(а) 10 -18 10 (x – A)? (y – C)? B2 D2 where A = where B = where C = where D =

Q: (D² – 1) y = 8xe" a. y = c1e¯ª + e* (c2 + 2æ – x²) b. y = c1e-® + e (c2 – 2x + 2x²) С. у C. y =…

A: We have to find which of the following option is correct for the given differential equation…

Q: (D³ – 3D + 2)y = -7 5.

A: Solve the following

Q: 1 4 9 16 3'9'27'81 Find the explicit formula for sequences of the form a1, a2, a3... with the…

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

Q: a² f If f(x, у)— 3х'у +9х, then дхду a. 6x? b. 9x? c. 9x²y С. d. бx? +9

A: Evaluate the given differential of the function f(x, y) = 3x3y +9x   Find the d2 f/dxdy

Q: Evaluate L[u(t-2)-(t-2)³} a. e-2s/s4 b. 6e-2s c. 6e-2s/s4 d. 6e²s/s

A:

Q: 10. (D² – 6D + 9)y = e3x

A: Given, D2-6D+9y=e3x To solve the above differential equation.

Q: 4. (D4 +16) y = 0

A:

Q: (x-2)² + (y+1)² =16, find- A. 16 (y+1)³ d²y dx² B. 16 (y +1)³ C. 16 y³ D. 16(x-2)² (y+1)³

A:

Q: pV9-(In x)? dx = %3D e-3 Select one: a. TC 2. b. C. 3T

A: option A is correct

Q: (1 –2²)dz

A:

Q: C.CC-3yz)dxdydz n=2 2. Evaluate

A:

Q: 2. - q + (q Ap) ~q (q p) T F F T F F 2

A: We have to find the truth table for given statement.

Q: 7. (D² + D²)z = a²y²

A:

Q: 3) + 2x³y = y³x3 dau

A:

Q: 4 1+ w ? + jw6

A:

Q: - 9x²y² = 3x²(1 – 3y²) + 3y dx3

A:

Q: (#10) S V4x2+9 dx x4

A:

Q: 0 (D2- D2) z ='x + y (D D') z = x + 2y

A:

Q: x2 dx Lo (x2+3)²

A:

Q: = -21e 2 C D +4 D +9D t1o)y 4. /f x-O -4 l 10

A: To sove the initial value problem for y=y(x)

Q: J(2m-a)(√m² - am - a² dm

A: The given integral ∫2m-am2-am-a2dm. We have to find the integral value.

Q: •5 | Vx2 – 9 dx 3

A: Integral formulae: ∫x2-a2=x2x2-a2-a22lnx+x2-a2+C Given integral is: I=∫35x2-9dx Comparing given…

Q: // (3x + 4y)dA where Find D D = {(x, y) | x² + y² 0}

A: Given f(x,y) = 3x+4ydA =dxdyarea bounded by the region x2+y2≤4,x≥0. It is a semicircle in the left…

Q: Pind Parckial Fraction S+ 2un

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 2(14 – 2)² dx = (14 – x)² dx %3D

A: ∫ x1314-x2dx=∫ 196x13-28x43+x73dx=∫ 196x13dx-∫ 28x43dx+∫ x73dx=147x43-12x73+310x103Add a…

Q: Consider APOR in the figure below. The perpendicular bisectors of its sides are SV, TV, and UV. They…

A: Given, △PQR and the perpendicular bisectors of its are sv, TV and UV. and      UV=48      PS =62…

Q: -3 12 dx /5x+1

A: Basic rules of integration are required.

Q: Find с dz 23 (2+4) > where C: 13+21=3.

A:

Q: 2. ydx + (3x – xy + 2)dy = 0

A:

Q: д 2 у б (24)2+ Ady

A: Note: Since, the student has made a typing error in writing the integral ∫012y2y2+1 dy, it should be…

Q: dy If dz 3x - 3 and y(0) = 8, then y(1) %3D ---

A:

Q: 2x +1 (ii) Sa. dx . 6x² + x – 15 (ii) J

A: We first factor the denominator

Q: e2y (е) dy |19+ edy)

A:

Q: 31 du + 2p (d) + (P²72²)=0 [AA: Y = EPK (C₁ Coqque С2 Sінан]

A: The given problem is to solve the given homogeneous linear differential equation. Given differential…

Q: Q2(a). Evaluate 1 t4+9 dt 0 t4+9t2

A: solution is given below

Q: Let y = (7x + 10). -5 Then B dy 10 (7 - 10 D = A /x + where xp A = B = C = D =

A:

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.