Question 8 The general solution for the DE -5y +6y= ex, is given by Ocy=e2x+ Cze 1 3x 4x 4 O b. y = Ce2x+ C2ex + 8. O a y=6,e2x + Czex +e* 1 + C2e3x + O e. None of these O d. y= C; e2x + Cze³x +

Q: Since u = x³ + 28, then converting back to an expression in x we get the following. 2 + C X

A: we need to write the expression in terms of x.

Q: Which of the following is equivalent to (13a b)²a*? 3 A 1362 169a b2 13a b? 169a20b2 169a b

A:

Q: 1 Evaluate dx. - 9x In(7e® + 1) 9x 1 -dx = In(|7+ e– 9æ|) + C 7+e-9x 7. 9

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Q: Jx sin 8xdx is O a. -xcos 8x sin 8x + 64 O b. - xcos 8x sin 8x 8 64 O C. xcos 8x sin 8x 8 +c 64 O d.…

A: ∫x sin8x dx On integrating by parts, we get ∫x sin8x dx=x·∫sin8x dx-∫dxdx·∫sin8x dx…

Q: 1+ 8(t-2) = Select one: O uz(t) o 5(t - 2) O 1 2u2(t) none

A:

Q: If y = (3 + 2x), what is y"? 00 48(3 + 2)2 © 12(3+2r)? O24(3 + 2)²

A:

Q: * 5.8x √4x²+5 dx 2(4x²+5)³/2 A. +C 3 O A. OB. O C. * 6. f 35x-1 A. 35x-1 In 3 O A B 5x-1 dx C + C…

A:

Q: Question 8 12x +1 dx. (2x- 1) (3x+2) Evaluate: 1 A (2x- 1) (3x+2)? %3D B) In (2x- 1)? (3x+2)| + C…

A:

Q: 1 πα (m2 + 3) V (m2 + 1) + 4 dx 6

A: Given data : ∫121πxx2+3x2+12+46dx

Q: 1) Let 1 = f²f²e-³x-2y dydx. Then / = e-12-26-41 b. +2e-*- 3 d. None of the above

A:

Q: Instructions: Evaluate the following notation if X1 = 4 X2 2 X3 = 10 X = 5 Xs = 7 X3 = 10 X4 = 5 Y1…

A: ∑i=15(xi2+yi2)

Q: 3 0 ³√²₂x³e¹³ dyd- 923

A: ∫03∫x29x3ey3dydx Clearly to solve it integrating 'y' first is hard nut to crack, lets change the…

Q: 6e2x 1-etx Select one: -dx = O a. 6sin ¹e²x + C O b. In√√1-e4x + C 3sin-¹e2x + C O c. O d. 3√1-e+x+C

A: We need to find out the integration."Note that as per the rules, when the multiple questions are…

Q: D at+ 12 a10=60 an all

A: Given that: a1=12, a10=60 To find: an, and a11

Q: Choose the right answer Given A =2x i- 42 j- 3xy k B = 2x i- 2zj (find A.B, AxB, div (A), div (B

A:

Q: dx x²√4x² √ a. C. √4x² 4x √4+x² X + C + C e. None of the above. b. O d. 4x √4x² X √4+x² + C +C

A:

Q: 6x -dx Which of the following is equivalent to (5-x) 2 after appropriate algebraic substitution is…

A: Use the method of substitution to solve a given problem.

Q: Evaluate [R(5xy + z²)dV, where B = [-10, 10] × [0, 1] × [0, 10]

A:

Q: 21 14x + x4 Evaluate 16 dx - O 7a? + 7 x3 – 16x + C, Where C is the parameter O 7x? – 7 x-3 16x + C,…

A: As we know that: The sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 Given:…

Q: Integrate the given expression. |(4x? – 7x) dx A 7 2+C X 2 3. 7 X + C 2 В C none of these D x 3 + C…

A:

Q: 5. a. b. C. [1 2 ^= -√²-14 31²-432 B = = L2 0 Given A = 0 Find AB + (C-2A¹) T. Find the values of x,…

A: To solve the matrix. As per our guidelines we are supposed to answer?️ only one question. Kindly…

Q: Let æ² + 32 + 22 = ? 3ayz, then which of the following is 3yz-20 2x-30y a. 3oy-2y 2x-3oy Ob. 2y-3oy…

A:

Q: 11. -a? - 2bc - Icl if a = -2, b = 3, and c = -3

A: Solution:

Q: III. Eliminate the AC 8. до Gex + сче-х + Сухе аех Cex ·X

A:

Q: Select all the expressions equal to pr ry Op.z: (r· y) O (p - x) ÷r. Y Op z÷r.y Op: O (p r) ÷ (r ·…

A: The expression is given by p·xr·y

Q: OI PRn - 2Xaned gus = 2*, then what is Ľ g) (x 2X 3 2 42+1

A: Hi, i am solving question 1 for 2nd question repost.

Q: - Show that an = is monotone. n+2n+7 "}= •

A:

Q: Find at x= 2 dx? 4 %3D dx? 2.

A: Given 2tanx+4y=4 Taking derivative with respect to x, we get…

Q: 13) Find CE 10 2.r-17 D. 6. %24

A:

Q: 2. Completely simplify O(+1), x4, x-4 3(x+4) 2(x-4) O4, x4, x-4 2(x+4) 3 O4), x4, x 2(x-4) −4 3…

A: To simplify the given rational expression

Q: 5. x + y 10x + 8y + 16 = 0 %3D -

A: Consider the following equation of curve:…

Q: 8. 2z (z – 1)?

A:

Q: 1 x2 1- y 2パーン 3. - 1 + y x + x2 x²

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.