Suppose t'y1 + 5y2 + sec(t), sin(t)y1 + ty2 – 4. This system of linear differential equations can be put in the form y' = P(t)y + g(t). Determine P(t) and g(t). P(t) = g(t)

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A: Given solution to a linear non-homogenous differential equation is    yt=c1et+c2e2t-3tet+cost-e-t2…

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Q: Find a differential equation for y=c1e^9t +c2e^-4t. Oy"+5y'+36y=0 Oy"-5y'-16y=0 Oy"-5y'-36y=0…

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Q: The differential equation obtained by eliminating the arbitrary constants A and B from the relation…

A: Please see the answer in step 2

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A: Find the linear, nonhomogeneous differential equation with constant coefficients whose solution is…

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Q: a. if y = asin3x + bcos3x satisfies the differential equation d?y + 4 + 3y = 10cos3x, find a, b. dx2…

A: Now , first  we will find d^2y/ dx^2 and dy/dx Then,  we will find the value of a and b.

Q: Verify that the function y = C1ex + C2e2x is a solution of the differential equation y" - 3y' + 2y =…

A: The solution of a differential equation must satisfy the differential equation. It is known that:…

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Q: What is the particular solution to the differential equation x(x³ – xy² + 2y³)dy – y(x³ + 2y³)dx = 0…

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Q: 4. Solve the given system of differential equations using the derivative operator d²x + y = 2t dt2…

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Q: Let y, = cos() be a solution to t y" -y' +q(t) y=0. Find a second linearly independent solution to…

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Q: Find a suitable form for particular solution of the differential equation y" - 4y' + 13y te"…

A: 1st is correct answer see the solution on step 2

Q: Consider the ordinary differential equation y" + 4y -4y2 = -3t. Let y = y(t) and y2 =y'(t). Write…

A: Given : y'' + 4y' -4y2 = -3t

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Q: Let us consider a continuous-time system represented by the following differential equation : 5+ 3a…

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Q: Example 9: Obtain the differential equation of the co-axial circles of the svstem x² +y² + 2ax+c² =…

A: Answer:

Q: Show thatƒ (x, y, z) = x² + y² – 2z2 satisfies the Laplace's partial differential equation.

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Q: Show that the functions x, x2, form an FSS for the differential equation x³y" +x2y" - 2xy' +2y = 0.…

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Q: Consider the ordinary differential equation y" + 5y' + 4y2 = 2t. Let y1 = y(t) and y2 = y'(t). Write…

A: I am going to solve the given problem by using some simple calculus to get the required result.

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Q: Solve the Euler Cauchy differential equation d²y x2. dx2 dy +y32(Inx) dx -

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Q: Suppose toyi +4y2 + sec(t), sin(t)yı + ty2 - 2. This system of linear differential equations can be…

A: Here we will evaluate each value.

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A: We have to verify that, y = c_1 sin 3x + c_2 cos 3x + 4e^x ;  is a solution to the differential…

Q: Determine the Yp of the differential equations shown below. į. y" + 4y = (x² – 3)sin2x ii. y" – 2y'…

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Q: Find the linear, nonhomogeneous differential equation with constant coefficients whose solution is y…

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Q: Which of the following systems is equivalent to the differential equation y" + 9y" = cos(x) – y? 9uz…

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Q: Verify that y1(x) =cos2x and y2(x) =3(1−2sin2 x) are solutions to the differential equation y′′+4y =…

A: Given : the differential equation is, y''+4y=0  and two function defined as, y1x=cos2x  and…

Q: find the differential equation of y'' + 5y' + 6y = 0 when y (0) = -1, y' (1) = 3

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Q: Find the solution of the differential equation using inverse differential operation y'' + 6y' + 13y…

A: We have to find the solution of the differential equation y''+6y'+13y=7e-x+26 by using inverse…

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Q: Verify that y1 = x and y2 = xe" are solutions of the differential equation x²yll – x(x + 2)y! + (x +…

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Q: Use order reduction to find the solution of the differential equation. 4x²y"+y= 0; y, = x² In x 1/2

A: Let y1(x) be non-trivial solution of differential equation y''+p(x)y'+q(x)y=0 and let…

Q: . Verify that the functions y1(x) = 1, y2(x) solutions of the differential equation xy" – y" = 0 on…

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A: We are going to solve

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A:

Q: What is the auxiliary equation associated with the second order linear differential equationd^2x…

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Q: Let y' – 35y = 7x*e5x. Is this differential equation pure-time, autonomous, or nonautonomous?

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Q: Find the particular solution of the following second order differential equation d² y dy dx² --4-…

A: The given differential equation is :d2ydx2-4dydx-21y=-105x-209given that y0=11 ; y'0=39.

Q: Suppose that Y₁(t), Y₂(t), and Y₂(t) are solutions of the differential equation y"+5y"+(2-t)y=0.…

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Q: (b). By reversing the role of x and yY or otherwise, find the general solution to the differential…

A: Given:        2x-4y2dydx+y=0            2x-4y2dy+ydx=0    Equation in total differentials:…

Q: Form the differential equation for the function 2x-y = asin(2x - b) O a. y" + 4y = 8x O b. y" +y = x…

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Q: Obtain the differential equation belovw. y = Ce* + Cze-3x O y-3y +2y = 0 O y- 3y-2y 0 O y" +2y +3y =…

A: y=C1ex+C2e-3x

Q: Find a differential equation for y=c1e^9t +c2e^-4t. Oy"+5y'+16y=0 Oy"-5y'-16y=0 Oy"+5y'+36y=0…

A: Find DE

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.