2. What is the solution to the following equation? (b+9)=D6+2 (b - 6) 3. O16 81 O 11 27 4.

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

A:

Q: 4. Solve; S×20y32 yトコ 7x+224 aメty

A:

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: Q5) solve using crammer's rule ? x y and 1 -1 13 2 y o 3. 2 -6 -4 1

A:

Q: What is the general solution to 3yy' – x² = 0 for æ > 0? O y = a3 + C2 O y = '음교3 + C2 9. O y = /žæ³…

A: using variable separation method,

Q: Select the equation that has the same solution as the equation below. 5(2-5) = 125 O 4(7s+11) = 256…

A: Given 52x-5=125To findequation that has same solution as the given equation

Q: 5) Find a general solution of the equation y" - 7y' +6y=3e³x. 11 - 7y! + by = 365x - Ar + 6 = 3e³z…

A:

Q: 5. Find the general solution of 2 z' --z = 3 2 A. 9z = cx? + 2x5 B. z = cx2 + 2x C. 2z = cx? + 9x5…

A:

Q: Q/ Find the general Solution of the diff- equ- x*y"+2xy-2y=D0 ? 1.

A:

Q: Show that y = 5x2 + 2 is a solution to the DE xy' +(2)/(5) y" = 2y.

A: To show: y=5 x2+2 is a solution of differential equation xy'+25y''=2y

Q: what is the general solution of y (1 + 3 ) y - ju? =D4+3x + Ce =D4+3x Ce* %3D 4 3x + Ce %3D y = 4…

A: We will find out the required solution.

Q: 1. Give the general solution of (D5 + 2D4 + 7D3 – 4D² – 26D + 20)y = 0

A: First I have find the roots of the auxiliary equation and then according to the roots find the…

Q: 32 + ar – 10x - br + c (r - 1)(r+2)2

A:

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

A:

Q: 1. Give the general solution of (D5 + 2D4 + 7D3 – 4D2 – 26D+20)y = 0 ="

A:

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

A:

Q: Obtain the general solution: 1. (D² + 6D + 9)y = 18e 3* -3x

A:

Q: (D² + 4D + 4)y=0 when x = 0, y = 1 and y = -1

A:

Q: Solve the inital value problem 2xy'+y=6x  for x is greater than 0 y(4)=26

A: Given:           2xy'+y=6x ;   x>0,  y(4)=26

Q: A. Obtained the general solution. 1. (D2 – 6D +9)y = e*

A: In this question we have to find the general solution.

Q: What is the particular solution for y′=6e^x+x^2−7x y(0)=6?

A:

Q: What is the solution of the DE: x²dy + y²dx = 0? A. x+y = cxy C. -=c x y B. D. None of A, B, or C -…

A:

Q: dz V(z2 - 8)5 21

A:

Q: Which of the following is a general solution to the DE y = 3x2 +5? A y=6x+C B y= x3 + C © y=3x²+ C D…

A:

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

A:

Q: Q/ Find the general Solution of the diff. equ- x*y"+2xy-2y=o ?

A:

Q: 1. Solve the following: 41 2 3 3 :- 2 4 (a) (b) 5t? – 20

A: The solution of given problem is given as follows :

Q: 5x 2 Evaluate: f²f3³xdz dy dx 0 2

A: Here is the solution:

Q: What is the particular solution if y(1)=D0? 1/2 xy = y+ (a² + y³)2

A:

Q: (D³ – 3D² + 9D+ 13)y= 0

A: Answer and explanation is given below..

Q: 5. а. ³(1 + t4)³ dt

A:

Q: What is a solution of the first order equation Y (K+1) = Y(K) +5 ? Ans: y(K) = 20+5k

A:

Q: What is the general solution of 3 (3x² + y°) dx - 2rydy = 0 ? O== c (9z2 + y?) = c (9z? - y°) = c…

A: Topic = Differential equation

Q: What is the equation? y 0. 3 8 3. 18 23 33 Oy=x+3 Oy 3x Oy= 5x - 3 Oy=5x +3

A: (8). GIVEN DATA : Values of x & y                           TO FIND : Equation of the given…

Q: d pair is a solution of 2x +4y < 9. (2, -4) c. (3, 1)

A:

Q: What is the solution to y' +2 = xy3? * +c a. b. = -x +c c. xy? = - +c d. xy = -x² + c e. None of the…

A:

Q: 17 What are all the solutions of the equation x³ = 4? 64 A) X= 1 B x= ± 1/1 cx = -1/1 D x = ±/1/1…

A: In given problem we have to find out cube root of (1/64) .

Q: Give the general solution of (D5 + 2D4 + 7D3 – 4D² – 26D + 20)y = 0

A:

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: (ii) d²y Cx²e2x is the particular solution of 2 dx2 - 4y = 3e2x. Ур

A:

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

A:

Q: S (s-3)(s-4)(s-12),

A: The given function is  F(s) =s(s-3)(s-4)(s-12) And we are asking to find the inverse Laplace…

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

A:

Q: III. Give the general solution of (D5 - 3D* + 8D2 – D- 5)y = 0

A:

Q: y" + 10y + 25y: 18e-5t t2 + 1 Yp =

A: Given : y" + 10y' + 25y = 18e-5t/(t²+1)

Q: Find the solution of: (D^2 −4)y=8e^2x−12

A: solution is given below

Q: 2. What value of m will the equation y = ema be the solution of the DE y" – 6y" + 11y' – 6y = 0? %3D

A: In this question, we need to find the values of m.

Q: 2) solve the IVP: (here=d 2 2++4 y ² - 4y + 4y = { [0" 2t -C +9 osts2 +32 y(0) = 4,4 (0) = -1

A: Given initial value problem y''-4y'+4y=e2t+40⩽t&lt;2-e2t+4t⩾2,y(0)=4,y'(0)=-1. The objective is to…