Solve the equation. (+5x) dx+ e*y dy = 0 An implicit solution in the form F(x,.y)% C is =C, where C is an arbitrary consfant. (Type an expression using x and y as the variables.)

Q: y' + y = e», y(0) = 1.

A: Consider the first order differential equation            dydx +P(x)y= Q(x)…

Q: Solve the equation. 3 2 dx ² = 6x² (9+ y²) An implicit solution in the form F(x,y) = C is = C, where…

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Q: Solve the Bernoulli equation. -2. xy' + y =y, x>0 The solution is y = %3D

A: Follow next step

Q: Solve the equation dy/dx=6x^5(6+y^2)^3/2 An implicit solution in the form F(x,y)=C is  _  C, where…

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Q: iv) E[E[Y²|X]]_ (EY)²

A: Note: As per you request, we have helped you solve only Part (iv) of the question.

Q: y' = et ; y(0) = 2 find the general solution

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Q: How can we solve this separable equation? N(y) * dy/dx = M(x)

A: The given differential equation is, Where, N(y) and M(x) are the functions of the variable y alone…

Q: Consider the equation, test whether it is exact and solve the IVP.        x(x-y)dy = y(y-3x)dx…

A: solGivenx(x-y)dy=y(y-3x)dx

Q: solution is y(t) = c¿e-2t + c2e5t + 4t + cos2t where c,and c2are arbitrary constants. Note: You must…

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Q: Use appropriate substitution to reduce the following equation to a variable separable and then dy 3x…

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Q: (a) Form the difference equation whose solution is yk = c1 + (c2+ csk)(-1)*, where c1, cz and cs are…

A: Given that the solution is yk=c1+c2+c3k-1k. To find the difference equation of this solution: For,…

Q: Solve the equation. dx 3 dt Xet+6x An implicit solution in the form F(t,x) = C is = C, where C is an…

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Q: Solve the equation. dx dt 2xt² C An implicit solution in the form F(t,x) = C is =C, where C is an…

A: To find the solution of given differential equation.

Q: Q: Solve : -4t y +2y - Jydt =e s(t-3) | yco) = 0 ,y'co) = 0 %3D

A: The given differential equation is: y''+2y'-∫0t y dt=e-4t δ(t-3) ;        y(0)=0,  y'(0)=0…

Q: dy 2x+xy dx у2+1

A: we have the differential equation dydx=2x++xyy2+1 or (2x+xy)dx-(y2+1)dy=0 we have to find the…

Q: dy 4у dx х (у-3)

A: Given query is to find the soly of the differential equation.

Q: 4. x2(y + 1)dx + y² (x – 1)dy = 0

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Q: dy ----- + 2xy 2x using the method for linear equations. dx Solve ww-

A: Given the ordinary differential equation dydx+2xy=2x

Q: dw 4w A) Give the general solution of dx = x³. B) Solve y' + = y²x³.

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Q: 1. 4x dy – y dx = x²dy %3D

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Q: Solve the equation. dx 4. = 4xt dt An implicit solution in the form F(t,x) = C is = C, where C is an…

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Q: Solve the equation. dx = 4xt² dt An implicit solution in the form F(t,x) = C is (Type an expression…

A: The solution is given as

Q: Solve the equation. dx dt = 9xt4 An implicit solution in the form F(t, x) = C is= C, where C is an…

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Q: Solve the equation. dx dt = 2x1² An implicit solution in the form F(t, x) = C is =C, where C is an…

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Q: Solve the equation 3x(xy – 2)dx + (x³ + 2y)dy = 0 ƏM = 3x2 ду Ne 3x2 Sol/ əx f(x, y) = (3x²y – 6x)dx…

A: From the given differential equation: 3xxy-2dx+x3+2ydy=0 As we know that the differential equation…

Q: Exercise: Separate the variables and solve. 1. x(2y-3)dx+(x²+1)dy=0 ans: (x²+1)(2y-3)=Fc

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: 2. 2Сy — У(х-1) dx

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Q: Solve the equation. dx 4 dt t+ 8x хе An implicit solution in the form F(t,x) = C is = C, where C is…

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Q: Solve the equation. (x+ 9x*y*) dx+ e*y°dy = 0 An implicit solution in the form F(x,y)3D C is (Type…

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Q: solve the given initial value problem. Describe the behavior of the solution as t → ∞.…

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Q: Solve the equation. dx = 8xt² dt An implicit solution in the form F(t,x) = C is = C, where C is an…

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Q: Solve the equation. (x³ +8x³y4) dx + exy³dy=0 An implicit solution in the form F(x,y) = C is-C,…

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Q: Solve the equation. dx dt 2x1² BILD An implicit solution in the form F(t, x) = C is =C, where C is…

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Q: 3.t+y=t²y²

A: Given tdydt+y=t2y2

Q: Solve the equation. dx = 2xr? dt An implicit solution in the form F(t,x) = C is =C, where C is an…

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Q: (c) Test for exactness and solve the IVP, critically outline the particular solution (x + 5e*y)dx =…

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Q: he (D+D+1)y(x)= xe equation Solve the y,(x) = (x-1)e* -e y,(x): (x+1)e" y,(3) =x-1 (x-1)e"

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Q: 2x2+3x-2=0 D3+4x+1=D0 Solve the following eavation for z. -2ニー72

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Q: dy 2хy dx y2 + y?e6). +2x2e

A: We have to Verify if homogenous equation then solve for general solution​As per given question

Q: y" – y = 5sin²(x); when y(0) = 2,y'(0) = -4 %D %3D

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Q: Solve the equation. dx 2x1² dt **** An implicit solution in the form F(t, x) = C is =C, where C is…

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Q: Solve the equation. (* + 4x*yP) dx+ e* ydy = 0 An implicit solution in the form F(x,y) =C is -C,…

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Q: (x² + 2.xy)dx + xdy= 0 The solution in implicit form is the set of points (x, y) where F(x, y) = =…

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Q: D. Use Variation of Parameter: Solve the equation: (D² – 3D) + 2y : e 2x 1+e2x

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Q: II. Solve the following homogenous equation. Write Complete Solution. Box your Final Answer. 1.…

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Q: Determine whether the equation is exact. If it is, then solve it. 2x dx - 5y dy = 0 y? Select the…

A: for Exact Differential EquationM(x , y) dx  + N(x , y ) dy   = 0dMdy= dNdx

Q: Solve the equation. 3 dy dx = 4x5 (8+y²) ² An implicit solution in the form F(x,y) = C is = C, where…

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Q: Solution 2 (i) f(x,y)=5x'e" +3xy– 2x' +3ху - 2х° of of ây дхду дудх

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Q: PART - B IA. Solve (4xy + 3y? - x)dx + x(x +2y)dy = 0 with y(2)=2. IB. Solve (x²D2 + xD - 1)y =ri

A: Since, you have posted multiple questions. As per guidelines we will solve only first question. If…

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.