[2х 0 • If -2 + 0 21 2 0 31 then, 3 y] 4 1. х %3D —2,у %3D 3 2. х %3D 2 ,у %3D -3 3. x = -2 ,y = -3 4. х %3D 2 ,у — 3

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: An RC circuit with a 100 Q resister and a 10^(-2) F capacitor is driven by a voltage…

A:

Q: 3(y-2) 1- 3y

A:

Q: Let A be an m x n matrix, and let B and C have sizes for which the indicated sums and products are…

A: If the product AB is defined, the entry in row i and column j of AB is the sum of the products of…

Q: dy If y = (5x + 1)(2x +In x), then will be %3D dx (5x + 1) +) + 5(2x+ In x) A. -1 B. (5x+ 1) - 2. +…

A: The given problem is to find the derivative of given function y=(5x+1)(2x-1+ln(x)) , we can use…

Q: а. Иух — их +uy — и 3D 0 b. x²uyy – 2xuy + u = 0 c. uyy + xuy +x²u = x* с. d. x*ихх — 2хиҳ + и — 0.…

A:

Q: Y₁' = 3Y₁ + 1/₂ ل3 Y/₂ = 2y + 2y₂

A:

Q: 1. у' + у %3D 2, у(0) — 0 3. у' + Зу — 2хе- Зх 5. ху' + 2у — 3х, у(1) —D 5 6. ху + 5у %3D %3D 7x?,…

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

Q: Transform the equation -y^2+8y+x+12= 0 into its standard form

A:

Q: 2х -1 x² - x +1 X 2.

A:

Q: 1. 5х2у" + 23ху' + 16.2у —D 0 2. х?у" + 0.7ху' — 0.1у %3D 0 3. х2у" — 0.7ху — 0.1у %3D0 |

A: Given

Q: y = 6 7x, y = 67u-1 7x — 1, у %3D 6" 67*, y = u+6-1 –7x, y = 6“ 6*, y = ux-1 TEXT P = V72 + 14 7, P…

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Q: 4x — у %3D 11 and 2x + 2y = 18

A:

Q: 35. Solve this auxiliary DE y"" – y" – 4y = 0,when x = 4, y = 0

A:

Q: 2x3+x-1 4. S x3+x2-4x-4

A: Given: ∫2x3+x-1x3+x2-4x-4dx Suppose I=∫2x3+x-1x3+x2-4x-4dx

Q: t-1+2 dt

A:

Q: Solve for x: 3x -y = 2 - 3y 2-4y ox = V +2 %3D 2-2y %D 3 - %3D 3. O x = 2 - 2y - 3 3.

A: Let us consider an equation ax+by=c  Then solution for x is given as, x= (c-by)/a

Q: 5. Solve IVP у" - 4y" + 7y - бу %3D 0, у(0) %3D 1, у'(0) — 0, у" (0) — 0

A: See the attachment

Q: 3x-6y+6z=-5 -2x+3y-5z=7/3 x+y+10z=3

A: 3x-6y+6z=-5  -2x+3y-5z=7/3  x+y+10z=3we have to solve this equation for x,y&z

Q: -4 -3 2 -1 -1 4 -2. -3+ y = x2 - 4 A y = x2 - 4x y = x'- 4 y = 23 4x - ©2021 Illuminate Education…

A: our answer is y=x3-4x

Q: 4-X 2-3X dydx

A:

Q: 2x-y-4z=-1 x-y-2z=1 x-2y-3z=-2

A:

Q: Simplify (2æ* yz*) · (5a²y*z) 10x14 ,5 y* z' 10x°y³ z4 7x° 7x^6y*3z^4 7x° y* z 4,5

A: We have to simplify the given function, (2x3yz4) • (5x2y3z)

Q: 9=/7-4/+2= 6=/2-41+1= %3D

A: Applying absolute value we have

Q: ind the value of x and y given that X. - 24 3 土 %3D 2 -2x 4 -5

A:

Q: Find of z = 2x° 5xy" + x¯ y dy2 -10ху + 3x? у? = -10y + 6xy²

A: To find ∂2z∂y2 of z = 2x3-5xy2+x2y3

Q: form y = mx + b that repres

A: From given graph it is clear that

Q: (3x2 + бху?) dx + (бх?у + 4у) dy %3D0

A: Given differential equations is an exact equation

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.