Determine the coefficients of the equation y-ax+bx²+cx+d so that it will have critical points at (1,0) and (-2,27). Solve for b.

Q: At which iteration shows that the root of a nonlinear equation is Xr = 1.2021 when a = 2 and b = -1…

A: We need to find at which iteration shows that the root of a nonlinear equation is Xr = 1.2021 when a…

Q: Determine the coefficients of the equation y-ax'+bx²+cx+d so that it will have critical points at…

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Q: 11. Find the particular solution of 2ydx = 3xdy, when x -2, y = 1

A: Given : Differential equation :  2ydx = 3xdy And x = -2, y = 1   To find : Particular solution of…

Q: Find a particular solution, y,(x), of y(ª – y" = 12e3 – 5x + 2. -

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Q: Find the formulation of a particular solution of y" + 3y' +2y = 3+t2 – te-2t cost without…

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Q: particular

A: We find particular solution.

Q: find general solution. dr/dt= -2tr,         r(0)=ro

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Q: Obtain general solution of y' = y + y^3.

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Q: Use variation of parameters to find a particular solution of y"- 2y' +y = 14xie" Yp(x)

A: y''-2y'+y=14x32ex find the roots for the homogeneous system  r2-2r+1=0 r-12=0 r-1=0 r=1 for one real…

Q: Find the wrong Kian W(y1,y2)(t) of y1 and y2  Where y1=t and y2= e^t are solutions of…

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Q: Use Fixed-Point method to find solution accurate to within 10 for the following nonlinear equation:…

A: Given equation is, The given initial solution is,  To find the solution of the given equation…

Q: Q1) find the critical point of the following equation - g(x, y) = x² + y² + 2xy − 6x - 3y + 4

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Q: Use variation of parameters to find a particular solution of y"- 2y' + y = 14xie Yp(x) =

A: Auxiliary equation for the given equation:

Q: use the two phase method to solve the lp MAX -  4x1  +  x2 - 2x3 st --    2x1 + 2x2 + x3 = 4 x 1+…

A: We can solve this using two phase method

Q: Determine the positive roots of the simultaneous nonlinear equations using the Newton-Raphson method…

A: From given non linear equation we have  f1=-x2+y-1=0f2=y-2cos(x)-1=0 iteration formula is:…

Q: - y" - 4y - 12y = e

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Q: 4. Find for the particular solution of y' = x3 – 2xy when x = 1, y = 2 %3D

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Q: Q1: Solve the second order linear homogenous equation: y" – 2ky' + 4y = 0 k > 2 -

A: According to our guideline we can only answer first question and rest can be reposted.

Q: Find a general solution of y"- iy'+6y= 0.

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Q: 2. Solve y' = 2x(x² – y), with initial condition y(0) = 1. -

A: This is first order linear differential equation

Q: y' +(E- 1)y ==

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Q: Find the general solution and the particular equation of the Equation Linear 2ª order given the…

A: We have to be find solution

Q: Find that solution of y’= 2(2x-y) which passes through the point (0,1). Use Linear Equation of Order…

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Q: Determine the roots of the simultaneous nonlinear equations (x-4)^2 + (y-4)^2 = 5 x^2 + y^2 = 16…

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Q: Use undetermined coefficients to find the particular solution to y'' – y' – by = 2e-2 Y(t) =

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Q: Find the general solution of ди ди (y – z) + (x – z) ди + (2y – 2x) ду - az

A: The differential equation is given as (y-z)∂u∂x + (x-z)∂u∂y  + (2y-2x)∂u∂z = 0 We will solve it by…

Q: Obtain the particular solution. y' = x exp(y-x²) ; when x = 0 , y = 0.

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Q: Find the General and Particular solution of = 3y ; y = 3, when x = 0

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Q: Find a particular solution to æ' = -x – y + e', y' = 2x + y – ešt using undetermined coefficients.

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Q: Suppose we are given y1(x) and y2(x) (with y1 # y2), which are two different solutions of a…

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Q: b) Give a particular solution for y" – 2y' + y = et - 1+x2

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Q: Use Gauss Jorden method to solve and also verify the solution. 5x-2y+z=2 3x+2y+7z=3 x+y+3z=2

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Q: ) Find the general solution of the DE y = (2+y')x+ (y')².

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Q: Solve for x,y,z if x+ 2y + 2z=0 2x + y + 2z = 0 2x + 2y + z = 0

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Q: determine by inspection at least two solutions of the given first-order IV . 15. y-  3y2/3, y(0) …

A: Consider the given y'=3y23 and y0=0

Q: 3. Find the general solution using the method of Variation of Parameters. y" + y = = sect

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Q: Find the particular solution of xy' – 2y = -x ; when x y = 5 1,

A: Recall: Consider the first differential equation                           dydx +P(x) y =Q(x)…

Q: What is the particular solution of 2xyy' = 1+y2 , when x =2, y = 3

A: The given differential equation is solved below in detail.

Q: Obtain the general solution by the parameter variation method ÿ = 2ÿ – ý + te-2t + 3

A: The solution is given as

Q: Find the particular solution of: y' – 4y = x²e* that satisfies y(0) = 2.

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Q: 1. y' = x3 – 2xy, when x = 1 and y = 1

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Q: Use undetermined coefficients to find the particular solution to y'' + y' – 3y = 4t + 5 Yp(t) = %3D

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Q: Use variation of parameters to find the general solution of y′′−2y′+ 2y=(e^x)csc(x)

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Q: Find the particular solution to y''-y'+y = 2sin(3x)

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Q: Use variation of parameters to find a particular solution of y'' - Y = 4e-x 1-e-2x Yp (x) =

A: Solution of the differential equation, By using the method of Variation of perameters

Q: X-2y+3z=11 4x+2y-3z=4 3x+3y-z=4 Solve by  Gaussian elimination

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Q: Suppose we are given y1(x) and y2(x) (with y1 ≠ y2), which are two different solutions of a…

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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