d²y + 2 + y = et.t dt? What is the special solution function of the given differential equation?

Q: Solve the differential equation dz/dt + 3et+z = 0

A: Use variable separable method for solving differential equation

Q: dP VPt. P(1) = 2 dt %3D

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Q: Solve the differential equation with initial condition dy 7y²x3 dx %3D У (2) %3D 3

A: The main objective of the question is to establish relation between x and y.

Q: Find the solution of the differential equation that satisfies the given initial condition. dL KL2…

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Q: Find the solution of the differential equation that satisfies the given initial condition dP = 4√…

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Q: Find the general solution of the differential equation 2 = -5(y – 3). dy %D dt

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Q: Solve the differential equation d'x(t) ,, dx(t), +3. +2x(t) = 4 e' dt dt? Where x (0) = 1,x(0') =…

A: Given the differential equation

Q: Find the general solution of the given higher-order differential equation. du , du + 2u = 0 dt3 dt?

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Q: Check whether or not that 1- Ae* y = 1+ Ae* is a solution to the differential equation, dy ** -1).…

A: Check whether the given solution is a solution to the given differential equation or not.

Q: Find the general solution to the differential equation y''+5y'+6y=et

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Q: Find the general solution of the given higher-order differential equation. du, dzu d?u - 2u = 0 dr?…

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Q: Solve the differential equation. dz + 6e+z = 0 dt z = -In(-6e x - C)

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Q: Find the solution of the differential equation that satisfies the given initial condition. x In(x) =…

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Q: Solve the differential equation: y dt + t (t + y) dy = 0

A: Given that: y2dt+t(t+y)dy=0

Q: Find the solution of the differential equation that satisfies the given initial condition. dy 7xey,…

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Q: Solve the differential equation. dz/dt + et + z = 0

A: Given : dzdt+et+z=0

Q: Find the solution of the differential equation that satisfies the given initial condition dy 9xeY,…

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Q: The general solution of the differential equation d'x ,dx -4 +5x = 0 is ? .2 dt? dt

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Q: Find the general solution of the given second-order differential equation. y" + 16y = 0 %3D y(x) =

A: We have to find

Q: Find the solution of the differential equation that satisfies the given initial condition dy/dx =…

A: Given, dydx=5xey y=0 when x=0

Q: Write an equivalent first-order differential equation and initial condition for y. y= -1+ ](5t -…

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Q: Given: 1+ ce y = 1- ce 1+ ce y = 1- ce is a solution to the differential equation Show that dy 1 (ỷ…

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Q: Find all equilibrium solutions of the differential equation dy = 2y (1 dt - 100.

A: The given differential equation is dydt=2y1-y100.

Q: d'y + y = t-2t + 3 4 dt? dt

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Q: Find the general solution of the given higher-order differential equation. d³u d²u - 2u = 0 + dt3…

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Q: Determine the general solution for the given higher order differential equation. dz (D² + 16)³(D² +…

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Q: (D³ – 3D² – 3D + 1)y = 0

A: To find out the solution of the differential equation.

Q: Find the solution of the differential equation that satisfies the given initial condition. dP 5V Pt,…

A: Given query is to solve the initial condition differential equation.

Q: Find the general solution of the differential equation. dy dt=t2/( √3 + 5t)

A: Given differential equation is: dydt=t23+5t Given differential equation can be written as:…

Q: (e²y + te³y)dt + (te²+2) dy=o Initial condition: y(o)=-1

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Q: Consider the differential equation: dy/dt + ty = e-1/2t^2 ; y(0) = 1 Is y(t) = te-1/2t^2+e-1/2t^2 a…

A: Given differential equation is dydt+ty=e-t22                                 (i) It is a first order…

Q: Solve the differential equation

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Q: а. (у* — %3D0 2ху)dx + 3x?dy

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Q: The solution to the differential equation dy t - 1 dt 2y is IS

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Q: Find the solution of the differential equation that satisfies the given initial condition. x +…

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Q: Evaluate and solve the linear differential equation. (d2x)/(dt2) + 2 (dx)/(dt) + 5x = 8e-t, when t…

A: Given differential equation can be writen as, (D2+2D+5)x=8e-t.....(i)d=ddt,…

Q: Find the solution to the differential equation dB + 3B = 90, dt %3D with B(1) = 100 B =

A: We know, ∫emxdx=emxm, for any real number m.   Given differential equation, dBdt+3B=90....(i) with…

Q: Find the general solution of the first-order linear differential equation. dy 2y dx x > 0 y =

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Q: хуdx + (x? - Зу)dy%3D0

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Q: -2JX e dx =1, y (1) = 1 dy | %3D

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Q: Find the general solution of the differential equation dy - 2t(y² + 9) dt

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Q: Find the solution of the differential equation that satisfies the given initial condition. dy = X,…

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Q: Find the fundamental set of solutions for the differential equation d²y + a²y = 0, a#0. dt2

A: We need to find Fundamental set of solutions for the given differential equation. d2ydt2+a2y=0…

Q: Find a solution to the differential equation u′(t)=u(t).

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Q: Find a linearization of the differential equation: d^2x/dt^2 + xe^(0.01x) = 0

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Q: dx x2-y2-xy 0 ху dy

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Q: Check whether or not that 1- Ae" y = 1+ Ae" is a solution to the differential equation, dy_ 1 y²…

A: Yes. The given y is a solution of the differential equation provided.   The detailed solution is as…

Q: Find the solution of the differential equation that satisfies the given initial condition. dy xey,…

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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.