Solve (D+ 1)3y = 0 O a. y = Ce*+c>xe* + czx²e* O b. y = ce-X+ czxe-* + czx²e¬x O c.y = cqe*+c,xe*+c3e¬x O d. y = Cje¬*+cC2xe¬*+c3e*

Q: Calculate û x ô if û = ĵ + 2k and û = -i - ĵ + k. %3D

A: Topic = Vector   if u→ =a1i+a2j+a3k and v→ =b1i+b2j+b3kthenu→×v→=ijka1a2a3b1b2b3

Q: Determine whether the given set is linearly dependent or linearly independent: S =

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Q: {3x+y=-3 2x+3y=5 (X,y) =

A: Given: 3x+y=-32x+3y=5 To Find: The value of x,y.

Q: 3x* y+1

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Q: Obtain the Selution of diffnential equation Sec Y x2-4x +5

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Q: 2х -1 x² - x +1 X 2.

A:

Q: ifferentiate. 12) y = (x2 - 2x + 8) ex A) (x² + 4x + 6) ex C) (x²+6) ex 1 [ 2 ² + x + 1] x B) ex 3…

A: Given query is to find the derivative.

Q: S Vi+ V2+3xdx

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

Q: 20: a) Find variables if 3x + y 19 -17 2 [19 2x+3y]

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Q: (2x) (3y+8) (2x+4) R 5. mZQ = mZO =

A:

Q: 14-t2 dt

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Q: End bahavior of y=(x²-5)(x-1)²(x+2)³

A: Given function is y=x2−5x−12x+23. We have to find the end behavior  limx→∞y and limx→−∞y. Use…

Q: Compute f. F · dr, where F(x, y) = (8 + 21x², 4xy) and C is a line segment from (0,0) to (1,2). (Use…

A: Given F(x,y)=8+21x2,4xy2        (1) Line segment from (0,0) to (1,2) is y-0=2-01-0(x-0)⇒y=2x…

Q: Qil If y , Show that y=2x- 2y3

A:

Q: Rachel deposits $12,000 into a fixed asset account that earns 6% compounded quarterly. What is…

A: Formula:      where FV = Future Value          PV = The principal amount (the initial amount of…

Q: 6y²dx- x(2x³ +y)dy = 0 a. x³yi = y#+ c b. x-3yi 2y+ c C. x³yi= yi+ c -y= 2y+ c d. x

A:

Q: f|A| = 9 and |B| = 3, what is |AU B| + |An B|?

A: Given: A=9 and B=3. To find: A∪B+A∩B Formula Used: The relationship between the union and…

Q: Мaximize z = 3x1 + 5x2 subject to: 4x] + х, < 25 2х, + 3x, < 15 with х, 2 0, х, 2 0.

A: To Maximise  z= 3x1+5x2subjected to : 4x1+x2 ≤25                         2x1+3x2≤15 with…

Q: YA 7) 3 X+4 3 y>}x-1 2 432 -2 -1 -4 2 3 4 -2 -3 4 -5

A: The given inequality is: y≤-34x+4y&gt;12x-1

Q: I 2ex e3x tex dx

A:

Q: Which system of inequalities best describes the given graph below?

A:

Q: 2x + 5y+Z= メ+y+2z=L X + 53 = 3 22=2

A:

Q: 2 € X = 12-y² - 37² 4

A:

Q: 6). Solve xdy- yk -0 x +y* xdx + ydy +-

A:

Q: 1. Given the algebraic function x² xy + y² = 3

A:

Q: Find L - (8+3)3] 7 12 O 9t%e-3t O 6te3t O 6t?e-3t O 6t2

A: Use property of inverse laplace transform

Q: Evaluate / Vx2x/x +1 dx: /2x/x + I dx: 3 (2x + 1) + C 중 금(2xi + 1)' + C + 1) + C 5 (2x3 + 1) +C

A:

Q: 4. у + 2x &y(1) = 2. y3

A:

Q: 4. Express (-23+ j2) in rectangular form.

A: Let's find.

Q: S(in 6x) dx x (In 6x)2 - 2x (In 6x) +c x (In 6x)2 - x (In 6x) + x + C <(In 6x)2 - 2x х (in 6x)2 + 2x…

A:

Q: 5. c) [(4x³ + -)dx +

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Q: (D³ – D)y = 4e * + 3e2x X. a. Ур а. у, — 2хе * + 2xe+ +-e e2x b. Yp = 2xe +e2* X- 3 2x C. Yp = 3xe 2…

A:

Q: Salve diff.eon √₁+x² + y² + x²y² + xydy 1 = 0 14x

A: Given differential equation is             1+x2+y2+x2y2 +xydydx=0 ⟹        1+x2+y2+x2y2 =-xydydx⟹…

Q: B) (x + 10) +y-10)"= 16

A: Given: Center = ( -10 ,  10 ) and radius = 4.

Q: seA (D²-D-6)y(x) = xe sled a 1 1 *(5x + 2) - y,(x) = xe"(5x- 2) - y,x)= xe" (5x +2) -i 50 50 50

A:

Q: If x+y=5 and x^2+y^2=13 then x and y =??

A: We have two equations as :                                                        x+y=5…

Q: 1) 2x+8y=20 y=2

A: 2x+8y=20..................1y=2.............................2

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.