y ху' + у%3Dу?, х>0

Q: Solve y" – 2y' – 3y = 3t² – 5 using the Method of Undetermined Coefficients.

A:

Q: In Bernoulli equation y' - xy = xy³, the value of 1(x) is ex² False True O

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Q: Find the general solution of x(x + 3)dy = 2dy + √(9- y²)(12x + 9 + 4x²) dx.

A: We will separate variables and then will integrate it to find general solution of given differential…

Q: 04/ Solve the Bernoulli equa 3 y +y-x'y* = 0

A: Given equation y'+(3/x)y -x^2y^4   Given equation is of the form dy/dx+py=Q(X) We will evaluate as…

Q: Q7. Solve the Cauchy-Euler equation (i) 4.x²y" + 4.xy' – y = 0. (ii) 4x²y" + y = 0.

A:

Q: (x)= e°2× (x-1) us

A: Here The second method gives the correct result for an initial guess of less than one.

Q: (ii) 4x²y" + y = 0.

A: Solution

Q: 6z dy (78)a

A:

Q: x2y" + xy' – x²y = 0

A: We have to solve second order differential equation Here given differential equation is second order…

Q: Solve the Euler- Cauchy equation

A: We solve the given differential equation using Euler cauchy method.

Q: ) Solve for the general solution of the equation: 2x’’+ 200x = 0 B) Solve for the particular…

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Q: (6xy + y² − ysin(xy))+(3x² + 2xy-xsin(xy))dy = 0

A:

Q: Solve the Cauchy euler equation 3x2+ 6x-6y = 3 + Inx d²y + 6x2-6y = 3 + lnx³ dx3

A: In the given question we have to solve the given Cauchy Euler equation. Method: the Cauchy Euler…

Q: The particular solution for the equation: (d2y/du2) + (dy/du) + y = e3u yp(u) = ? a) (1/11)e3u…

A:

Q: (ii) 42?у" + у — 0. 4.x

A: Consider x=et and differentiate to obtain the expression of dtdx . x=ett=lnxdtdx=d dxlnx=1x Break…

Q: Find the general solution of EonC(2)'y/n-1),

A: ∑i=0nnCi(2)iy(n-i)

Q: Show that the substitution u = y' leads to a Bernoulli equation. Solve this equation. xy'' = y' +…

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Q: Ex. (9) Sol:- Solve 3y"-2y'+y= 4x+2

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Q: With y(5) = 0, solve y′ = e−y(2x − 4)(show all steps)

A: This question can be solved by variable separable method. In variable separable method, separate the…

Q: 1) Find the general solution of the equation x³y"" - 2x2y" - 4xy' + 8y = x² + lnx.

A: In this question we will find the general solution of the differential equations.

Q: 4 Solve y" – y" – y' + y = 2e¬t + te' + 3 by using both the method of undetermined coefficients and…

A:

Q: Q4. (a) Show that the substitution r= e' reduces the equation ar'y" + bry' + cy = g(x) to an…

A:

Q: Solve

A: Topic:- solution of differential equations

Q: 8. Solve the Cauchy-Euler equation 4x²y" + 8xy' + y = 0.

A:

Q: 1) Find the general solution of the equation x³y" - 2x²y" - 4xy' + 8y = x² + Inx.

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Q: Solve the general solution y4 + 2y" + y = x² sin x

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Q: What is the particular solution if y(1)=0? 1/2 xy = y + (x² + y³)"

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Q: Solve the following: 1. y'=√x+y+I 2. 2xy + y³e-2 = 2xy. (Bernoulli) 3. (x-y)y' = x+y, y(1) = 1. 4.…

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Q: Exercise 4. Solve the equation xx' + y = y' + 2x² = 1. = 2t,

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Q: Solve the Cauchy euler equation d²y + 6x 2-6y = 3 + Inx3 dx x3 d3y 3x2 dx2 dy dx3

A:

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.