3(B - f)î – B A(F) = r3

Q: (D4 + 3D3 – 6D² – 28D – 24)y = 0 (D3 + 3D2 + 3D + 2)y = 0 -

A: 2) (D3+3D2+3D+2)y=0 The auxiliary equation is…

Q: 3. (D3-2D2+D-2) y=0 4. (4D3+28D²+61D+37) y=0

A:

Q: %3D x2+7 X2 +7 to flx1-メ= LtzX as xI oc ニ I + 7/x?

A:

Q: F .2 .2 x- +y at A=(2, 3), B=(-2, 2) and C=(3, -4).

A: 1.) div F at A(2,3) = <4,6>2.) div F at B(-2,2) = <-4,4>3.) div F at C(3,-4) =…

Q: 4. (D² +D-1)² y =0 ,when x= y = 0, y' = y" =1, y" = -1

A:

Q: (x-h)² , (y-k)² ルーん =1 a² b²

A: We have to determine the graph of given equation.

Q: Q1/ Determine 2s2+3s-4 1. F(s) = (s-2)(s²+2s+2) 1 2. F(s) = 3(s²+1)

A: To Determine :-  1. F s = 2s2 + 3s - 4 s -2   s2 + 2s + 2 2. F s = 1s  s2 + 1

Q: 3 2(x-1) + If y = Vx? – 2x then y' 3Vx2-2x F

A: It is an important part of statistics. It is widely used.

Q: (D³ + 4D² + 9D + 10)y - 24 e*; when x = 0, y = 0, y' = -4, y" = 10. %3D

A:

Q: (z+)* - 8(-V3+i)*i (z + i)* – 3D 16

A:

Q: 4. (D² – D – 6)y = 0; when x = 0, y = 3, y' = -1 %3D

A: Use this auxiliary equation and complementary function

Q: f(s) -3s² – 5 %D S f(s) -2 -1

A:

Q: c. The f'(3) for y = v3x² + 9

A: c)y=3x2+9

Q: 2 d2 ; C:Z10)=3e ;osOs下

A: we will evaluate this integral by using parameterization since we have given a function in z and…

Q: (i) (D² – 4D+ 13) y=e2r 4x (ii) (D² + 16) y=e*

A:

Q: 2 2X-) dy tf2 るメー。 2. Y+2

A: We have to solve the given differential equation.

Q: C-1 s2 + 4s + 5,

A:

Q: 2s (s² + 1)² 3) Find L¹ 40 by using the convolution theorem.

A:

Q: Fin (x ¯+y¯) 2 x+y?

A:

Q: Solve using matrices:

A: Consider the provided equation, 2x-y-2z=-1x-2y-z=1x+y+z=1 Solve the provided matrix by using matrix.…

Q: 3z+5z? Find the residues of f(z) (2z²–4)3*

A:

Q: (z – 4ŋ³ at = 3 + 4i

A: Answer

Q: (D³ – D)y = 4e * + 3e2* %3D y" = (-Axe* + 3Ae*) + 8BE2* %3D

A:

Q: f(x, у) %3D 9х — 2у + 8

A:

Q: 9. (D²+4D+5)y-35ex:y(0) --3, y'(0) - 1

A:

Q: (e) [ . 16- 16–z²-y² 1 (c) dzdydr (x² + y² + z²)³/2

A:

Q: Use Cramer’s Rule to solve the system.

A: Consider the given system of equations. D=1-12231-1-13 D=133-1-1-(-1)23-1-1+22-1-3-1D=110+17+21D=19…

Q: (s-2) F(s) = [+ %3D (s-2)2 + 16

A:

Q: 2r2-12r+18=o 2x+12x+21=O 2. yL+2x-Y=D

A:

Q: (D² – 3D + 2) y = 16 a. y = cj eª + c2e2 + 8 b. y = c1e¬# + c2e2« + 5 c. y = cieš + c2e² + 10

A:

Q: 8. (2D3 – D² + 36D – 18)y = 0; when x = 0, y = 0, y' = 2, y" = 4 %3D %3D

A: Solution

Q: 1 Ha² – D² - 2D+3 dr² - 3)e"} D² – 2D+3

A:

Q: (D3 – 3D2 + 9D + 13)y = 0 sle plel Ja

A: The given differential equation is ;                    D3-3D2+9D+13y = 0 We have to find the…

Q: Use Cramer’s Rule to solve the system.

A: Cramer's Rule: x+y+z=0............(1) 2x-y+z=-1.........(2) -x+3y-z=-8.......(3)

Q: just question (b) please have gotten up to y=e^-x3 +c

A: Given, dydx=2x4x2-1

Q: (D3+ 4D²+9D + 10) y= - 24e* when x=0, y=0, y'= - 4, y''=10

A:

Q: (D³ + 7D² + 19D + 13)y = 0 when x = 0,y = 0,y' = 2,y" = -12 %3D %3D

A:

Q: using x and y 6.) -2x+ y=D1 6.

A:

Q: (D² – 8D + 16)y = 4e¬v2t, y(0) = -1, y'(0) = 3;

A:

Q: d. s2 + 7s + 10 e. q2 - 7q + 12 f. r2 + 13r + 12

A: topic - quadratic equations

Q: 3. (D² – 3D + 2) y = 2x³ – 9x² + 6x

A:

Q: 6. (D5 – 16D³)y = 0 7. (D² – 2D + 5)y = 0 - -

A: First I have written the auxiliary equation of given differential equation and then find its root…

Q: G :392 (y+8)² = 23(x– 4)² C, :2y=-5+2/2x C; :4y=-15x+28

A:

Q: 2. (D³ +5D² + 6D)y=24e -3x. Use two methods.

A: Here solving given DE (2) in two different method.If you want anything else kindly repost the…

Q: I. Perform the indicated operatic Z₁ =3e7 a) Z₁Z₂

A:

Q: 2- 5s b) F(s)= (s – 6)(s² +11)

A:

Q: (4) y" – 3y +2y = 1+e² %3D

A:

Q: 4. (D² +D-1)²y = 0 ,when x= y = 0 , y' = y" = 1, y" = -1

A:

Q: 3s F(s) = s2 – s – 6 s - 6

A:

Q: f (x, y) = 3x² + y³ + 4xy² + 8 What is the value of df (x, y) dy when x = 2 and y = 5?

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.