Trans form Unx t Uyy t Uzz

Q: Find curl (6z i + 7x j+ 9y k). curl(6z i + 7x j + 9y k) = ( i )i + ( i )j + ( )k

A: Explanation of the answer is as follows

Q: Find curl (3z i + 4x j + 9y k). curl (3z i + 4x j + 9y k) = ( i )i + ( i

A:

Q: yYO)=0, YC0j -10 5y"ty's-6x

A: We have to find the solution of given initial value problem.

Q: i x'y day (nal) (y +1) %3D

A: Given ode x2ydydx=x+1y+1 This can be solved using method of variable separable. yy+1dy=x+1x2dx…

Q: du = t2 + 3u, t> 0, u(5) = dt 100

A: Given differential equation tdudt=t2+3u and u5=100 ⇒tdudt−3u=t2⇒dudt−3tu=t2t⇒dudt−3tu=t Hence, the…

Q: dv/du = (u — v)² — 2(u - v) - 2.

A: Here, the given DE is: dvdu=(u-v)2-2(u-v)-2...(1) Substitute u-v=p differentiating it with respect…

Q: Transform the General Form to standard form x² + y? + 6x - 8y + 13 = 0 %3D

A: topic- equation of circle

Q: d²r 107. dr? 2. dt 1=1 = 1, r(1) = 1

A: In this question we need to solve the given differential equations.

Q: Find y' and y". y x In(x) у" y'"

A: To find the first and second derivatives of the given function

Q: Find curl(4z i + 5xj + 9y k). curi (4z i + 5xj + 9y k) = ( i )i + ( i Ok

A: We have to find out the curl

Q: Find y' and y". In(7x) y = x7 y' = y" %3D

A: The given function is: y=ln(7x)x7 Therefore, y'=1x7ddx(ln(7x))+ln(7x)ddx1x7    =1x717x·7+ln(7x)-7x8…

Q: make outbound JÄ x -4/3B = -12Ã ·B Jän; B A 0 = the corner achieve True false

A:

Q: nput x (t) = e-3tu (t). d²y(t) dt² + 6 dut) + 5y (t) = da(t) dt

A:

Q: y' + 0.2y = 0, y(0) = 5, h = 0.2 || %3D %3D

A:

Q: Uxx - Uyy = 0

A: Take u(x,y)=x2+y2 We have  uxx(x,y)=2 and uyy(x,y)=2

Q: %3D y) = %3D y) = %3!

A: Function: g(x)=6x3-18x+9,   [-2,2]Let the interval be[-2,-1],[-1,0],[0,1],[1,2]We need to check each…

Q: Find curl (6z i + 7x j+ 3y k). curl(6z i+ 7x j + 3y k) = ( i )i + ( i j+( i )k

A:

Q: EX:- Select Analog to Convert 2X + y - 3Z - 2u = 0 __(1) X + 2y +Z+ u = 0. (2)

A: We are given a linear system and we have to convert it into analog matrix form.

Q: y' = xy; when x=3, y=1 %3D

A:

Q: find δƒ/δx and δƒ/δy. ƒ(x, y) = xy

A: ƒ(x, y) = xy δƒ/δx = ? δƒ/δy = ?    While calculating δƒ/δx, y is considered as constant. While…

Q: y"+ 4y = (87 - 4t) U(t) + (8 7 -4€) U(t-27) Yco) = 2 Y'o) = 0 %3D para

A: We will find out the required solution.

Q: Let flox) - I=39 1-3x %3D

A: Answer and explanation is given below

Q: make outbound JÄ x -4/3B = -12Ä ·B jän;B sà nai } = "i the corner achieve True false

A:

Q: |(x, y>ls||x||| y| ylgn O ihi O

A:

Q: Find curl (8z i + 9x j+ 6y k). curl (8z i+ 9x j+ 6y k) = ( )i + ( i j + ( i )k

A: Find curl

Q: Find curl (3z i+ 4xj+9yk). curl(3zi+ 4xj+ 9yk) = ( i )i + ( i j+( i %3D

A: We have to find the curl of the given vector.

Q: 27" + 4y = t Yo) =1, y'c0) = 2 %3D %3D

A:

Q: y" – y = 46(t – 2) + t². y(0) = 0, y'(0) = 2. Con

A:

Q: dy +y= x doc

A: Linear differential equation: - An equation with a variable, its derivative, plus a few other…

Q: dr/dt = -2tr, r(0) = ro

A: Solving the differential equation

Q: y" + 2y = U (t –- 7) + 36(t – 37/2) – U (t – 27), y(0) = y'(0) = 0. %3D

A: We are given the equation,

Q: Find y' and y". y = In(x + V6 + x2) y' = y" =

A: we have to find derivative

Q: 1. y = 5u°; u=7x – 4x' + 2x –9 2х-9 u +1. u=Vx? +1 y = u? -1' 3. x=7y -3y +y +8 2.

A:

Q: du 17. t = t² + 3u, t> 0, u(2) = 4 dt

A:

Q: 2 ƒ² ƒ² (x − 3y²) dydx = −12. - Select one: O True

A: ∫02∫12x-3y2dydx=∫02x-7dx=-12

Q: Find curl (7z i + 8x j + 9y k). curl(7z i + 8x j + 9y k) = ( i )i + ( i )j + ( i )k

A: This question is related to vectors, we will solve it using given information.

Q: ky dydx 2 Jo a) /2 c3sene 1? drde b) In x c) ye dzdxdy

A: Solved using integration formulas

Q: y'=xsin^2y

A: Given                y,=xsin2(y) we will solve this differential equation very easily by…

Q: Find curl (3z i + 4x j + 7y k). curl(3z i + 4x j + 7y k) = i Di + ( Dj + ( i )k

A:

Q: y Ux у иху +и%3D 0

A:

Q: Evaluate the integrals

A:

Q: 1 =(0) = - 2, y(0) = 40 %3D -125 14 - æ(t) = %3D y(t) = %3D

A:

Q: Find curl (4zi + 5x j + 6yk). url(4zi + 5x j + 6y k) = (i )i + (i )j + ( i

A: Topic:- vector algebra

Q: 23. (3y2+2xy)−(2xy+x2)dydx=0

A: Solution:- The given differential equation is  (3y2+2xy)-(2xy+x2)dydx=0

Q: Evaluate 1 z-y zy dxdzdy y

A:

Q: 4.x( (y' + In x)y'+y = 0

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: (e) 4u +5uy +uyy +Ux +Uy = 2. %3D

A: To classify and reduce : The partial differential equation 4 uxx +5 uxy + uyy +ux + uy= 2  to a…

Q: y'(2y - x exY) = 2 +yexy

A: Given that: