i. y = xv iii. x²-4 %3D х+3 y =

Q: Meth Example: Solve; y" + 4y' + 3y 0 y(0) = 3 & y'(0) = 1

A:

Q: Particular solution of y" - 5y' = x-2, when x = 0, y = 0, y = 2

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Q: Y4(t) = ¿et is a particular solution of y" – y = 2e3t. The general solution of /" – y = 2e3t is…

A: We find whether the given statements are true or false.

Q: Exercises: 1. Show that y=3e-e is a solution to y"-4y-D0

A: Explanation of the answer is as follows

Q: 1. Consider a 100L tank containing 50L of salt water with a concentration of 1kg/L. Suppose that…

A: We have to find ivp.

Q: H1: At least two of the means differ from each other.

A: ANOVA: It is a Statistical technique to check the variability in the data. Here in this example, a…

Q: etermine the type of solution. y = 3/7x - 8 3x - 7y = 1

A: Given equations are:y=37x-8                           ................(1)3x-7y=1…

Q: a) Give a particular solution for y" – 2y' + y = 3e*. b) Give a particular solution for y" – 2y' + y…

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Q: ether yp₂ (x) = x is a particular solution g DE or not. y" + 4y = 4x.

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Q: Find the particular solution (D² + 4D + 4)y=0 when x = 0, y = 1 and y = -1 What is the particular…

A:

Q: ese coconuts. Nȳ is hard to get in this case because N is hard to count.  How can the total amount…

A: extract grams (x)  original grams (y) 1 73 100 2 68 118 3 91 141 4 114 168 5 73 127 6…

Q: 2y - z 1, e solution if K=

A:

Q: Using Gauss-Jordan method solve the following equations Sx+4 y -15; 3x+7 y-12; Options O r44783,…

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Q: pproximate using differentation:  e0.99 Please show step by step solution.

A: This question can be solved using the concept of approximation using derivatives.

Q: + c2€ X. 1. y = x + C, e* + Cz e y = c, e2x + c2 e³*. 2. btain the general solution.

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Q: (2х + Зу + z %3 —1 Зх + Зу + z % 1. (2х + 4у + z %3 —2 III. Give the solution of

A: We need to solve the given system of Equations. The solution is explained below.

Q: II. Solve xdy + (3x – 2y)dx = 0 in two ways. Write your solution on the space provided. 1. First…

A: The given equation is; xdy + (3x-2y)dx =0

Q: 1 2 3 3 2 Supplies 12 || 8 3 2 Demands a 70 units 55 units 61 units d 77 units

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Q: .Particular solution of ODE (D4 + D² – 2)y = e* + 2 is

A:

Q: Using the method of Variation of Parameters, the form of the particular solution Y, for the NHLDE 1…

A: Use the procedure of method of variation of parameters to solve this problem as in next step.

Q: Solue (x+1)y" + xy -y =0 ; yco)2, 4'c0)= i ginen that either e* or e-x is a solution of (x+D y" +…

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Q: +z=1 +z=1. + kz =1 solution

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Q: Apply the method of reduction of order (not it's formula) to find the second solution if 6y "+ y'- y…

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Q: Pleaase do handwritten solution in part 2 nd 3 because I couldn't understand it thank you

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Q: 17. Solve the IVP: y" + 8y(v)? = 1, y(1) = 4, y'(1) = 1/4. Describe the procedure thoroughly and…

A:

Q: Separate the variables of the following PDE (in u(x, y): 3uyy - 5uy + 7u,ay = 0 %3D

A: To convert a pde into two ode applying separation of variables.

Q: 1) Hs] Solve the IVP: y" – 8y + 16y = 0, y(0) = -3 and y (0) = -1. %3D |

A: Use homogeneous differential equations to find solution.

Q: (iii) y" – 4y' = 6e3t – e¬ y(0) = 1, y'(0) = –1

A:

Q: 3. Area between z = -2.50 and z = 1.50 4. Area between z = -1.80 and z = -0.33 Solution Steps…

A: 3)  Calculate the area between z=-2.50 and z=1.50 P-2.50<z<1.50=Pz<1.50-Pz<-2.50…

Q: 3. Area between z = -2.50 and z = 1.50 4. Area between z = -1.80 and z = -0.33 Steps Solution…

A: 3. We will use substraction to find the area between two z-scores. Step1:  First we will find the…

Q: Particular solution of y' = x+xy²/4y, y(1) = 0

A: Given differential equation- y'=x+xy24y   , y(1)=0 We need to find particular solution of the given…

Q: Find (a) the general solution and (b) the particular solution for the given initial condition. y' =…

A:

Q: P-4 Use separation of variables to find the product solution of the following a) ди ди b) J2u 02u y…

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Q: Using the method of Variation of Parameters, the form of the particular solution y, for the NHLDE 1…

A:

Q: HW # 2 1) Find the general solution to y2)-2 y)+2 y) 0 where n=0, 1, 2, ...

A: Given recurrence relation is  yn+2-2yn+1+2yn=0                           (i) Eq. (i) is a second…

Q: %3D 9. If TV= 74 and WV = 4x+ 1, solve for x. %3D T U W

A: Solving for x

Q: y" – y = 5sin²(x); when y(0) = 2,y'(0) = -4 %D %3D

A:

Q: Q3/ Let x,y E N, If x,y e E then x+ y e E.

A:

Q: 8] Particular Solution of (D2+D-6)y = 0; y(0) = 0; y'(0) = 5 (a) y= Ce-3x (c) y=-e Cze2x (b) y=e-3*…

A: Explanation of the answer is as follows

Q: Numerical analysis , solve this IVP using Tyler method , h=1/5 solve until W4, please. 1+t {y =…

A: Consider the initial value problem y'=ft,y, a≤t≤b and ya=y0. Let h be the step size. Then,…

Q: 2. Using Nodal Analysis solve for the Value of Vb. Va I1 10Ω Vb 20 Ω I2 Vc 10v 20v 40 Ω I3

A: Solution

Q: stion 3 Determine the form of a particular solution y, for y"-4y' +4y 5x2-6x

A:

Q: Consides Hhe Syskem does Hhe System (1) kor which have a unique solutions values of a f valves (a,…

A:

Q: n2 > 2n for n 2 5 : Solution: Part 1: Part 2:

A: Solution )n2 > 2n for n ≥ 5 For n= 5 52 > 25 25 > 32  For n= 6 62 = 26 36 > 64 Which is…

Q: Which of the following is the solution of y'=ex+y under the initial condition y (0) = -1?

A: Given y'=ex+y

Q: y²+(a+1)xy-ax? x((a+1)x-(a-1)y) What is the general solution y' where a > 0. %3D

A: Given differential equation is,

Q: Find (a) the general solution and (b) the particular solution for the given initial condition. y' =+…

A: Given,

Q: Find the general solution of  (D^4+D^2)y=3x^2+4sin(x)-2cos(x) using method of undetermined…

A: The question is solved by using method of undetermined coefficients.

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.