The general solution of 5uxx – 6uxy +uyy = 0 -

Q: у" - у' - 2sin 2x

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Q: Show that the equation x2 + y2 = 2003 has no solutions in theintegers.

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Q: Obtain the general solution valid near the origin: х(х-2)y1+2(х-1)у - 2у %3D0

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Q: y(4) + 2y" = 2

A: Here we need to find the particular solution of given differential equation. The solution is…

Q: Find the solution to the IVP.y = cscx – ycotx' y(÷)= 1 ysinx = x+ 2 ysinx = x + 1- I 2 ycscx = x +…

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Q: y" + y = 2x

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Q: Obtain the general solution. xy3dx+ex^2dy=0

A: The given differential equation is xy3dx+ex2dy=0. We have to obtain a general solution.

Q: Obtain two linearly independent solutions valid near x = 0 x2y" + x(x-1)y' + (1-x)y = 0

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Q: ) Obtain the general solution of y" + 2y + y = e² In r

A: In this question, the concept of the differential equation is applied. Differential Equation A…

Q: 3. Obtain two linearly independent solutions valid near the origin: 3xy" +(2-x)y' - 2y = 0

A: As per the question we are given the following second order ODE : 3xy’’ + (2-x)y’ - 2y = 0 And we…

Q: Find the general solution of y’ + (1/3)y = exy4

A: We have to find the general solution of the differential equation y'+13y=exy4 .

Q: x(1-х)у" - Зу' + 2у %3D0

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Q: Obtain general solution of y' = y + y^3.

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Q: Obtain two linearly independent solutions valid near x = 0  xy" + x(x - 1)y' + (1 - x)y = 0

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Q: Find the general solution of (xe +y)da – cdy = 0 %3D

A: Given differential equation is xeyx+ydx-xdy=0 we can write it as dydx=yx+eyx             (1) which…

Q: Obtain 2 linearly independent solutions valid near the origin for x>0 2хy" + 5(1 — 2х)у' — 5у %3D 0.…

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Q: yV + 2y" + y" = re=*

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Q: 13.Obtain the general solution of y²dx+x(x +y)dy = 0

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Q: Find the general solution of (x^2+x)dy=3dx

A: Given difeerential equation, (x2+x)dy=3dx

Q: I Find a particular solution to y" + 4y' + 3y = 3te*. %3D Yp =

A: Solution:-

Q: Obtain the family of solutions 1) xydx – (x² +3y² ) dy = 0 2

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Q: A solution of a DE which is not exact and falls under Case 3 i.e. a2 can alone be solved by b2 DE…

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Q: Solve for the particular solution of the non-homogeneous DE. 2y'' +y' = 3

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Q: - y" - 4y - 12y = e

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Q: Y, = Ax² is particular solution of y' + y" = 1 for A = %3D

A: Here, yp=Ax2yp'=2Axyp''=2Ayp'''=0

Q: 2. Obtain the general solution of the following equations: (i) x²uxx + 2xyuxy + y²uyy + xyux + y² uy…

A: If you want I solved other option please post it again

Q: Find the general/particular solution of the follow 1. xy' - y = 2x Inx 2. (1+ x)y' +y = vx 3. t+2y =…

A: The general solution of the differential equations

Q: Find the general solution of y" – y' – 2y = cosh 2t.

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Q: Find general solution to Cauchy-Euler equation: (t^2)y''-2ty'-3y=t^2

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Q: Find two linearly independent solutions of y" + 3ry = 0 of the form Y1 = 1+ a3x³ + a6x® + · .. Y2 =…

A: We find two linearly independent solutions of the given differential equation  y"+3xy=0.......(1)

Q: Find the general solution of ди ди (y – z) + (x – z) ди + (2y – 2x) ду - az

A: The differential equation is given as (y-z)∂u∂x + (x-z)∂u∂y  + (2y-2x)∂u∂z = 0 We will solve it by…

Q: Show that y = In (x) is a solution of xy" + y² = 0.

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Q: Solve the first order PDE -2uz + 6uy = 0, u (4y, y) = 2y +1

A: we we know that P ux+Quy=R then axuilary equation is

Q: 2y" + y' = 3

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Q: Solve the PDE of the first order Uz – Uy = 0, u(x, 3.x) = x²

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Q: Show that u(x, y) = y²e* + 3x² is the solution for u = yuyy + 6x . 2

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Q: Obtain two linearly independent solutions valid near x = 0 x(1-x)y" - 3y' + 2y = 0

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Q: Solve for the orthogonal tragectories y²= 4x (1- kx) %3D

A: This question is based on differential equation.

Q: Find the general solution of 2y"+3y+y=3sin.x+xe"

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Q: Obtain two linearly independent solutions valid near x = 0  x(1 - x)y" - 3y' + 2y = 0

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Q: The solution to the non-homogeneous DE y' - Бy +ву 3D2х + 3 is 2. a. Ae3x + Be3* +1/3 x + 7/9 b.…

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Q: Solve the DE using Linear First Oder Method: y +yx = x - 3. if y(0) = 2 %3D

A: Given y'+yx=x-3   if y0=2 To find the general solution

Q: Let (x, y,) be the solution of the following equations In 2 (2x) = (3y)n³ 3Inx = 2lny %3D Then x, is

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Q: Find the particular solution of: y' – 4y = x²e* that satisfies y(0) = 2.

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Q: 2. Obtain the particular solution. y"-y'-6y=0; when x=0, y=2,y'=1

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Q: Solve the Cauchy euler equation dy 3x2 d²y + 6x -6y 3+ Inx3 dy dx3 dx2 dx

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Q: Find the general solution of y" + 2y=ex +2.

A: The Auxiliary equation is D2+2=0 solve for D Therefore  D=±-2=±2i Therefore the solution is…

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.