D Operator: Solve the DE y" - 7y" +14y - 8y = 0 y = c₁e¹ + c₂e²x + c3e4x Oy=c₁e²x + c₂e4x + c3e6x y = c₁e* + c₂e³x + c3e5x Oy=c₁e¹ + c₂e²x + c3e³x

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

A:

Q: if z=x+iy then zz= 3- y² +1 3- y² – 1 G- ² |

A:

Q: = = xo 8, yo -1 y zo = 6 Xn+1 = xn +2yn Yn+1 = 2xn + yn Zn+1 = yn+2Zn

A: The objective of the question is to find the values of Xn+1, Yn+1, and Zn+1 using the given…

Q: Find curl (5z i + 6x j + 3y k). curl (5z i + 6x j + 3y k) = ( i )i + ( i i )k

A:

Q: Find curl (2z i + 3x j + 5y k). curl (2z i + 3x j + 5y k) (i )i + ( i j+ ( i )k

A:

Q: Find S(-3e-3t + Vt)dt

A: Basic integration formulas are used. I have stated the used formulas in the solution.

Q: Find curl (9z i + 10x j + 5y k). curl (9z i + 10x j + 5y k) = ( i )i + ( i j + ( i

A: Curl

Q: 2 2 4x – 9y = 1 find the thirdderivative

A: Given that 4x2-9y2=1 Find the third derivative

Q: D2 – 5D +6)y=3xex+2x2 , y(0)=0,y,(0)=1

A: Given differential equation is homogeneous ordinary differential equation. To solve this equation…

Q: Find the solution. (4D4 - 4D3 - 3D2 - 2D + 1)y = 0. A y = (c,+c,)e*+ (c,+cx)e/½ y= (c,+c)e/2+…

A:

Q: Suppose x² y² = x + 17y x = y Find 17 x + y x² + y² + 1

A: Given that, x2=17x+y, y2=x+17y, x≠y Find the value of x2+y2+1. As we know the formula: a2-b2=a-ba+b

Q: AMBK Company manufactures furniture such as sofas and tables. In their current inven- tory, a total…

A: Each sofa need 4 plank of wood Each table need 2 plank of wood Total availability of wood 48 plank…

Q: The general solution of (D-4D)y-0 is (A y=c+ cx + Cze tk ® y-(c, + cx)e* +c3e* © y-c+ cx +Cye" -4x D…

A:

Q: 9] Which of the ordered pair is a solution of 2x - 3y < 6? (3, 0) (1, 2) (5, 1) (7, 2)

A:

Q: (х? + 2у — 10у3х) if z у? (у? + 4х + 5у) dz -, find || дх

A: Given:

Q: (r2+2rt-4t2)dr-(r2-8rt-4t2)dt=0

A:

Q: Solve (D+2)x+ (D+6)=0 (2D+3)x+ (3D+8)=0 Ye=C₂X- (C₂/2X) Option 1 X(t)=-2d; e5d2e-lt Option 2 X(t)=…

A:

Q: Verify that x = C1et + C2 is a solution to x′′ − x′ = 0.

A: To Verify that x = C1et + C2 is a solution to x′′ − x′ = 0.

Q: Find the general solution to y = c₁e¹¹ + c₂e(8-√³)² + cze(8+√7)₁ Oy=c₁e¹¹ + c₂e³ + c3e-81 Ⓒy=c₁e¹ +…

A:

Q: Calculus Question

A:

Q: Show that y %3D Cіx-1 + С2х + Cзlnx + 4x2 is a solution to x3y" + 2х?у" — ху' + у %3D 12х?.

A:

Q: Find curl (9z i + 10x j+ 6y k). curl(9z i+ 10x j + 6y k) = ( i )i + (i j +( )k

A:

Q: 6y" – y' – y = 0

A:

Q: 4. Obtain the general solution (D³ + D² - 9D - Dly = 6e*+ 3° 3x 3xe

A:

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

A: We know: Where P, Q and R correspond to the components of a given vector field:F→=Pi→+Qj→+Rk→ curl…

Q: Y1 le-v2(A2(a2-i))-A1(a1-1) dy2 Y1 e-v2(A2(a2-i))-A1(a1-i) (A2(a2-i))-A1(a1-i)|

A:

Q: Find curl (4z i + 5x j+ 2y k).

A: