(c) T1(T1(x)) = Ax -1 55 A = -22 54 (d) T2(T2(x)) = Ax A =

Q: For all numbers x: /x/ > 1/x . Which is the appropriate counterexample? a. 1 b. -2 c. 2 d. -1

A:

Q: 2.3 - Can you show the steps to solving this problem? Differentiate. (33) y = (t^3 + 3t)/(t^2 - 4t…

A: Please see the white board for the quotient rule of differentiation. In this case f(x) = f(t) =  t3…

Q: then fxy Q4: If f (x, y,z) = x²y³ – y²z3 %3D -

A: we have to find partial derivative

Q: 2) (D3 + 3D2 4D – 12) y = 0 (D) (E) (F)

A:

Q: Find the general solution  (D2 − 2D − 3)y = 0 when x = 0, y = 0, y′ = −4

A: The given equation is,D2-2D-3y=0with the initial condition,x=0, y=0, y'=-4

Q: determine L−1[F].

A:

Q: find general solution. dr/dt= -2tr,         r(0)=ro

A:

Q: S Sz(x² + y³)dxdy, wherein B = {(x, y) E R²; 0 < x² + y² <4}.

A: Double integral

Q: b) y =1+ f(z)=2x-2 O 1ks f-(z)=-1 O 2 34s (2)=2x-1

A: Step 1 Replace y with x and x with y  Step 2 Then solve for y in this equation  Step 3 Replace y…

Q: d?y 13 으18 + t6/3- t2 + 246 3 Find if y(t) - dt2 3

A:

Q: What is the general solution of the equation y '(t) = 3y - 12?

A: We first separate the variables

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

A:

Q: [1] Solve for the GS of (D4-5D³+9D²-7D+2)y=0

A: By Bartleby policy I have to solve only first one as these are unrelated problems.These are…

Q: Find d2y/dx2 in terms of x and y. x2 + y2 = 3

A:

Q: -(D² – 25) y = x e* . Using method of undetermined coefficients, what is y Consider A ' = Ax e* + B…

A:

Q: Solve second order DE y" - 4y' + 4 = 0

A:

Q: let x= et then by the chain rule d3x/dx3 equals

A:

Q: The y, of (D²+D)y=11 .A e¯X+11 .B 11 .C 11x .D does not exist

A: Given that  (D^2+D)y=11  To find the particular solution differential equation

Q: What is the solution of y2 - x2y'=0 with IVP y(1)=1/2 ?

A:

Q: 10. (D² – 2D – 3)y = 0 when x = 0, y = 0, y' = -4

A: To find the solution of the given differential equation .

Q: What is the general solution of the equation y '(t) = -4y + 6?

A:

Q: 2xyy' 1+ y2 What is the general solution?

A: The solution is given as

Q: The cost per day to society of an epidemic is C(x, y) = 40x + 230y where C is in dollars, x is the…

A:

Q: d²y x-9 Find for y dx2 = (3x² –2x+5)

A:

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

A:

Q: nd the general solution to: 2yy -e^ = 0, |

A: The question is taken from the calculus in which we have to find  the general solution of  given…

Q: Find the general solution using variation of parameters. - 4y + 4y = (x + 1)e²-

A: To solve the following problem

Q: e²–3¤ /1 – y² given that wher

A: Given that, dy/dx = e^(2 - 3x) . sqrt (1 - y^2) Then we get, dy/[sqrt (1 - y^2)] = e^(2 - 3x) dx…

Q: 2a V2ax 2ах f (x, у) dydx (a > 0) е. 2ах-х2

A:

Q: 23- y" - 2y + y = 0; y₁(t) = et, y₂(t) = tet

A: 23. Given y''-2y'+y=0   Also given y1t= et,  y2t=t et   To verify: the functions y1, y2 are…

Q: Find the general solution of y'' - 2y' - 8y = 24(x2+1)e4x by using VARIATION OF PARAMETERS

A:

Q: Find the particular solution y''-2y'-3y=0; when x=0, y=0, y'=-4

A: It is given that the differential equation  y''-2y'-3y=0,  y0=0 and y'(0)=-4     The given…

Q: y"- 5y + 4y ez.

A: Use second order ordinary differential equation rules

Q: Qs) y" + 3y' + 2y = e* – 3

A: See the details solution in below

Q: e general solution of y6) + 4y(4) + 3y" = 0 ?

A:

Q: Find f(t). 2s + 3 s2 + 4s + 13,

A:

Q: b. Solve y = -x³ + x² + x- 3 and y = x-3 using Substitution Method. I

A:

Q: A particle moves on a vertical line so that its coordinate at time t is y=t3 - 12t + 3 , t>0. When…

A: (b)        y = t3 -12t+3    y1 =3t2 - 12 = v(t) when particle moving up means v(t)&gt;0    3t2…

Q: 29. t²y" - 4ty' +6y=0, t>0; y₁(t) = t²

A:

Q: (D - 2D + 4)y = 0 ; y= - 2, Dy = 8, D²y = 0, when x = 0.

A:

Q: Is y = 1/(x + C) a solution to y' = -y^2?

A: To solve the following differential equation.

Q: The y, of (D²+D)y = 11 .A does not exist .B 11x .C 11 .D e +11

A:

Q: 4. (Dª + 2D³ – 6D² – 16D – 8)y = 0 - - - %3D

A: The given differential equation,     D4+2D3-6D2-16D-8y=0

Q: dy y2+1

A:

Q: (x = s² – t² y = s·t³ z = 2x – 5y,

A: See the attachment

Q: (D² + 4D + 4)y=0 when x = 0, y = 1 and y' = -1 What is the general solution?

A:

Q: g(x,y)= 4/4y-6x^2 {(x,y)|y doesn’t equal?

A: Given g(x,y)=44y-6x2 We need to find those values of y for which the function will not exist.

Q: + Vs + es +- ds n = 3 From left endpoint s² + 1

A:

Q: Q = - ST 8-x²-y² x² + y² y dz dx dy

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.