solve in R: (x)-1" = (z-1)² 2x+1 %3D

Q: Adx + (x-y + 2)²dy = 0

A: As per bartleby guidelines we are supposed to answer only 1 question per post. This post contains 2…

Q: ² - x ²² = y² dz ४x d²z Find the solution of xy' буду

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Q: Use separation of variables to find an explicit solution. xyy' = 2xy + y?

A: Idea: after separating x,dx and y, dy terms together. we take integration on both sides . after…

Q: Find the solution by using Solution of 2nd order D-Es 2 X ý XỨ ty - xy + y = Lnx -

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Q: 18. V1+x dx 1-X

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Q: dy-Hy-5 te %3D xp

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Q: (9x-4y+4)dx-(2x-y+1)dy=0

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Q: Solve (D2+2D+2)y=e-x+sin 2x

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Q: 4.2(х — у)dx + (3х — у — 1)dy 3 0

A: Let's find.

Q: Solve this DE (D2+2D+2)y = e-xcscx

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Q: Find the general solution using variation of parameters. y" – 4y + 4y = (x + 1)e²"

A: Given differential equation is, y"-4y'+4y=x+1e2x The auxiliary equation is, m2-4m+4=0m-22=0m=2,2…

Q: Solve the equations by the method of undeterminedcoefficients

A: First, consider the homogeneous case d2ydx2+7dydx=0. We solve the auxiliary equation as…

Q: use Separation of Variables to find the general solution. yy' = x

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Q: SOLVE THE FIRST ORDER DE. (x³ + y*)dx + 8y³xdy = 0 when x = 4, y = 2

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Q: Obtain the general solution. 1. y' = xy?

A: We will find out the required general solution.

Q: Find the general solution using the method of variation of parameters (1) y" + 9y = 12 sec 3x

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Q: 2. Solve by using an integrating factor. (a) y' + 2ty = 2te¯ %3D

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Q: Use the method of variation of parameters to solve y" – 4y +4y = 2e". %3D -

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Q: dx (x-2)V4x²-16 is equal to 2 - -1 + C 4 sec

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Q: 3. (x – 4y – 9)dx + (4x + y – 2)dy = 0 -

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Q: Find the general solution using the method of undetermined coefficients. dx +7x=8e° dt -41

A: Answer

Q: Find the general solution using variation of parameters. - 4y + 4y = (x + 1)e²-

A: To solve the following problem

Q: Solve the equation xydx - (x + 2)dy = 0

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Q: (1 + x²) e ³* dx

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Q: Find the solution 7. (x + 4y³)dy - ydx = 0

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Q: Solve the equation by using the method of variation of parameters dy 2dy 22 + 2y = e“ csc x. dx dx2

A: Let us consider the second order differential equation y''+py'+qy=g(t) Determine the complementary…

Q: dx is is equal to: 2x/4-(2x)2

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Q: dx х V1-4 In2х

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Q: |2/2r| 2, dx -1

A: Let I is the value of given Integral.

Q: Solve the Solution (6x+y^2)dx+y(2x-3y)dy=0.

A: Given differential equation is in the form Mdx+Ndy=0 Where, M=6x+y2 and N=2xy-3y2 If ∂M∂y=∂N∂x then…

Q: - y" – 2y' + 1 = (x + 1)e2x

A: Just I have used the method of variation of parameters and easily find the required solution.Final…

Q: Please solve (2x-y)dx + (4x+y-3)dy = 0 using Linear coefficient method.

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Q: A. y– 2y +1 = (x + 1)e²x

A: To solve the given differential equation using method of variation of parameters.

Q: 8. dy V1+ /1+x -1

A: We need to evaluate the following integral ∫-18dy1+1+x

Q: Find the solution. ,dy --y²=2xy dx A y B y = -(- -1 D 2x x-2

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Q: Solve for x -1 logs : %3D 3 243 O V5 No Solution

A: Use logarithmic identity:-  (i)  logaa = 1 (ii) bloga = logab

Q: 2. (2x + y – 4)dx + (x – 3y + 12)dy = 0 -

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Q: Use separation of variables to find an explicit solution. xyy' = 2xy 2 2 + y?

A: using seperation of variables  and then integrate....

Q: Solve using the method of variation of parameters y" + 3y' + 2y =: 1+ e*

A: Given that: y''+3y'+2y=11+ex

Q: y = e² -Vx sec 6x 3

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Q: Find the complete solution: 16) = x2 – 2x – 4, y= -6 when x= 3 | dx

A: ∫xn dx = xn+1n+1+C

Q: Solve: y' + 3y = e' :) By Method of Variation of Parameters :

A: Given: Given differential equation is y'+3y=et We solve this equation by  variation of parameter…

Q: In the lab, Miguel has two solutions that contain alcohol and is mixing them with each other.…

A: Given that, Miguel has two solutions, solution A and solution B.

Q: Solve for the General Solution. ( x csc y/x-y) dx + x dy = 0

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Q: Solve the D.E (X+1) =x(y'い) dメ

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Q: Solve: 30 dx 1 -Sis vdv %3D * V - 10-0.01v2 15

A: Given: ∫030dx=v10-0.01v2-∫15vvdv

Q: Use variation of parameters to obtain the general solution. y''+4y = 4 sec2x

A: The given differential equation is; y"+4y=4sec2x.

Q: Solve:- dy 3y -4 x" こ メlo

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Q: Solve the DE by Variation of Parameters (D³ + D² – 2D) y (0) = 0.4, y' (0) = –0.4, y" (0) = -0.4

A: The Symbolic form of the equation is D3+D2-2Dy  =4e-2xcos x Auxiliary  equation is D3+D2-2D=0…

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.