The Particular Integral (PI) of the differential equation (D² – 10D + 21)y = 19e7 is 19zez Ο ΡΙ- 4 O PI = O PI = 19z = Ο ΡΙ-

Q: Find the integrating factor of a non-exact differential equation 6xy dx + (4y + 9x²) dy = 0.

A: As per the policy of bartleby, the provisions is to solve only one question at a time. So I am…

Q: The particular integral of the differential equation (D² +5D+10)y= 4 is 4 10 10 4

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Q: What is the simplest form of the integrating factor for the differential equation y' +…

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Q: dy = y³ – x³. %3D dx

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Q: Find the values of the constant r so that y = e™* satisfies the differential equation 2y" + y' — у…

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Q: The particular integral of the differential equation (D² + 5D + 9)y = 4 is 4 9 4

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Q: Consider the differential equation (3ze" + 2y)dz + (z²ev + z)dy = 0, z>0. Verify that the equation…

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Q: Use the integration to find the general solution of the differential equation dy = 3x². dx

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Q: The integral factor for the Linear Differential equation 4 - !y= x0 is -I Select one: O True O False

A: For the first order Linear differential equations:

Q: Find the solution to the differential equation dz/dt=7te^(5z) that passes through the origin.

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Q: The particular integral of the differential equation (D² + 5D+8)y =5_ O 8 O 5 o o o o

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Q: Verify that y(x)=exsinx is a solution to the differential equation   2ycotx-d2y/dx2=0

A: Consider the given solution to the D.E. Differentiate it w.r.t x twice to get the double derivative…

Q: Find the Particular Integral for the given differential equation d²y dx2 dy +3 +6y =2x+ 15 dx (10…

A: 1

Q: What is the linear differential equation of dy/dx+2xy+xy^4=0 using dv/dx?

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Q: 7. (xy² – 2y)dx + (3 – 2xy²)dy = 0

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Q: The Particular integral of the differential equation (Dª – 36)y = cos 6x is PI = cos 6x 1260 PI = z…

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Q: This differential equation can be solved by? dy dx What is the integrating factor of: y2 dx + xy dy…

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Q: Find the general solution of the second order differential equation dy dy 10 +24y 0 dar dr?

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Q: The integrating factor for the differential equation dy X- dx 4x cos(x)y = –5e* is e-4 sin(x) Select…

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Q: The differential equation (xy2 + y)dy = (x + 1)dx is separable. Select one: O True OFalse

A: We have to find

Q: dy -2 sin x where y (5 = JT dx

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Q: Consider the differential equation x¨(t) + x(t) = 5t2 − 2 cos 2t.  Write down the ansatz for xp…

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Q: Find the Particular integral for the given differential equation d²y dy -8 + 15y = cos5x dx2 dx (10…

A: d2ydx2-8dydx+15y=cos5x

Q: The particular integral(P.I.) of the differential equation (D² + 5²)y = 2 cos² x – 1 is_ cos2x 29…

A: Here we use the trigonometric properties. Also use the method of undetermined coefficients to solve…

Q: FIND THE GIVEN DIFFERENTIAL EQUATION Non Exact Eguation (xy + 1) dx tx (* + 4y - 2) dy - 0

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Q: The particular integral of the differential equation (D² + 2) (D + 4)y = 2 + sin² x + cos² æ is_ 8

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Q: The particular integral of the differential equation (D² + 2)(D+3)y=2+sin² x + cos? æ is 6

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Q: The differential equation (3ycosx+ 4.xe* +2x'e" dx+ 3(sin x+1)dy 0 is exact because OM ON Ox

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Q: The differential equation obtained by eliminating the arbitrary constants A and B from the relatio y…

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Q: Use separation of variables to find the general implicit solution to the differential equation. 9…

A: Given:       9 dydx=eysin2θysecθ

Q: The degree and order of the differential equation 1+ is = dy dz о 12, 1 O 1, 15 O 15, 1 O 3, 1

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Q: State the order of the given ordinary differential equation. dzy dx2 dy V 1 + dx

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Q: Find the Particular integral for the given differential equation d'y dy -8- dx dx + 15y cos5x

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Q: The particular integral(P.I.) of the differential equation (D² + 4?)y = 2 cos² æ – 1 is cost 12…

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Q: Find the differential equation by eliminating arbitrary constants "A" and "B" from the family of…

A: Formation of differential equation: As a rule, one requires n+1 relations to eliminate n quantities.…

Q: Find the differential equation by eliminating arbitrary constants "A" and "B" from the family of…

A: The given family of curves                    y=Acos12x+Bsin12x , where A and B are constants.

Q: Find the general solution of the differential equation: e- lt tan x - lx y' + 3y : Leave the answer…

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Q: Find the value of n that makes the differential equation xn (3x+4y)dx +(2xn+1 +2y)dy = 0 exact.…

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Q: Find the Particular integral of the given differential equation d²y dx2 3x dx +5y sin(Inx) %3D

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Q: (1+ )de + (1+ a?)dy = 0 %3D

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Q: What is the appropriate integrating factor to the ff. linear differential equation? dy +(1+xcotx) y…

A: Given that, The differential equation is following, xdydx+(1+xcotx)y-x=0 We have to find the…

Q: dy +2xy = e-* is The integrating factor of the differential equation

A: By using linear differential equations integrating factory  we can calculate..

Q: The Particular Integral of the differential equation (D² – 9)y = 6 cos 3x is PI = 6 sin 3x 18 O PI =…

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Q: dy 6 cos(nx) dx

A: Given differential equation is  yy' = 6 cos(πx)

Q: Solve the differential equation 2 dy dy 1+ dx dx2 assuming x > 0 and > 0. dy dx

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Q: Find the solution to the differential equation  dz/dt=7tez that passes through the origin. z=?

A: We have to find the solutions

Q: The particular integral of the differential equation (D+3)(D – 3)y = sec²x – tan?z is

A: Explanation of the solution is given below....

Q: What is the particular integral for the differential equationD-1)'y e +2x-3

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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.