Find the general solution of y"-y'+6y = 0 O A. y = Ae + Ber O B. y = Ae 3* %3D + Bex O C. y = Ae* + Be* O D. y = Ae * + Be* O E. None of them

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Q: 7-9. Write the polynomial in factored form and then in standard form (multiply it out) with the…

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Q: Q4) A-Determine the particular solution of the equation y"-y=0 for yo-=0, yo'= -2

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Q: Find the solution of the given ODE a. 1 - 2 = Cx b. 1 + (-)² = Cx c. 1 - * = Cx y d. 1 + (-)² = Cx…

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Q: 5. z3 – 2iz2 + 4z – 5i = 0 →3u

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Q: 6) hln) = 2n-4 gln)%3Dn-2 Find ha) + g(n)

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Q: 7. what is the durivative oF q= arc cSc V1-3X %3D 3 Cz -Gx)I- 7 X 3. C2-6x)1-3x (-3x)-3x 3 C1- 3x)-3

A: First make it in simple trigonometric functions then diffrenciate it and just put all the given…

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Q: 3. y" = Vx3 4. у" + 16у %3Dsec(4x) — 3

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Q: 3) y`+y=xe*

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Q: The general solution of (D²+2D+1)(D²+4)y=0 is A y=(C,+C,x)e+C,cos2x + C ,sin2r B) none of the given…

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Q: y"+y' + (a) -5 x-b = 0, Xo = 2 is 5. (b)-3 (c)-2 d)-8 Q7) L(y") = a) s²L(y(x)) + sy(0) - y'(0) c)…

A: We have given the answer in the next step. Hope you understand that

Q: e the Cauchy problem y' = y cosx, y(0) = 1.

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Q: 9. Find the general solution of (D² – 2D+ 1)y= 6e*. A) y= (c, +c,x)e* + 3e™* B) y= (c, +c,x+ 3x² )e*…

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Q: -24 y"' + 4y" + 9y'+ 10y = when x = y = 0, y' = -4, y" = 10

A: y′′′ +4y′′ +9y′ +10y=−24e−x  Linear non−homogeneous differential equation with constant…

Q: 6) yỳ = ỳ(ỳ + 2)

A: We have to integrate

Q: r3 + y = Ty, then y = 32 3» ყ passos " 1 — 34 + ყ 3.72 O x - 3x² + y 3y² O 32 — y — 3g2 - lf

A: Given

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A: Given:xdydx-y=x2-y2

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Q: ese correct

A: 19) 9x3y2+15x2y-6x23x2 21) 12r3s5-18r2s2+3rs3rs 21) -10a3b2+25a2b5-5a2b-5a2b 24)…

Q: -Suppose-Z₁ =3+2i, z₂ =4−5i . Calculate-|6z₁ - 9z₂|

A: AnswerGiven complex numbers z1=3+2i and  z2​=4−5i, we want to calculate the modulus of the…

Q: Q1. Given that (1 2 3 4. M = 3 2 1 7 -8 a 12 2 -1 -1 b -5 4 a) Compute the determinant of M. b) Find…

A: (d) Here observe that r=(x,y,z)=t+1212, 7t-1212,  5t-1212 In order to find the partial derivative…

Q: Example 4: Solve y" + 7y' + 10y = 2x + 3e*. y" – 3y' - 4y = 2x2 - 3. iii) y" + 2y'-3y 7x-3x. iv) y"…

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Q: Evaluate this integral by using a substitution prior to integration by parts. 3 Sx√3-X 0 x dx

A: Given integral ∫03x3-xdx

Q: Find the general solution to the homogenous DE y'-16у' + 64у %3 0

A: The given homogeneous DE is y''-16y'+64y=0. The auxiliary equation is m2-16m+64=0.

Q: (2x² – 3y?)y =2xy is y^InlyPl + x° = Cy® , what is the value of b? If the general solution of O 1

A: This is linear homogeneous differential equations  Solve by put y=vx

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.