2. y + 3 = -5(x - 1)

Q: 24. y"+ 9y = 0; y(0) = 1, y'(0) = 1

A:

Q: L{tcos (-4t)} 16-s2 (s²+16)² s2+16 (s2–16)? - 16+s2 (s2-16)* s2-16 (s2+16)*

A:

Q: A = ëx + 3ểy – 2ẻ, B = 4ẽx – ểy Ĉ = -3ẽz – 5ẻ, Ả x =?

A: vector product

Q: Use the graph of y = f(x) to graph the given function g : g(x) = f(2x)

A: Given that g(x)=f(2x). This means f(x) shrunk horizontally by 1/2.

Q: 2x+4 %3D の 4 6. %3D 41-

A: Solution is given below:

Q: (а) х-аxis (b) у-ахis

A: Given that: The curves x = 3t , y = 5t  , 0≤t≤3 .

Q: 17 If y =-2x-x + 6, what is the value of y when r = -1 2/1

A:

Q: 5-y" 2y + 4y= 0; y(0) = 2, y(0) = 0

A:

Q: 6. If x = 2 and y =-3, what is the value of 2r-3ry-2y?

A: Given x=2 and y=-3We need to find the value of 2x2-3xy-2y2

Q: (4) y" - 3ry + Ay = 0; y(1) = 2. /(1) =1

A: Given that (4) x2y''-3xy'+4y=0,  y1=2 and y'1=1 The given equation is a homogeneous linear…

Q: 2 y+ 3 dy y + 5y + 6

A:

Q: with y(0) -1

A:

Q: 5 Find y' if y = 4 9x

A:

Q: dz = z2-25

A:

Q: 18. y = -- 2x - 4 7x +y 2 19. y = x + 6x x-y= 4 20. y = x + 4r – 15 y 25 x

A:

Q: y"=4y'+3y=20cosx

A: Since you have asked multiple question, we will solve the one question for you. If you want any…

Q: 3 22 + z + 4 dz z-1

A: To evaluate the integral :- I=∫2x2+x+4x-1 dx Substitute u = x+1dudx=1   ⇒ du = dx

Q: 14メナ2y=7 X-y=4

A: x + 2y = 7 ..... (i) x - y = 4 ...... (ii)   (i) - (ii) gives, (x+2y) - (x-y) = 7 - 4 So, 3y = 3 So,…

Q: ýt 29-ty-osinx

A:

Q: 2) 5nd• 4n°d 3) y y 4) h•h°•h° 5) kh°. 8k°h° • 7kh

A:

Q: 7) y"+4y+20y-23sint-15cost y(0)-0, y'(0)--1

A: We have to solve given problem:

Q: 19) y"- 4y'+5y= 0, y(0) = 1, y'(0) = 2.

A:

Q: 4) y – 4y = 8u(t – 3), y(0) = 2;

A:

Q: 2, y(t) = 4t – 6 y(t) = t - 5 5, y(t) = 4t (t) = 4t – 5

A: We have to choose the correct answer

Q: 20+y dy 20-y -20

A:

Q: _____18) Find y' if y= 6+x √4-x²

A:

Q: ー4 X+/ Y-2

A:

Q: Solve please

A:

Q: If x = 1 and y =-2, what is the value of -x- y

A:

Q: 4 Find L-1 (s-5)3,

A: According to inverse transform rule, If L-1{F(s)}=f(t) then L-1{F(s-a)}=eatf(t)

Q: +ay'- - 3X = 0

A:

Q: 3y +5 (5y-7)2 dy

A: We can find the integration as below.

Q: у" + 16у %3D0, yT4) -2y' (π/4) -1 =

A:

Q: ), y(0) = 4.6, y'(0) = - %3D

A:

Q: у' %— х — 4у, when x %3D 2,у 3 3 y' — х — 2усot 2x

A:

Q: 7) tan Z 29 Y 21 20

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: [a] -(-x)= x [b] (-x)y = -(xy) and (-xX- y)= xy

A: We use The fact that (-x)+x=0 and x*0=0

Q: 4y" +5y'+3y = 0, y(0) = -1, y' (0) = 1

A:

Q: π 9- y² dy y 2 π 6.

A:

Q: Evaluate 2y"+3y'-2y-te-2t ,y(0)=0, y'(0)=-2

A: answer is in next step. please give a like !!

Q: If y? – 3z = ry – 4, what is y+3 2y-z リ-3 2y-z y-3 0皇- || 业山由一在电一山 由一在

A: Given Data: Equation: y2-3x=xy-4 Simplify the equation. y2-3x=xy-4y2-xy=3x-4

Q: -3 8x°y² ' 12x'y* 6.,2 4 17m m m+5 5х-2 13 - x(x-7)

A: To find the LCD

Q: 1) y" – 10y' + 25y = 8e- y(0) = 1, y'(0) = -4;

A: Follow the steps.

Q: 1 b. s2+4s+9

A:

Q: 3) y=--x - 1 | 1 y =-x-4 4 Ay 5 4 3 -2 -2 -3 Answer:

A: follow the  next step

Q: 2) 2 dy +9 = 0, y(0) =-3

A:

Q: 3 y(x) = 1- -5 -4 -3 -2 -1 -1 -2- -3 + -4 -5+ 1 2 3 4 5 a

A: using graph,

Q: Solve for y. y  –  3 4  =  3 4

A:

Q: 2. Differentiate the following: (a) y = x²z

A: The given expression is: y=x2x   ...1   As we know the Product rule: f·g'=f'·g+f·g' The Power Law:…