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

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: 4. Solve the particular solution of y" + 3y' + 2y = 6e¬, y(0) = 1, y'(0) = 2, using a. Variation of…

A: we have given the differential equation y"+3y'+2y=6e-ty(0) = 1, y'(0) =2 we have to find the…

Q: 6. Find the general solution of the system: :) *+(- sint X = -2 cost

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Q: Find the general solution to y"-y"+y-Y3D0

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Q: 2. Find general solution of the DE y" + 3y" + 3/ + y = 0

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Q: 3) Find the particular solution of the DE y" = 12x² if y(0) = 1 and y'(0) = 2.

A: This is a problem related to differential equation. Please follow the procedure given below.

Q: Find the solution to the initial value problem xy' = -2y Write your final answer as an explicit…

A: We are given : xy'=-2y⇒xdydx=-2y⇒dyy=-2dxxNow, Integrating both sides we have…

Q: If y' = х-у then its solution is x+y'

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Q: What is the long term behavior of the solution with the initial condition (-2, –1)? -3

A: Since, at point x=-2 and y=-1 present in the graph having the phase portrait curve as decreasing to…

Q: 2x1-x-4x₁x₂ = 0 -x + 2x3-4x₁x₂ +10x₁ = 5

A: We need to solve the following system of equations using a numerical method.…

Q: .1) The general solution of the equation y" + y =-5e- , is: - y(x) = Ce-* + ez(Acosx + Bsinx) -e-* O…

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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: Find the general solution of y" – 3y' + 2y 1+e-x°

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Q: (b) Show that general solution of the second-order difference equation: yk+2 - Gyk+1 + 8yr = 2+ 3.k²…

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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: 5. Solve y"-y'-2y = e-x+1, y(0) = 0, y' (0) = 0 by undetermined coefficients.

A: Consider the given differential equation and initial conditions

Q: 6. Find a general solution to the third order equation y" + y" + 3y – 5y = 0.

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

A: Given that a differential equations - y" -2y' +y = ex/1+x2.   We know that integration of 1/(a2 +x2)…

Q: Find the particular solution of the difference equation y, +2 * 12y, +1 * 31y, = 0 that satisfies…

A: In this question, we solve the difference equation  yk+2+12yk+1+31yk=0 and by using the given…

Q: der the problem maxx + 2y subject to x² + y² ≤ 1 and x + y 20

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Q: 4. Find the number of non negative solutions to x + y + z = 21. With the conditions that x > 3, y >…

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Q: 1. Eliminate the arbitrary constants in the equation given by: (x- a)(y – b) = 1 |

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Q: x²y = 1+ cx

A: the given equation is x2y=1+cx

Q: 3. Find the complete solution of: y" - y' + y = 1 with y(0)=a & y'(0)=ß

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Q: 3. Find the general solution of y" – 3y' + 2y = e" using the method of variation of parameters.

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

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Q: 4. Solve the IVP y' = 2x-3y +e¯* y'= 2x- 3 y +e * with y(0) = 1 y(0)= 1

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Q: 7. Find two solutions to: y" – xy – y = 0

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Q: (7) Find the general solution to y = (x +y + 1)

A: Given differential equation is: dydx=x+y+1 Let us assume x+y=t 1+dydx=dtdxdydx=dtdx-1…

Q: Show that y = x (1 – e*-1) is a solution | to y" – y' + e"-1 = -1

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Q: 8. Find the particular solution of x²y"+ xy' = 1; y = 0 and y' = 1/2, when x = 1.

A: eular method

Q: The general solution of the DE y"-y" + y'- y=0 is

A: We need to factorize this equation to find the solution.

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

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Q: y (n + 1) y (n) = (-)" u (n)?

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Q: Determine the general solution of y" - y = 0 given y₁(x) = e-2x using reduction of order

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Q: 2- Solve this system of two equations using appropriate numerical method: y = cos' x x² +y° - x = 2

A: Using Newton Raphson method for multivariables.

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

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Q: (b) Solve y" + y = 0, y(0) = 3, y(1) = -3 by using finite-difference method with h = 0.2.

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Q: Find general solution of the DE 4y′′′ + 4y′′ + y′ = 0

A: The given equation is 4y'''+4y''+y'=0. The characteristic equation of the given differential…

Q: The general solution of the DE y" -y" + y'-y 0 is

A: we have to find out the general solution of the differencial equation y'''-y''+y'-1=0

Q: 2. Obtain the particular solution. y"-y'-6y=0; when x=0, y=2,y'=1

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Q: Is y = 1/(x + C) a solution to y' = -y^2?

A: To solve the following differential equation.

Q: 5. The particular solution of y' + y = y¯² when x = 0,y = 2 is

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Q: Find the general solution of y" + 10y + 25y = e-5x using method of undetermined coefficients.

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Q: determine the general solution of y''-y=0 given y1(x)=e-2x using reduction of orders

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Q: Find the particular solution of (d2y/dx2) = 4x3 - 2x; y' = 4/5 and y = 1 when x = 1

A: Given differential equation, d2ydx2=4x3-2x       ...(1) y'=45 and y=1 when x=1

Q: 4. Solve y"- 4y' +3y = 1 by variation of parameters. %3D 1+e-*

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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