Given that y = e' is a solution to the equation ty" – (t + 1)/ + y = 0, which of the following is another solution to this equation? tet te-t t+1+e' NONE OF THE ABOVE -te-t - e-t

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A: Check for all the options.

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A: Using method of exact differential equations.

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Q: Q.No.3: a) Solve Cauchy-Euler equation d'y 3x3 dx3 d²y dx2 dy + 9x? + 6х— — бу %3 1+x3 dx

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Q: For what values of r does the function y = ex satisfy the differential equation y" – 4y' + 2y = 0?…

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Q: y y'+y? x +1

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Q: ind the solution to the initial-value problem. y' = −6x tan(y), y(0) =  ? 2 y

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Q: 2. Find the general solution. y' + sec x y = cos x. а. b. y' +y =÷(e* -e-*).

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A: I am attaching image so that you understand each and every step.

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Q: y' = e2/y, y(0) = 1, 0 st< 2, h = 0.5 %3D

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Q: Solve the following initial Value problem including Riccati equation: dy -y+xy +1 2 ylo) = 1 Where…

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Q: For what values of r does the function y = e" satisfy the differential equation 2y" + y' – y = 0?

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Q: obtain

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Q: 8. Use variation of parameters. а. (D? — 1)у %3D ех + 1 Show Complete Solution Answers: a. y = c,e*…

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Q: Find the solution of the initial value problem ty y+3/y² +t°, y(-e) = 0. Select one: ly + Vy +t| =…

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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.