For which value of b is the equation 2n+1 3n 19 satisfied, 4 4n+1 n= 1 where b>2 ?

Q: z= 16 is a solution to the equation 8z = 2. O True O False

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Q: Find the general solution of the following: 1. (4D? – 4D + 1)y = 0 3. (4D? – 6D + 1)y = 0

A: Given 1. 4D2-4D+1y=02. 4D2-6D+1y=0

Q: Q2\ Solve the following 2y + 3y' – 2y = te-2t y(0)=0 and y'(0)=-2

A: Please see the explanation below

Q: 7) Given the equations: X = 10 + 2t2 and X= 100 + 3t – 4t² find all solutions for x and t.

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Q: For which values of xo and yo are we guaranteed one and only one solution?

A: Given: y'=-y-4+1x-8 Note that if y=y0=4 then y-4=0. For all other values of y0 given in the options,…

Q: Solve the following by substitution method 2r + 4y = 1 3r + 5y = -2 %3D

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Q: Which of the following is solution of (p - xy)(p – x²)(p – y²) = 0 (a) 3x - y3 - c = 0 b) xy + cy +…

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Q: Find the general solution of the following: 11.(D² – 2D + 5)y = 0

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Q: Find all the solutions of + 1z10 + 122 +...+11 = 0 to: Hint: What happens when you multiply the…

A: We will find out the required roots.

Q: Q1: find the complete solution of the following: 1. y" + 4y' + 4y = x2 e-2x

A: Given equation- y''+4y'+4y=e-2xx2 Auxiliary equation- m2+4m+4=0m+22=0m=-2,-2

Q: Q5. Use the method of undetermined coefficients to solve (a) y" + 2y + y = x²e-". (b) у" — 2у + 5у 3…

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Q: Which of the following is the best form (no redurdant terms) of the particular solution when using…

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Q: (d). Use the Secant method to find solutions accurate within 10-5 for et +2+2cosx-6=0 for [1,2].

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Q: a) Solve for x in the equation, 3*+5 = 7* , giving your answer to 2 decimal places. b) Express (7 –…

A: Hello, thanks for your question but according to our policy I am answering the first three subparts.…

Q: Q1/ find the solution to + (1-4h?)y-ein(2n) -0 %3D y(0) = 0.2.

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Q: Q2\ Solve the following 2y +3y'- 2y = te-2t y(0)=0 and y'(0)=2 %3D |

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Q: (4D* – 4D³ – 23D² +12D+ 36)y = 0

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Q: Find the general solution of the following 14.(D² – D + 1)y = 0

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Q: Which of the following is a solution to y" – 6x = 2? a. y = x3 b. y = x c. y = x3 + x? с. d. All of…

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Q: Find the general solution of the following: 10.(36D² – 12D + 1)y = 0 %3D

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Q: B) Use ers to nnd the general solution y and the partic Ур- e 26. y"+ 2y' +y V1 – x² II

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Q: r²y" + 3ry' + y = In(z)+1 z((In(z))²+1)

A: The given differential equation x2y''+3xy'+y=ln(x)+1x((ln(x))2+1) is a homogeneous linear equation.…

Q: Show that п-2 Ag:1 = E :uk+'4æ + v"n-1Px• k=0

A: Given  Ax:n=∑k=0n-2vk+1qxk\+vnpxn-1

Q: Find the general solution of the following: 7. (D³ – 4D² + 4D)y = 0

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Q: Find all the solutions of 211 + 1z10 + 1²zº + .+1" = 0 ... to Hint: What happens when you multiply…

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Q: Find the general solution of the following 17. (D² + 49)²y = 0

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Q: 3 Find the general solution of i = Ax, where A = -8-

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Q: Q2 :Given that the equation x² – kx + 8 = 0 where k ER has one of the solutions is %3D x = 2 - j2.…

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Q: Solve the given DE using 3 possible solutions: x³-2y³ 3.xy-2 ||

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Q: Q3/ find the general solution of the following PDE yzx – xz, + x2 –- y? = 0

A: The given PDE can be written as  yzx-xzy=y2-x2

Q: 4. Obtain the general solution alo? - y? - ») dk - y(x? - y?) ay = 2 = 0 |

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Q: Q2] Assume a proper values for the equation: Ax²y" + Bxy' + Cx²y – 25y = 0 Then find the value of…

A: Given differential equation is Ax2y''+Bxy'+cx2y-25y =0Let us take A =1 , B = 1 & C=0we…

Q: Find a general solution to the DE (D^2 + D- 6) y = 5e^2t by: a. Undetermined coefficients b.…

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Q: The particular solution of xyy' = (x² + y²) when x = 1, y = 2 is a. y2 = x² In x² + 4x² b. y2 = x In…

A: Given:- xyy'=(x2+y2)  To find:- Particular solution of given differential equation when x=1 and y=2

Q: Q5: Solve the given DE by means of the substitution x = et x?y" – 3xy' + 13y = 4 + 3x

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Q: Find the general solution of the following 1. (D² – D – 2)y = 0 %3D

A: To find- Find the general solution of the following: D2 - D - 2y = 0

Q: se undetermined coefficients to find the particular solution to "- 4y' + 2y = 4t + 7 (t) =

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Q: What is the solution to the equation? 11n (7 + 26) = In (x² – 16) – In (z + 4) -

A: Given that: 12ln(x+26)=ln(x2-16)-ln(x+4)

Q: Which of the following is the solution of the equation: п n + 4 n2 + 6n + 8 n + 5 2n + 10 2n2 + 10n…

A: Given: nn+5=n+42n+10+n2+6n+82n2+10n

Q: positive value of m for which mx – b/1+ m² is a common cangent to x2 + y? 6² and (x – a)² + y² = b²,…

A: introduction :

Q: Find the general solution of the following 13. (D² – 2D + 2)y = 0

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Q: Which of the following is true for the equation 5 - 3 (2r – 7) = 2 (7 – 3æ)? %3D AT=0 B)x = 28 CThe…

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Q: 3. Use variation of parameters to find a general solution, for x > 0, of x*y" – 3x?y" + 6xy/ – 6y =…

A: The given differential equation is; x3y"' - 3x2y" + 6xy' - 6y = x2

Q: Solve for : 6 6 х — 20 20 (no fractions) (in the form ax? + bx + c = 0 ) x = (type: "x=? is not…

A: Explained below

Q: For which values of a does ax = 1 have a solution inZ6?

A: Z5=0,1,2,3,4,5ax=1If a=0, then 0x=1⇒ No solution.If a=1, then 1x=1⇒One solution,x=1

Q: 1. Solve the following: |x - |X-4| (a) , 2 3 -- (x – 3) < 1 <1 (c) 3 (d) 6z – 9 – z? < 0 (e) 3t?…

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