Use the method of indeterminate coefficients to find the special integral of a differential equation d²y +82 + 16y = e-+ (t² + 5)e¯ dy dx -4t -4t dæ? add file 1

Q: The particular integral of the differential equation (D² + 3) (D+ 4)y = 3 + sin² x + cos² x is, 12 4…

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Q: The particular integral of the differential equation (D² + 5D+ 10)y = 7 is O 10 10 7 O 7 7 10

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: The particular integral of the differential equation(D +5)(D – 5)y= secx - tan?x is -1 -1 10 1 25 1…

A: Given differential equation is  D+5D-5y=sec2x-tan2x y=sec2x-tan2xD+5D-5 Particular integral of the…

Q: Use the method of reduction of order to find a second solution of th differential equation ty"-4ty'…

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Q: The Particular Integral for the Euler Cauchy Differential Equation d²y dx2 dy -3x +4y =x5 is given…

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Q: Find an integral representation for a general solution of the differential equation d'y dy dt +4 +…

A: Apply the method of variation of parameters, to find the particular solution of the second order…

Q: The particular integral of the differential equation (D² + 5D + 8)Y = 5 is O 5

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Q: The particular integral of the differential equation(D² + 2) (D+3)y = 2+sin+ cos z is 4656O663 6

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Q: Q1) Evaluate the value of the integral , e-5x In x² dx by using the Simpson's method, with n=6? اضف…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Verify the function z(x,y)= Vr sin 2 is a solution of the following partial differential equation…

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Q: The Particular Integral of the differential equation (D² + 8D + 9)y = 11e is O PI = e o PI=블er 11 O…

A: We have to find the Pl

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

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Q: Use the method of variation of parameters to find the complete solution of the following…

A: we have given d2ydx2+y=xsinxfirst we find C.Fm2+1=0m=±iy(x)=c1cosx+c2sinxu1=cosx,u2=sinxnow find…

Q: The Particular Integral of the differential equation (D4+ 8D² + 6)y = 18 sin 3a is O PI = 18 %3D PI…

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

Q: use the indicated substitutions and reduce th given equations to the bessel differential equation to…

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Q: 7. Which of the folowing differential equationsis ex act? a. y°e*dx + e*dy = 0 c. sin x sin ydx +…

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. Given: (a). y2exdx+exdy=0 So,…

Q: Use Frobenius method to find the solution in powers of x for the differential equation: xy'' + xy'…

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Q: The particular integral of the differential equation (D+5) (D – 5)y = tan x × cot x is_ %3D 1 -1 25…

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Q: rom an integral equation corresponding to the differential equation d²y dy dx² al conditions + X + y…

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Q: The particular integral of the differential equation (D² + 3)(D +5)y= 3+ sin z + cos² z is_ 8 15 O 6…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Solve the given integral equation or​ integro-differential equation for y(t).   y'(t)+125*…

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

A: The given differential equation is  (D+3)(D-3)y =  tan(x)cot(x) As tan(x) = sin(x) / cos(x) and…

Q: dy %3D 1 + x + and f(0) = 1, find the particular solution to the differential equation. - dx

A: Given,           dydx=1+x+x22 and f(0)=1

Q: Find the solution of the following Partial differential equation using Fourier transform. du %3D…

A: The Fourier transform of the function u(x) is represented as U(k) or F[u(x)], it is defined as…

Q: d*y dy a. Find the particular integral of differential equation +3 +2y = cos 2x +4– 2x. dx? dx

A: We have to find particular integral of given differential equation.

Q: Show that the points r = 0 and a =1 are regular singular points of the ordinary differential…

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Q: Reduce to first order and solve. (1 - x2 )y" - 2xy' + 2y = 0, y1 = x. Use : fp dx = In [1/(1- x²)] ,…

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Q: Consider the differential equation d?T 2xT = 0, - dx2 subject to the boundary conditions T(0) = 1 ו…

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Q: Solve the given integral equation or​ integro-differential equation for y(t).   y'(t)+(Integral…

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Q: Solve the integral or integro-differential equation. a) | y(t – z) cos z dz = sin t

A: Not:According  Given, ∫0tyt-zcoszdz=sint The given equation can be written as, yt×cost=sint

Q: Solve the given integral equation or integro-differential equation for y(t). t y(t) + 5e 5(t-V)y(v)…

A: We have to find value of y(t)

Q: Let o(x) = -t2 dt, x E R. e (i) e=t* dt = Y[o(b) –o(a)]. Show that a (ii) Show that the function y =…

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Q: Solve the given integral equation or integro-differential equation for y(t). y'(t)-6 t-v y(v) dv =t,…

A: The given integral differential equation  y't-6∫0tet-vyvdv=t can be written as y't-6etyt=t Applying…

Q: y" + 4y" + 9y' + 10y = e-dsind y"(0) = y'(0) = y(0) = 0 %3D

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

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Q: The particular integral of the differential equation(D+3)(D – 3)y = sec?z – tan²x is The particular…

A: We have to solve given problem:

Q: Find the particular integral of the differential equation d2y/dx2 +3dy/dx+2y = e^−2x(x+1)

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Q: -u"(x) = sin(x), u(0) 3D 0, и(т) —D1. и(т) — 1.

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Q: The particular integral of the differential equation(D + 3) (D – 3)y= tan ¤ x cot a is_ %3D -1 3

A: We have to solve given problem:

Q: Find the general integral of the following first order partial differential equations p+11lq =…

A: By Bartleby policy I have to solve only first one as these are all unrelated & lengthy…

Q: Solve the differential equation dr 4x In r dt Assume r, t > 0, and use the initial condition x(1) =…

A: Given differential equation: dxdt=4xlnxt. Also assume that x,t>0 and the initial condition is…

Q: Solve the differential equation by separating method dy = (3x? +1), dx (2y –1) given x =1 when y = 2…

A: Method of Separation of Variables (for First-order  ODE) : If the differential equation is of the…

Q: The Particular Integral of the differential equation (D + 36)y = 13 cos 6z is O PI = 13z sin &z O PI…

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Q: The substitution V= ax + by +c can be used to transform the differential equation (DE) dy/dx = In(ax…

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Q: The Particular Integral of the differential equation (D³ + 10D² + 7)y= 8x is PI = 7 8x 8x+x-3 O PI =…

A: Explanation of the answer is as follows

Q: Find the general solution to the separable differential equations. a) 2xy dy = 1 b) dx - Int1-x? ,…

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Q: Solve the given integral equation or integro-differential equation for y(t). y'(t) + - v)y(v) dv =…

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Q: Use the the method of reduction of order to find the second solution of the given differential…

A: Consider second order homogenous differential equation given by, y''+Pxy'+Qxy=0→1 General solution…

Q: dy Use integration to find the general solution to the differential equation: dx sec(y) %3D (x – 1)2

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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.