3. Solve the following diferential equation (y-y In x)dx = x In xdy.

Q: dz az C. Find ax and 4. 5x*y?z-y cos xz = 2x°+y

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Q: 1 dy 3. С + 2y = sin x when y(r) dx

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Q: 3) eYsinx dx = cos?x dy 4) y' + (÷) y = xy?

A: First question we can easily solve using veriable separable method. Second question we can use from…

Q: 41. e* sin y d A, R = [0, 2] × [0, 4]

A:

Q: Solve the following exact equations: 1) (сos 2y — 3x*y*dx + (сos2y — 2xsin 2y -2x'y)dy %3Dо 2) (2ху-…

A:

Q: Solve four questions of the following DEs dx 1- 2 dy x = ey/2 x3 %3D -

A: You have asked multiple questions, we will solve the first question for you. The next question can…

Q: 1. y = x' sin? (2x2) 2. y = In (sec? e) 3. У%3D 1 xe4x 16

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: . Solve the following Ricatti equations: 2 y - y² = -x², given that y₁ = x² is a particular dy dx…

A: *By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: Solve Dipferential Eg. 3. dy dx 2xy' e +2xy +Y こ 2

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Q: Solve D.E using bernouliis equation os(y)·y' + sin(y) =x

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Q: d²y c. Find dx? if y= sin’0 , x= cos’e

A: We have y=sin3θ    and x=cos2θ We need to find d2ydx2 Now,  dydθ=3 sin2θ ddθsinθ=3 sin2θ cosθ dxdθ=2…

Q: Obtain the general solution of the following equations: sin y(x+sin y)dx+2x2cos ydy=0

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Q: B) / Solve the Following Equations: (x+y) sin y dx+(x sin y+ cos y) dy =0

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Q: The Bernoulli's Equation dy/dx - y[1/(2x)] - y^5 = O can be transformed in which of the following…

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Q: D- y" + 2y' + 5y = 6e2* + x sin? x + e*cos 2x %3D

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Q: solve the following diferential equation by finding an appropriate integrating factor :…

A: Any differential equation in the form of Mdx+Ndy=0 is exact when ∂M∂y=∂N∂x, and solution of exact…

Q: dy ,2,,2 1. х + 3y = x?y? dx

A:

Q: ? cos i dt

A: You must have idea about integration by parts.

Q: dy 5. Solve the IVP: = cos(r+ y), y(0) = dr

A:

Q: M(x,y) + N(x,y)*dy/dx = 0 ? is it Exact Equation?

A: Consider the equationMx,y+Nx,y×dydx=0provided that there exists a function ψ(x,y) such that∂ψ∂x=Mx,y…

Q: solve the di¡erential equation. 17. y′ = sin^3 x cos^2 y             18. x dy - (x4 - y) dx = 0

A: 17). To solve the differential equation: y'=sin3x cos2y Solution: Given differential equation can be…

Q: Solve the general solutions of the following exact equations. 4.)(2x +x°y' )dx +(x³y' +4y° )dy =0…

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Q: Solve the Euler equation d²y dy 3x? dx -5у%3D0 +x dx given that y(1) =1 and y'(1) = 2.

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Q: (b) Use the substitution u = x In y to solve the equation (ry + 2ry In² y + y In y)dx + (2x² In y +…

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Q: What is the general solution to the following equation: (dx/dy)+ xtan(y)=2tan(y)

A: rewrite the given equation in the form of separable differential equation and integrate…

Q: Given a = 2 cos t + 3 and y = 3 sin? t dx dt dy %3D dt dy da

A: From the given problem:   x=2cost+3  &  y=3sin2t   So, a)…

Q: Is the equation separable, linear, bernoulli, or homogenous? x4 + 4xy2 2x3 + x²y +y³ а. dx b.…

A: Separable equation:   A first order differential equation y’ = f (x, y) is called a separable…

Q: Solve the following bernoulli equation dy/dx +y/x =xy^2

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Q: NOTE: Enter the exact answer. (36–z² xy dy dx dz

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Q: Find the general solution dy y cos a + 3xy %3D dx

A: We solve the given differential equation by separation of variables.

Q: Is the equation separable, linear, bernoulli, or homogenous? x4 + 4xy2 2x3 + x²y +y³ а. dx = x* +…

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Q: Is the equation separable, linear, bernoulli, or homogenous? dy а. dx x4 + 4xy² 2x3 + x²y +y³ b.…

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Q: Solve four questions of the following DEs 1- xy dy + (x² + y² )dy = 0 dx 2- y = ex/2

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Q: So S (2x + 3z – y). dz. dy. dx B- Solve

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Q: solve the di¡erential equation.3. sec x dy + x cos^2 y dx = 0        4. 2x2 dx - 3sqrt(y) csc x dy =…

A: 3).To solve the differential equation: secx dy+xcos2y dx=0. Solution: Separating the variables of…

Q: Solve for this equation, show your solution for the exact DE. (Non-anonymous question) 3x(xy - 2)dx…

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Q: FIND Y(S) OF THE GIVEN EQUATION. y" + 4y = cos(t-3) +4t, y(3)=0 y' (3)=7

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Q: 1. Find the general solution of (y? – 1) = 4xy? dy %3D dx

A: Topic:- differential equations

Q: Solve the following equation d² y dt² 2 + 2y = 3e sin t

A:

Q: If y = (sin¬1 x)², show that dy (1 – x²) da? dy = 2. dr

A: y=(sin-1x)2 we have to show  (1-x2)d2ydx2-xdydx=2

Q: Find (d^(2)y)/dx^2 if y=sin(x)cos(x)

A:

Q: Solve the following Bernoulli equation. (* – 2xy dx + 3x²dy = 0 where y(2)=1.

A: Given, The Bernoulli equation y4-2xydx+3x2dy =0   Where y2=1 We have to solve the bernoulli's…

Q: d’y If y= cos 2x, then at dx? x = 0

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Q: Find the general solution of the equation y" − 4y' + 3y = sin(x)e²x -

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Q: Is the equation separable, linear, bernoulli, or homogenous? dy а. dx x4 + 4xy2 2.13 + x²y +y³ b.…

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Q: Find solution of the following linear equations. dy (a) + (tan x) y = cos²x y(0) = -1 dx dy

A: As two questions ,are given, I will solve only one : dydx+(tan x)y=cos2x---(1) This is a linear…

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.