Question The general solution for the Euler DE2y+ y = 0,x>0, is given by Oa y=qx?/2cos(nx) + c2x!/2sin( Inx). V3 e. None of these V3 Ocy=qxcos(inx) + -Inx) + C2xsin( Inx). O d. y= Cx1/2+ c2xInx. Ob.y=Gx-1/2cos(inx) + c2x¬1/2sin(nx) V3

Q: Which of the following u-substitution should be used in evaluating {(2³_x)[x(x³_2x)]³} dz?

A: Given integration ∫{ ( x3 - x )[ x( x3 - 2x )]3} dx

Q: Find the general solution to + 18y" + 81y = 243 + cos6t O y = c1cos18t + c2sin18t + t(c3 cos18t +…

A: The solution is given as

Q: Which of the following functions is the unique solution of the IBVP Ut=4uxx 0 0 u(0, t) = u(2n, t) =…

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Q: Given the following linear system of ODE: V₁' = 4y1+2V2 V₂' = 10/1-4/2 what is the type of the…

A:

Q: 8. Solve the following IBVP: U = u + sin(3nr), 00, u(0, t) = u(1, t) = 0, t20, u(r,0) = sin(72),…

A: Given ut=uxx+sin(3πx), 0<x<1, t>0u(0,t)=u(1,t)=0, t≥0,u(x,0)=sin(πx), 0≤x≤1

Q: Find L[e2t tsin(2t) + et+1 + et cos 2t] A)+ 28-4 s+2 (4-1)2 +4)a (+2)a +4 +2 B) 4-4 1-2 1-2 (-1)2…

A: Use the formulas below to calculate the Laplace transform.

Q: Find the general solution of x*yy = (y – 9)2. 3/2 2 a) +9 x? + 9 (1 + Cx)² b) Oy : c) Oy = CVx +I+9…

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Q: Which of the following is equivalent to ® / ² / du. A U B C -du, where u = x² - 16 2121/12/17/1/2 2x…

A: See this solution in below.

Q: * S[*****] = Yg = 1 + +x² + %3D + de 1 + x* + 24 3 1 + 24 3 오4 4 +x2 +x + T 24 3 4 24

A:

Q: For the model y = Bo + B₁X₁ + B₂X₂ + ε, instead of coding the indicator for X₂ as (1,0), the analyst…

A: Given model is y=β0+β1X1+β2X2+ε Previous indicator of X2 is 1,0. New indicator of X2 is 0,1.

Q: y' = xy³ (1 + x²)¯½¡y(0) = 1

A:

Q: H.W: Solve the following DE :

A: Solve the linear differential equation

Q: evaluate using the appropriate method or combination of methods.

A:

Q: The general solution for the DE -v=2e3x is given by e. None of these 3 O a y= Ce*+C2e*+ 4 Od…

A:

Q: 2x² +10x+9 dx = ? x.(x+3) integralinin eşiti aşağıdakilerden hangisidir? X B) In x+3 A) In(x² +3x)…

A: Consider F(x) = 2x2+10x+9x(x+3)2 We will solve it by partial fraction Let Ax+3+B(x+3)2+Cx =…

Q: 5. Solve: (1 + + In x + dæ = (1 – In x) dy

A:

Q: 3. find the Lem and hef of 12,15 andh 2kyapplying the pacene factoce. eatial mothod 2x 2x 3 3 X5 2…

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Q: 18 In(z – 3) Question 10) Find I = -dz, where C = Iz - 2 + 4i| = 4, Ccw z2 + (4 + 4i)z + 3+ 4i

A:

Q: use the jacobi method to ding approximate solution for x+6y-8z=-6.6 10x-3y+6z=8.6 x+15y-9z=0.8

A: Given x+6y-8z=-6.6           10x-3y+6z=8.6            x+15y-92=0.8 To find: The solution of system…

Q: 2. xp- X2 a. b. + C с. + C d. None of the above dx 3. x(1+x) In xin (1+x")+C b. xarctan (1+x')+C a.…

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

Q: ¹fp=i − 2j+k‚q=2i −3+ kandr = 3 - 2k, determine each of j+ j the following: px q • (2-0) × (+7) Р q…

A:

Q: Fulafe the inkegal 7 where Cis the chrele l2-Jilc4 toaverse! anticlockwise: State clearly which…

A:

Q: By using the substitution u = 4x + 1, evaluate (4x+1) dx 1 x²+x+k 4 4x2 + x + k 1 x' + x + k (4x +…

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Q: Find the solution of z'y" + bay + (4 + 4r)y - 0, z > 0 of the form where co 1 Enter n1,2,3,...

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Q: (2 2" (2"-1)a - 3 If A = then A" = Éro* +1) = -m(n + 1)(a° +n+2) 4 5 Ertr-1)=,n(n² - 1(3n + 2) 12…

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

Q: Obtain the General Solution of: (z + 2)* cos yudz - [sin y In(3z 4 6) – d

A:

Q: 6. Find a line parallel to 3x - 2y = - 4 and passes through (4,-2)

A: We know if lines are parallel then slopes are equal  Given line equation is 3x-2y=-4

Q: Find the general solution to the non-homogeneous second order ODE. y" - 3y + 2y = 23x² O a. Aex +…

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Q: Express the rate of inflation from 1985 to 2015 as a percent correct to two decimal places. Year…

A: To find - Express the rate of inflation from 1985 to 2015 as a percent correct to two decimal…