioras a. y = 2x3 b. y =…

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

Q: H.w Solve y'+y'-zy= -2 f yoj=Zfylcojal

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Q: Q6. Use the method of Variation of parameters to solve (i) y" + y = tan x.

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

Q: -1+ 2x 11 If PR = 3x + 3, solve for x. %3D Our answAwer R.

A: PR=3x+3   PQ=-1+2xQR=11

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.