Use Euler's method with step size 0.25 to compute the approximate y-values y1, Y2, Y3, and y4 of the solution of the initial-value problem y = 1+3x – 2y, y(0) = -5. Y1 = Y2 = Y3 = Y4 =

Q: Find the general solution of dy -2x6 dx y-4

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Q: why should y>0 ?

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Q: 5) Use the method of undetermined coefficients to find a solution to y"+y-6y=5Kte-t for a constant…

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Q: 15. Graphically solve the following: тахітize p %3D 3х + 2у subject to: 0.2x + 0.1y 0, y > 0

A: Given: Maximize p(Objective Function)=p=3x+2y Subject to constraints:…

Q: Apply Uptimal obtain y, y₂₁ and y for the pr 3

A: given y'=t+2y h=0.1 and y0=1 to find the y1,y2,y3 proceed as follows Apply Runga Kutta 2 order…

Q: . Find the general solution of the first-order equation y? – 2ry dy dr

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Q: Apply Optimal Runge-Kutta method and y for the problem 3 obtain y, 1₂ and 2 y² = t + 2y y'=t+ Y(^)=1…

A: Given: y'=t+2yy0=1 and h = 0.1 We have to obtain y1, y2, y3 using Runge-Kutta method.

Q: Use Gauss-Seidel method to solve for x, X,, Xạ until the relative error falls below 5% Repeat with…

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Q: 1.0 Solve by Gauss Seidel Method 3x-y+z=-1 -x+3y-z=7 x-y+3z=-7

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Q: 6. Find two solutions to x² - xy - y² = 1 with x,y > 0.

A: SOLVE FOR X   x=4-3y2+y2x=-4-3y2+y2y≤233 ​​

Q: 2. Find all solutions to the equation y" +y – 10y = 0. Hint: p(A) = X3 + A – 10 = (X – 2)X² + 2A +…

A: The solution of homogenous linear differential equation of constant coefficient is find by…

Q: M₁=•fc'·b·d² w. (1-0.59 w) 200-106 = 0.9.20.7-300-480² w-(1-0.59 w)

A: Sol:- 200⋅106=0.9⋅20.7⋅300⋅4802⋅w(1-0.59w) It an be re-written as :-Let…

Q: Find the iterative scheme for the root of equation x +3x – 4 = 0 by iteration method near to 1.2. a.…

A: Let the right hand terms of each option is equal to f(x) Now, find f(1.2)

Q: M₂=•fc'•b•d² w. (1-0.59 w) 200-10% =0.9.20.7-300-480² w (1-0.59 w)

A: Sol:- Letf(w)=0.9⋅20.7⋅300⋅4802⋅w(1-0.59w)-200⋅106Using Fixed Point Iteration methodHere…

Q: 5) To find B from Mathematical equation Y = V5X + 3X +1 %3D N=Y-4Z+C? B =N X+ Y

A: Given:  Y=5X+3X+1N=Y-4Z+C2B=NX+Y To determine: The value of B from Mathematical equation.

Q: (c) Solve the following IVP by separating variable. 2(y - a)da + (3a + 4r + b)dy = 0 Using initial…

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Q: Find the general solution of y" = x-1 A. y = xln x – C1x + C2 B.y = xln x – C1x - C2 C.y = xln x +…

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Q: Use the Simplex method to solve the below LP problem, starting with x = [₂] = []. Please write down…

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Q: Write the general solution to y" + 5y' - 6y = 0.

A: given equation is y''+5y'-6y=0 rewrite the equation in the form D2+5D-6=0 where  D=ddy solve for D…

Q: Solve y(n+2)+2y(n+1)+y(n) = n where y(1)=y(0)=0

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Q: 4. 8х, + х, — Хз — 8 2x1 + x2 + 9x3 = 12 X1 – 7x2 + 2x3 = -4 Solve equation system by using SOR…

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Q: Apply Optimal Runge-Kutta method and obeain y,, I₂ and y for the problem y = + + 2y y(₁7=1 , h = 0.1

A: Let us solve the given Numerical Analysis problem using R-K 2 Method in the next steps.

Q: If the solution is Solve the initial value problem y = co+c₁x + ₂x² + c₂x²³ + C₁Xx²+ + C5x³ + 6x6…

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Q: (a) If b² – 4ac = 0 and y1 = em# solves ay" + by/ + cy = 0, use reduction of order to get a linearly…

A: Q2 a) Let y=uy1y=uemxy'=u'emx+umemxy''=u''emx+2u'memx+um2emxPutting the value in equation, we get…

Q: 6. Convert the equation x² – 5 = 0 to the fixed-point problem x = x + c(x? – 5) = g(x) with c a…

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Q: what is the solution of the first order difference equation y(k+1)=y(k)+5

A: Given: yk+1=yk+5

Q: Find the root of the following equation through Incremental search method

A: Given function is fx=x3−x−1. We have to find the root of the equation fx=x3−x−1 by using Incremental…

Q: 5. The function y₁=+1 is a solution of (1-2-2³)+2(1+)/-2yy=0. Find the general solution.

A: PLEASE NOTE: There is a slight  typing mistake in this question ,the differential equation should be…

Q: 3. 2хydx - (3xу + 2y?)dy %3D0 o (x - 2y)*(2x +y) = c O (x - y)*(x + y) = c (х + 2y)(2x - у)*- с о…

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Q: Give the general solution of (3D5-13D4 +34D³-46D² +27D-5)y=0

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Q: If C = 3x + 6 x [³y + 4z 2+²]·D= [32¹] and C = ,D -y z+

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Q: 3. Find all solutions to the equation (D² – 3D + 2)y(x) = 2e3ª.

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Q: (3) The approximate enrollment, in millions between the years 2009 and 2018 is provided by a linear…

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