o 0 5 5 05 0 X + \5 0 0/ X' = | - 10 40/

Q: 24- ex +12x²-6,yc0)=2, yo)=3

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Q: Solve the Initial-Value Problem y" – 3y' – 4y = 2e-', y(0) = 0, y'(0) = 0 using any method that we…

A: Linear Ordinary Differential Equation with Constant Coefficient: The general form of linear ordinary…

Q: 8x2 – 5 dx (2 — 1)(4г2 + 1) 6х —

A: To sove the following integration by using partial fractions.∫6x-8x2-52x-14x2+1 dx

Q: he general solution of the linear system X' = AX is given. 4 cos(4t) sin(4t) ) -4 sin(4t) +C, A =…

A: Given that , The general solution to the linear system X'=AX is given , A=-1-161-1 And ,…

Q: Apply the method of undetermined coefficients to find a particular solution of each of the following…

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Q: 1. Solve Cauchy-Euler equation. r²y" – ry' + y = 2x

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Q: In 6 decimal places and in 8th iteration, use the Gauss–Seidel iterative process to find the…

A: 1.2x1+4.4x2-1.9x3=-4.25.1x1-1.3x2+2.4x3=2.7-2.6x1+1.7x2-6.3x3=9.6To Find: use the Gauss–Seidel…

Q: x' = (C )x ´sec X + 0, 1

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Q: Convert the differential euatim into ei System and Solve the system : 02-20+3)y =0

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Q: Use the modified Newton's method for three iteration to solve the non- linear system start with…

A: We will use Newton's Raphson Method for solving a 2 x 2 system of non-linear equations.   I am…

Q: Solve the initial value problem -4sin(2t – 4), s'(0) = 100, s(0) = 0. %3D %3D dr2

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Q: Let 47x + 20 y = 2 is a linear Diophantine equation 1) Show that 47 x + 20 y = 2 has integral…

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Q: Find the particular solution of the initial value problem, 4y" – 4y' – 3y = 0,y(0) = 1 and y'(0) = 5…

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Q: Solve the given system of differential equations by systematic elimination. (202 - D - 1)x - (2D +…

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Q: Find the solution to the initial value problem y'=x²-, y(2) = 3.

A: Solution of the initial value problem

Q: find the solution satisfying the initial conditions: y''-y=x^2 , y(0)=0 , y'(0)=-1

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Q: -3 y{(x)+4y,(x)– y, (x)+ 2y,(x) + 6x – 3–4sin(x) = 0 2y{(x)– 3 y,(x)– y2(x)– 4x+2+3 sin(x) = 0

A: First, determine the normal form of the system of equations and then deduce the homogenous form from…

Q: Solve the initial value problem Ut + 2ux -3u, u(x,0) = 1/(1+x²), == x € R, t > 0 TER

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Q: Determine the number of integral solutions to the system x1 + x2 + x3 + x4 + x5 = = 25, X1 + x2 = 10…

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Q: Use the Method of Undetermined Coefficients to solve the Initial Value Problem y" + 2y'+ y = 3t ,…

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system the auxiliary…

Q: (D-1)x+(2D+7)y = 3t –15 G9 3) (2D +1)x+(D+5)y= 9t –7

A: I am attaching image so that you understand each and every step.

Q: 4. For which values A ER has the system 8z - 3z - 6y = dx 21 + y+ 4z = y 4r + 3y + z = Az infinitely…

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Q: -2 X + -1 tan t X' =

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Q: Solve the system of linear equations for x and y.(cos θ)x + (sin θ)y = 1 (−sin θ)x + (cos θ)y = 1

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Q: Consider the following nonlinear equations. fi = sin(6x,)+cos(4x,)–1.5x, =0 f2 = e* +6x, +4x, = 0 f3…

A: To solve a system of three nonlinear equations with three unknowns, use the modified Newton Raphson…

Q: What is the solution to the initial – value problem : 4x?y" + 4xy' – y = 0 with y(4) = 2 and y'(4) =…

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Q: What is the solution to the initial – value problem : 4x²y" + 4xy' – y = 0 with y(4) = 2 and y'(4) =…

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Q: Solve the foI System Hons. x+y-==3 3x= y+2=1 x+2y-z=5 using: (i) Gaussian elimination,

A: We have to solve given problem:

Q: メ= 6X-24 =-2メ+3y

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Q: Solve using Two Phase Method Max Z = 4x1 + 6x2 Subject to 2x1 + x2 > 4 x1 + 3x2 ≥ 4 x1 + x2 ≤ 5 and…

A: As per the question we are given an linear optimization problem and we have to use the Twl Phase…

Q: Find the solution of the given initial value problem in explicit form. 1 y' = (1 - 13x)y², y(0) = -…

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Q: Solve for the particular solution of the non-homogeneous DE. y'' - y' = 2sin 2x

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Q: 6. Find the general solution of the system: sint -2 cost

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Q: Solve the initial value problem Ә дудх (OH) - ди 4- ду = 0, u(0,y) =2sin y, u(x,0) = x. -

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Q: Consider the nonlinear system of equations 22 – 3y = 4, 4x – y = 4. (2,-4), one step of Newton's…

A: f1=x2-3y-4=0f2=-y2+4x-4=0 J1,1=∂f1∂x=2x    J1,2=∂f1∂y=-3J2,1=∂f2∂x=4      J2,2=∂f2∂y=-2y…

Q: Solve the given initial-value problem. -2 2 X'= × - (- ~~ ) x + (²) X 3 4 2 X(t) 2t 6e-6e²t - 6 X =…

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Q: X' : 0 1 X + sec t tan t) -

A: Given

Q: The system of first order differential equations: У (0) — —3 Y2(0) = 6 19 yı + 5 y2, -50 yı – 11 Y2,…

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Q: Solve y' = 6x, x' = x + y with initial conditions x(0) = 1, y(0) = -2.

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Q: Transform the given system into a single equation of second-order x = 111x1 – 110x2 T2 = 110x1 –…

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Q: Find the solution of (1 + e²)yy = eª that passes through (0, 1).

A: (1+ex)yy'=ex(1+ex)ydydx=exseparation of variablesydy=ex1+exdxIntegrating both…

Q: Find the solution of the given initial value problem in explicit form. 1 3/ = (1 – 5x)y² , y(0) - -…

A: Firstly separate the variable and integrate . ∫xn dx =xn+1n+1+C

Q: Use the method of undetermined coefficients to solve the initial value problem x''+4x=3cos2t  ;…

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Q: Use variation of parameters to solve the given nonhomogeneous system. 2 X' = 4 X + sin(2t) ,2t 2…

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Q: Let 38 x + 16 y = 2 is a linear Diophantine equation 1) Show that 38 x + 16 y = 2 has integral…

A: Using the result: if gcd( greatest common divisor) of two integers 'a' and 'b' is 'c' then there…

Q: 2. Solve the system of first-order linear differential equations: -6x, - x, +2x, X-3x, - x,

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Q: Solve the homogeneous system yi = 2y1 – 5y2 2 = Y1 – 2y2 with initial values y1(0) = 1 and y2(0) =…

A: We will first find the eigenvalues and eigenvectors of the coefficient matrix then form the general…

Q: - u"(x) + 2u'(x) – u(x) = - +-x' + 5x – 4 - "(포) + 2»'(x) - 3v(x) =D -를 + 1 + 272 +4r-1

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Q: Solve the system of linear equations for x and y: (cos 0)x + (sin 0)y = 1 (-sin 0)x + (cos 0)y = 1

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Q: Use two iterations of N-R method to solve the nonlinear equation with estimated solution xo = 2. V1+…

A: Given