4. Find the 6th order homogeneous linear equation whose general solution is: y = C1 cos t + C2 sin t + C3 t cos 2t + C4 t sin t + C5 t? cos t + C6 t? sin t 5. Find the 6th order homogeneous linear equation whose general solution is: y = C1 + C2 t + C3 e2 cos t + C4 e2 sin t + c5 t e2t cos t + C6 te2 sin t

Q: : Solve the following linear equations by Cramer's rule: x+y+2z=1 2x-y-z=0 x +2y-z = 4

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Q: 2. If A = 1 + 3) - 2k and B = 41-2j + 4k find, (a) A dot B (b) Magnitude of A (c) Magnitude of B

A: Since you have asked multiple questions with multiple parts in a single request, we would be…

Q: 6. Use Cramer's rule to solve: x - 4y +z = 6 4x -y + 2z = -1 2x + 2y3z = -20

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Q: 2+j 1. = j(x +jy) x =? y =? 1-J

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: 1) S dx 9-x2 dx 2) J2y-2 x2Vx2 -2 3) dx 2 V1-x2 |3D

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Q: Find the solution using Variation of parameter. (D²1)y=e* + 1 1 y=C₁e* + C₂e-x+ 를xex ex-1 2 4 1 1 -X…

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Q: The initial concentration of phosphorous (C) in a waste water pond is 107 ppm, as against the…

A: (ii) Consider dCdt+0.06C=0⇒dCC=-0.06 dtIntegrating both sides we get⇒∫dCC=-0.06 ∫dt⇒log…

Q: (b) Show that general solution of the second-order difference equation: yk+2 - Gyk+1 + 8yr = 2+ 3.k²…

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Q: Find solutions of the following equations b 4. 22+ af af 5. у- af = 0 = 0 dt dy

A: We will use method of  characteristics to solve the 1st order given differential equation

Q: Find the (2x + 1)³ dx A. (2x + 1)2 +c (2x + 1)3 + c 8 С. (2x + 1)4 + c D. (2x + 1)* + c 4 B.

A: We have to find the indefinite integral of given function

Q: Solve the Cauchy euler equation 3x2+ 6x-6y = 3 + Inx d²y + 6x2-6y = 3 + lnx³ dx3

A: In the given question we have to solve the given Cauchy Euler equation. Method: the Cauchy Euler…

Q: Q1: Answer two only (A): Solve the following linear equations by Cramer's rule: x+y+2z=1 2x-y-z=0 x…

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Q: DETERMINE SOLUTION OF 1 x dy dx + y = x² + x (2x+3y-13) dx + 3x - 2y) dy = 0 DE

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Q: ay (1) t. yx)= Ca em*+ Co Xe (2) A) ac= 4 B) ac = 16

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Q: solve

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Q: A tank initially has 100 gallons of brine containing 5 lbs of salt. The mixture is kept well-mixed.…

A: A tank has initially 100 gallon of brine containing 5 lbs of salt and the mixture is kept…

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Q: Select all equations that are equivalent to a-6z 16. a + 6x 9 0 O b a + 6x +9 = 16 Oc a+6x + 9 = 25…

A: Solution:-Given equation,     x2+6x=16  —1let us see and solve each option given,a…

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Q: Re(ze²), where z = 2-3mi

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Q: Solve the following linear equation by Cramer's rule:- x+y+z=3 x + 2y + 2z = 4 x + 4y +9z = 6

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Q: The solution of the ODE: y' +y = x² +2 y=j ex*/5 (x² + 2)dx + C None is:- y.e/5-fe*/5 (x² + 2)dx +C…

A: Topic = Differential equation

Q: Solve the Cauchy euler equation d²y + 6x 2-6y = 3 + Inx3 dx x3 d3y 3x2 dx2 dy dx3

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Q: x + 1) ² − 4(x + 1) dx + 4y = 0. Given that y₁ = ²x is a solution; find the general solution. dy dx²…

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