5. A general solution to the system x' = Ax is given by x = C1et G + C2et 3 (a) On the phase plane, sketch the half-line solutions generated by each exponential term of the solution. Then sketch a solution curve in each region determined by the half-line solutions. Use arrow to indicate the direction of motion on all solutions.

Q: find the general solution with egienvalues and the phase potrait

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Q: Each of the following equations represents a cubic function

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Q: y' = [ 2 2 -1 2 y, y(0) = 8 [-]

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Q: x(1-х)у" - Зу' + 2у %3D0

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Q: B. Solve y' + = y²x*.

A: the given differential equation is: y'+4yx=y2x3 the differential equation can be written as:…

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A: Given differential equation is                                           dydx+yP(x)=ynQ(x);  x=y1-n…

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A: The Chini equation, given by  y∗y′+f(x)=g(x)∗y , appears in various physical and engineering…

Q: 1. Describe each of the following equations, giving its order and telling whether it is ordinary or…

A: 1)Given DE is y"+3(y')2+4y=0. We find it's order and decide whether it is ordinary or partial and…

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A: We have to find basis of subspace S of M2x2 matrix.

Q: Solve for the general solution of (D: - 5D + 6)y = 4e* using method of undetermined coefficients.

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Q: The general solution of y' = X У can be written in the form = C

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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: 7 0-3 -9 -2 3 18 0-8 y, y(0) = 2 3

A: Given y'=70-3-9-23180-8y Also given y0=23-1   To reduce to row echelon form and solve for constant…

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A: The objective is to find Predict y when x equals 10, 20, and 30.

Q: Find a particular solution to y"+3y'+2 y = x² - 3.

A: Given that,         y"+3y'+2y=x2-3  ⇒D2y+3Dy+2y=x2-3 Where, D=dydx ⇒D2+3D+2y=x2-3  Let, FD=D2+3D+2…

Q: ( -) Solve the system 1 -2 5 da i, with the initial condition (0) = dt 2 5 x1 = -2e^(3t)+7e^(3t) 22…

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Q: Solve the following equations: 1. (D-D2-2D)y = 0 2. 4Dy-13Dy + 6y = 0 3. D'y - D'y – Dy + y = 0 %3D

A: On solving ist three questions we will get

Q: For the system, Y'=6 –1]y Y 5 4 Write the natural period of the oscillations, round the answer to…

A: This is a question of mass-spring system, application of differential equation.

Q: Solve the first-order linear equation ey' + 3ey = 2xe¯ = 2xe-5x, y(1)= 232.

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Q: Exercise 4. Solve the equation xx' + y = y' + 2x² = 1. = 2t,

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Q: Example 4: Solve iii) y" + 2y' – 3y = 7x – 3x?. -

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Q: Exact equations: Solve * (2x + 3y) dx + (3x + y - 1) dy = 0 O x* + 6xy + y² – 2y = c O y2 + y* = c

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Q: Solve y" - 2y" - y' + 2y = 0. Include a plot of the solution curves.

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Q: Question 10 Solve xy³dx + e^x² dy = 0 Show your solutions on a separate sheet of paper. A (B…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.