The general solution of : y' y In(y) Select one: O a. y=ee*+c O b. y = c ex C. V3ex+c

Q: Determine the Solutions of ke followsing differential eguation ě (5-x) dx Xy dy %3D

A: A separable differential equation is any equation that can be written in the form. y′=f(x)g(y). The…

Q: Find the change in y, Ay when z = 5 and Ar = 0.2 Find the differential dy when z 5 and da 0.2 Submit…

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Q: Find a particular solution to the IVP given by: y" + 2y" - y' - 2y = 0, y(0) = 1, y'(0) = 2, y"(0) =…

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Q: Use Euler's method to integrate dy - = y – t² + 1 dt om t=0 to 0.2 with a step size of 0.05. The…

A: Given that, This can be written, . Here h=0.05 the aim is to find t=0 to t=0.2. And initial…

Q: (a) Given the initial value problem dy sin (ry) + cos (x + y) + = 0, y (0) = 0, dr approximate y…

A: The solution is given as

Q: Let y = y(t) be the solution to the initial value problem dy – y = e' cos t; y(0} = 1. dt Find the…

A: Given that y=y(t) be the solution to the initial value problem  To find the value of y(pi)

Q: You get to a step that you found a solution of the form: u(r,0) = > An(rn – r=")sin(n0), n=1 where…

A: In this question, we a general solution of Laplace equation is polar form is…

Q: 1. 3(3x2 + y²)dx – 2xydy = 0

A: According to our guidelines we can solve only the first question. Please re post the other questions…

Q: y= Iry %3D y (0) = 0 Show that the Ivp has aunique 1T D-1(tッ))っ昇くt っ y<」 Solution - I

A: See the attachment

Q: Use Euler's method to integrate dy 7 = y – t? +1 dt from t=0 to 0.2 with a step size of 0.05. The…

A: We are given  and step size, h= 0.05

Q: For this initial value problem, compute the first two approximations U, and u, given by Euler's…

A: By uaing eular method

Q: 1. Solve for x(t) and y(t), given that x(0)=4 and y(0)=3 dy - y = 0 dx + x + 4y dt — 10%; х - | dt

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Q: Q4/ 2x 1- If z = f(x,y) and z = x²y³ + + 1. Determine the total differential. -"/2 2- Evaluate: 2 S*…

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Q: 3(1 + 2) - dy 2ty(y – 1) dt

A: The method to find the solution of the differential equation helps to find the required solution.…

Q: dy -y ze°Cos(E) dt y le) =0 1+らine

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Q: Find the solution asked using the process of Homogeneous. (16x + 5y)dx + (3x + y)dy = 0; the curve…

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Q: Solve the equation for heat. azu ди with 0 0 at u(0,t) = u(n, t) = 0 u(x, 0) = x 0 <x< T %3D

A: We have to solve given homogeneous heat equation.

Q: 36. Using the approximation dy dy h dr * Yn+1- y. and that dr 1, y = 2 when r 0. Then, y A h- 2 h+ 2…

A: Please see the answer below.

Q: Let y = 5x?. Find the change in y, Ay when a = 3 and Ax = 0.3 Find the differential dy when x = 3…

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Q: The DE dy/dt = µy – oy², µ > 0 and o > 0 occurs in the study of population dynamics. It has general…

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Q: Let 2x2+ 3x+Y a) Find the differential dy when x = 1 and dx=0.1 %3D b) Find the difiea ial dy when…

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Q: (a) Find the differential dy of y = x² + 2x + 5. (b) Evaluate dy for x = 3, dx = 1/2. (а) dy 3 dx…

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Q: Using h=0.3, approximate the value of y(4) for the given differential using 4th order Runge-Kutta…

A: Consider the given equation and initial value. xy2+x3y12dy+y3-x4dx=0dydx=x4-y3xy2+x3y12 And, the…

Q: The solution of dy/dx = y2 with initial value y (0) = 1 bounded in the interval %3D

A: Introduction :

Q: (x² + 2xy – 4y²)dx – (x² – 8xy – 4y²)dy = 0 - %3D -

A: Consider (x2+2xy-4y2)dx-(x2-8xy-4y2)dy=0⇒ (x2+2xy-4y2)dx=(x2-8xy-4y2)dy⇒dydx=x2+2xy-4y2x2-8xy-4y2To…

Q: 2 y +-y=D = 2t³ In(t), t> 0. (a) Verify that y = t*(1 – 2 ln(t)) is a solution of (1)

A: Take y, differentiate and substitute everything in equation (1).

Q: (x-2y) dx + (2x+y) dy = 0 Prove that it is a Homogenous DE using homegeneity test (degree n) and…

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Q: (a) Find the differential dy of y= /4+ 5x. (b) Evaluate dy for æ = 0, dx = .04. (a) dy dx (b) dy =

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Q: Solve for the general solution of the given DE by using the integrating factors found by inspection.…

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Q: Solve for the general solution of the given DE by using the integrating factors found by inspection.…

A: Please refer the attached image for complete solution.

Q: Find an implicit solution to the initial value proble dy = y? – 2y, dx y(1) = 3. -

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Q: Solve the initial-value problem with the initial condition Y, = 0. dy = y + 3 dt %3D y = %3D

A: dydt=y+3 with the initial condition y0=0

Q: Given: dy/dx + y/x- xy? In x = 0 Find the general solution Choose. Choose. Find the integrating…

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Q: Eliminate the arbritrary constant/s. Show full solution. x= -In t, y= at + bt?

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Q: olve for the general solution of the given DE by using the integrating (x³ + xy2 + y)dx + (y3 + x²y…

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Q: What is the solution of given initial value problem? d²x = y + sin t dt2 d²y dx + cost dt dt2 æ(0) =…

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Q: Use Euler's method to approximate the solution of the IVP, yx? – 1.2y, y(0) = 1 on the interval [0,…

A: Euler's method: Euler's method is used to find the approximated solution of first order differential…

Q: 2. Give an interval of the form (a, b) around r 1 such that the IVP has a unique solution. dy = sin…

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Q: Let y = y(t) be the solution to the initial value problem dy = e' cos t; y(0) = 1. - dt Find the…

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Q: From an integral equation corresponding to the diffrential equation d'y +x + y = 0 with the initial…

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Q: h of the DE's =)y = 2 sin² x ; y(0) = 0 , y'(0) =-2

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Q: is 1/(y^2) is the integrating factor of the non-exacr DE[(y^2)-y]dx+xdy=0, show your solution.

A: Given: y2-ydx+xdy=0 So, M=y2-y ; N=xNow,∂M∂y=∂y2-y ∂y=2y-1∂N∂x=∂x∂x=1 As we know that the expression…

Q: x- y arctan (2) dx + x arctan () dy = 0

A: Given:  The given equation is    [x-y arctanyx)]dx+x arctan(yx)dy=0

Q: dy When reduced to a linear DE of order one in z, the Bernoulli's equation +yl-)= 3x3y² becomes dx…

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Q: (a) Given the initial value problem sin (r + y) + cos (ry)+ dy =0, y (0) = 0, %3D dr approximate y…

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Q: flx, v) = { xe-x(1 + y) x20 and y 2 0 otherwise rmine E(XY). ulate Cov(X, Y) and p. X, Y) =

A: Given Two components of a minicomputer have the following joint pdf for their useful lifetimes X and…

Q: dy f(x.y), y(x,)=y, by Euler's method is dx The third approximate solution of

A: Let us consider differential equation: dydx=f(x,y),   yx0=y0 Approximate solution of differential…

Q: the separable Pential equation dy In(x³) dx ху subject to the initial condition У(1) %3D —3.…

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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.