Given that p (n) = 4n² + 4n – 6 and q (n) = n² – 5n + 8, find (p - q) (3). %3D %3D O 26 O 38 O 40

Q: Q2. Solve the Bernoulli IVP, 1 x²y/ – 2xy = 3y*, y(1) = 2°

A: Solution of the differential equation

Q: Q2. Solve the Bernoulli IVP, x²y – 2xy = 3y*, y(1)

A:

Q: Q6. Find general solution of the DE 4x²y" + 8xy' + y = 0

A: This is Cauchy- Euler equation. We can solve this equation as follows :

Q: 4. Obtain the general solution. y"-4y'+4 y=3e²*

A: for the solution we have equation y" - 4y' + 4y = 3e2x so now characteristic equation of this is...…

Q: Find a particular solution of (9) y′′−3y′−4y=3e2t.

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Q: Q2 Find the general solution of y" + 5y' +6y = 4e +5sin .x.

A:

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

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Q: Specifically a differential equations problem. Question in pic below.

A: Here, y’’ +2y=-8x

Q: Solve the equation using Reduction of Order (D² - 5D + 6) y = 2e* Oy=e+c₁e²x + 2c₂e³x Oy = √² + ₁³x…

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Q: What is the product solution of the PDE ax = 0 ? ay a. Ae*+y b. Ae*-y c. Ae(x+y)k

A:

Q: d³y d²y, dy 4- + + 26 = x3 – 3 dx3 dx² dx

A: given differential equation isd3ydx3-4d2ydx2+dydx+26=x3-3for complemantry solution of given…

Q: Yp = x³ is a particular solution of y" – 3y' = -9x² + 6x %3D Select one: True False

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Q: Which of the following is not a solution to d'y dr2 4y +1

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Q: Find the general solution of x2y′′+ 10xy′+ 8y = x2 on (0,∞).

A:

Q: Find The valu eo of a and b :for: Fcr): X-2 7 7X d! ax²-bx+3 if 2<x<3 2x -a +b if x3

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Q: y(4) + 3y" + 2y = 0

A: The given differential equation is y(4) + 3y'' + 2y = 0

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

A:

Q: 2. Find the general solution of d'y d'y + 12 dr Sy 21e dr

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Q: Show that the solution of T(n)=T(n– 1) +n is 0(n²). Do not

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Q: The general solution of the s.o.d.e y"-4y'+13=O is

A:

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

A:

Q: Find the general solution of EonC(2)'y/n-1),

A: ∑i=0nnCi(2)iy(n-i)

Q: What is the particular solution of (2ay? + 3x?) dæ + (2æ²y + 4y³dy ) dy when 2 and y 1 O x? y? + x³…

A:

Q: The general solution of y" -3y'- 4y = 0 is |3D Select one: O a. Ae4z + Be * O b. Ae 4z + Be O c. Ae…

A: Write the characteristics equation of this differential equation. Use the characteristics equation…

Q: 5(a) Find the General solution of the Diffe -3x (D² + 6D + 5)y = e 3" (1 – 2sin²x) ||

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

Q: 3. PDE r + a²t = 0, has the solution :

A: A partial differential equation is given as r+a2t=0. The objective is to find the solution of the…

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: Find the general solution Ans. y=(C1+C2x)eX+e*

A:

Q: Q19) The general solution of 2x²y" + 3xy' - 15y = 0, is: a) y(x) = = ₁x² + ₂x³ b) y(x) = c₁x + ₂x-3…

A: As per our company guidelines, we are supposed to answer only the first question. Kindly re-post the…

Q: Find general solution of the difference equation Yn+2 + 6yn+1+9yn = n 2" +7, by method of…

A: Given:  The given difference equation yn+2+6yn+1+9yn=n2n+7

Q: Find the general solution of the following 8. (4D² – 6D + 1)y = 0 %3D -

A:

Q: Q6. Find general solution of the DE 4x²y" + 8ry' + y = 0

A: We need to find the general solution of the given differential equation. The general solution of the…

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

A:

Q: Provide general solution of the given ay'' + by' + cy = 0and b^2 - 4ac &lt; 0

A: Solution: Consider the given differential equation is ay'' + by' + c y = 0 or aD2+bD+cy = 0   where…

Q: 9. (D2 - 2D +5)²y = 0 %3D

A:

Q: Find a particular solution for: y" + 4y = 4cos(2t)

A: We need to find the particular solution of the given differential equation which is y'' + 4y = 4…

Q: find the general solution of y''+2y'-3y=(5x^2-7)e^-x

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Q: Find a particular solution of (11) y′′−3y′−4y=2sint.

A:

Q: Find the general solution of the following: 6. (4D² – 4D + 1)y = 0 %3| -

A: Please refer the attached image for complete solution. THANK YOU.

Q: The particular solution Yp for the DE (D2-5D-6)y=-6x2-10x-4 is A Yp =x2+2x-1 Yp =x? +3x+1 Yp =x?…

A:

Q: What is the product solution of the PDE-= 0? Bxe ay a Ae*+y b. Ae y C. Ae+y)* d. Aex-y)* e. None of…

A: We have to solve given problem:

Q: Find the general solution of (D^3- 4D)y = 0 when x = 0, y = 0, y' = 0, y'' = 2

A:

Q: 2y" — 12" + 4у' + 72у %3D 0

A: Given ode is homogenous. We will find root of this ode then we write solution.

Q: Find the general solution to the DE y"-6y'+9y=t2e3t

A:

Q: Find general solution of the DE 4x2y′′ + 8xy′ + y = 0

A: Consider the given equation. 4x2y''+8xy'+y=0 Let substitute the value is y=xm. Now, find the…

Q: Obtain the general solution of the Select one: О а. ехp(x) 3 су (х + 2) O b. exp{x} = y (x + 2)^2

A: Given: xy dx-x+2dx=0

Q: y" - 4y' =t+ 3cost + e -2t

A:

Q: Find the general solution xy" +5x²y" + 7xy + 8y=D0

A:

Q: Solve the following ODF y+y 2y 2 e2x

A: We have to solve the differential equation.

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.