Q2) find the general solution (Three only) 1. y" – y = e* (Used Variation of Parameters) 2. (D³ – D² – 6D)y = 0 3. (D² + D – 12)y = 6e5x - - - (used D- operator methods)

Q: Q2) find the general solution (Three only) 1. y" – y = e* (Used Variation of Parameters) 2. (D3 – D²…

A:

Q: Solve 2x y da + (x+3y*)dy = 0 Ax'y + xy* = € |9 r*y+y* = c

A: 2x y dx + (x^2 + 3y^2) dy   Here we have to solve the given differential equation:   The given ODE…

Q: 1. y = x* – 2x3 + 5x? – 4, find y*

A: As there are multiple questions, first one is solved here.

Q: Find the general solution of y + (1/3)y = e"y Show your solutions on a separate sheet of paper. A…

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Q: I want to solve all the questions by undetermined coefficients method Solve y''-y' - 2 y = 6 x e2 ×…

A: Solution is given below:

Q: T<t< 22 1-11 %3D

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Q: (15) y "'+ y " =e (16) y () – y (4) = 1 %3D

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Q: Find the particular solution for (2y3 – x³) dx + 3xy² dy = 0 when x = 1, y = 1

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Q: 2. (3ху + Зу — 4) dx + (х + 1)? dy %3D 0. ANS. у 3D 2(х + 1)-1 + c(x + 1)-3.

A:

Q: -3t y" + 6y' + 8y = e−³t - e-5t, y(0) = 0, y'(0) = 0 a Ob O d a. (e³t-1)²e-5t 3 b. (et - 1)³e5t c.…

A: First let us find the general solution of given initial value problem.

Q: (e) y(ª) – 4y "= 5x² -e2* (g) y(“) +8y '= 4

A: The given differential equation is y(4)-4y''=5x2-e2x

Q: Determine the areal mean precipitation depths by a) Arithmetic, b)Thiessen and c) Isohyetal map…

A:

Q: +4x 6) y' = Ans.: y-x =e +C. 3y - 2xye"

A: According to the guidelines in case of multiple questions we are only allowed to do first question,…

Q: Find a solution of x dy = y²-y that passes through the indicated points. dx (a) (0, 1) y = (b) y = 1…

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Q: he (D'+ 4D+4)y(x) = 5Se equation %3D

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Q: Let p and q represent the following simple statements: p. It is time to sleep. q It is Tuesday.…

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Q: 2- Solve the following equation: Utt = c?uxx +, u(0, t) = u(2, t) = 0 u(x,0) = x? ,u; (x, 0) = e*

A:

Q: Solve y' -y = y*e* A) y(c - x) = e", y = 0 8) y(c - x) = 0, y = 0 Cy = e, y = 0 D) y(e - x) = e", y…

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Q: (1 + x²) e ³* dx

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Q: ompany determines that monthly sales S(t), in thousands of dollars, after t months of marketing a…

A: Given:  s(t)=3t^3 - 50 t^2 +230t+180(a). Find; s'(t),s'(2),s'(3),s'(5)And…

Q: d²y(x) , dy(x) ho dx² - y(x) = x²e² : dx The general solution to the equation xe + 2 4 3 -xe" +e*…

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Q: (w°t wz? -z) dw +(z² tw² -w) dz= 0

A: Let's find.

Q: (2xy¹e³ + 2xy³ + y) dx + (x²y²e³ − x²y² − 3x)dy = 0

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Q: - 5y"- 6. e 6

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Q: Solve the he (D’+ 4D+4)y(x) = 5e equation y,)-(2x+1)e - y,) (2x+1)e y,(x) (2x-1)e 32

A:

Q: find dy/dx x(х+1)(х- 2) (х*+1)(2х+3) 25) у%3 43) у%3D 1+(lin x)? 1+(ln x)?

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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.