B. Use Newton-Raphson method to solve the system x? +у — 3 %3D0 y - 2x + 1 = 0 with the starting value (xo,yo) = (1,0). Take n=2. %3D

Q: (v³x - 2x4) p + (2y4 - x³y) q = 9z

A:

Q: 3) V12-b+4= 6

A: #3 Given,   12-b+4=6

Q: Solve: (3x – 2xy+ 3y)dx = 4rydy (y +3x)(y – x)3 = Ca³ %3D O (y + 3x) (y – x) = Ca³ (y – 3x)(y + x)3…

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Q: Solve the particular solution (D2+3D+5)y = 5e-xsin2x using  D- operator method.

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Q: Consider the equation (34)x = (3y)s where x and y are unknown. The number of possible solutions is

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Q: Solve (D4 + 2D² + 1)y x cosx +3*

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Q: Obtain the solution of this set of simultaneous equations: Н.W 3x1 - x2 - 2x3 = 1 -x1 + 6x2 – 3x3 =…

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Q: Find the linear first equations 15 3 ydx+ (xy+2x-2y)dy3D0

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Q: y = (1– 2x) ;y" ¡y"

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Q: Find the general solution of x²y" + 10xy + 8y = x² Use the variation of parameters.

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Q: 11.2) SOLVE : 5x²y" + x (1+x) y ² - y = 6 by Frobenius Method

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Q: Solve (2Dy + 5)²z = 0

A: We can solve this problem by method of ordinary differential equation

Q: Determine general solution of: y(5) - 8y" = t² + 6t+4+et

A:

Q: Q: Solve (3xy+ y ) dx+(x +xy) dy = 0

A: 3xy + y2dx + x2+xydy =0 3xy + y2dx =- x2+xydy  dydx=-3xy + y2 x2+xy Put y = vxv + xdvdx =-3x.vx +…

Q: Solve for v 2+(6)/(v-7)=(4)/(v-7) If there is more than one solut

A: To solve for v, we first need to eliminate the denominator and then solve the linear equation by…

Q: Solve the difference equation In+2 + In+1 – 2.x, = 0 subject to the initial conditions ro = 1 and r…

A: To find- Solve the difference equation xn+2 + xn+1 - 2xn = 0 subject to initial conditions x0 = 1…

Q: 2 c4 e-x-2y dydx 2х

A: It is double integration problem

Q: Let 1 2 -1 A = 2 4 -2 -2 Describe all solutions of A = 0. * = x2 +x3 +x4

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Q: max y = x1 2 + x2 2 ; subject to (x1 2 /25) + (x22 /9) =1 using the method of lagrangean .

A: Given function:- fx1,x2=x12+x22 Let gx1,x2 =x1225+x229-1

Q: 5. Solve IVP у" - 4y" + 7y - бу %3D 0, у(0) %3D 1, у'(0) — 0, у" (0) — 0

A: See the attachment

Q: Solve x = x + 2y and y = 2x + y with x(0) = 1 and y(0) = 2.

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Q: of the form ₁ = x²(1+₁x + ₂x² + 3x³ + ...) Enter C1 = Find the solution of 4x²y" + 6x²y + y = 0, x>0…

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Q: Show that the general cubic equation y3 + by2 + cy + d = 0can be transformed into an equation of the…

A: To find the equation of the form

Q: -5x +3x – 28 dx (x – 1)(x² + 9)

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Q: Dª + 4D³ – 3D² − 2D + 1)y = 0

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Q: Solve 1 0-²40 = 5 x (0) = - 4, y(0) = 10

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Q: Solve y+y = 1, y (0) = 4 Oy² = 1 +7e-² Oy = 1+7e-² Oy² = 1 +7e-² Oy = 1+5e-² Oy = 1+7e²

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Q: y³ (x + 2y) = C²y

A: The solution is given as

Q: Solve the following DE using the method of undetermined coefficients: a. y"-3y'+2y= 20xe3x b.…

A: a) y''-3y'+2y=20xe-3x Auxiliary equation m2-3m+2=0 m2-2m-m+2=0 mm-2-1m-2=0 m=2,1 yn=C1ex+C2e2x and…

Q: What is the general solution of the   uyy=4x2u+yx2ex equation.

A: As per the question we are given a nonhomogeneous partial differential equation as : uyy = 4x2u +…

Q: Determine the solutions of: y^n  + 4y  = 0 y(-π) = y(π), y´(-π) = y´(π)

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Q: 4dx + (x — у + 2)?dy %3D 0

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Q: 6. Find the positive number that when multiplied by 15 is equal to its square subtracted from 34.

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Q: 3(y+7)-7y=1 y=

A: First we distribute 3.

Q: 2. Use undetermined coefficients method to solve 1 yi = 4yı + 2 - 3e", y2 = 9y1 + 6y2 + 10e'.

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Q: Use graphical methods to find two solutions to thesystem

A: Graphical method: The point at which graphof two equations intersect is the solution of both the…

Q: 4 Solve the following y + xy = xy 01+y³e³²/2 = Ce³z² /2 01-³e³/2 = Ce³²/2 01-y³ = Cy³e³²/2 01+y³ =…

A:

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.