Find the annihilator:  f(x) = cos(2x) +4sin (3x)  a. (D^2 +3)^2  b. (D^2 +9)(D^2 +4) c. D^2 - 4D +9 d. D^2

Q: Suppose you are working for a manufacturing company that is analyzing a newer product using the…

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Q: Solve the D.E. 3(3x? + y²) dx - 2xy dy = 0 (A x= c(x² + 9y²) B x= c(x2 + 3y3) © x = c(9x² + y²) D x…

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Q: Differentiate: y = V6x8 4x6 - y' = (16z" - 8a") (628 - 42°)2 %3D O y = 48z7-24x5 (6z-4z ) Oy = (4827…

A: We have to find derivative

Q: - 2- Solve: (2x +1) a.) dx3 +2y 3e* dx %3D dx2 + 6(2x+ 1)+4y = (2x+1) [t= In(2x+ 1)] %!

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Solve the equation: (D² - 1) y = 0 Oy=c₁e* + c₂xe* + c3 cos x + c4 sinx Oy=c₁e¹* + c₂e + c3 cos x +…

A: A detailed solution is given below.

Q: Find The general Solution of VO (3y cosx + 4x + 2x² e^²) dx +(3 Sinx + 3) dy

A: We have to find the general solution of 3ycosx+4xex+2x2exdx+3sinx+3dy=0

Q: Optimize z=f(x,y)=20×x×y-(x2+y2), subject to x+y=4 Do in 45 minutes to upvote

A: Optimization problem

Q: f(x,y) = 40x+ + 72x³y+ 85XU fur eblidl w jall dissui %3D -226x2 A O -226 BO 216x2 CO

A: To find fyx = ?   Given : f(x,y) = 40x4 + 72x3y + 85x

Q: Using the basic formulas and change of variables, integrate the following: 1. S (3x3-1)2 2. Sdx xp*…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find (e3x + 5sinx)dx. -e3x +5cosx +C O a. 3 e3x+1 -5cosx + C b. 3x + 1 e3x -5 cosx + C OC. -e3x -…

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Q: Solve for the particular solution using method of undetermined coefficient: (D² + 2D + 4) = 8 O Yp =…

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Q: Use Cramer's rule to solve for y (y only) in x+y=z=6 3x - 2y+z=-5 x + 3y - 2z = 14

A: The given system of linear equations, x+y-z=63x-2y+z=-5x+3y-2z=14 We have to find the value of y…

Q: Solve: y/" – 4y" + 53y = 0 O y = C1 + C2e cos2x + C3e-7* sin2x 7x O y = C1 + C2e cos2x + C3 e7"…

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Q: dx 1-S 1-sinx

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

Q: 2x+1 10x+5 + dx 2. Show that (* +1)(2-x) x +1 2-x (4x² + 4)(2–x)' . Hence, find

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Q: Solve: y" + 4y" + 29y' = 0 O y = C1 + C2e5ª cos2x + C3e5" sin2x -2а O y = C1 + C2e¬2ª cos5x + C3e¬2®…

A: The given equation is y'''+4y''+29y'=0 First write the auxiliary equation and then solve it to…

Q: dy Q2) Solve x- 2y = x³ cotan 2x dx

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Q: S(sin 29x + 6e0 +5 cos 5x+)dx

A: Given integration ∫sin29x-x5+6e6x+5cos5x+x5dx  Now we break it and we get   ∫sin29xdx-…

Q: Solve for the general solution: (D² + 5)y=0. Oy=c1 e^(√5x) + c2 x e^(√5x) O y = c1 cos(√5x) + c2…

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Q: |(0,3) C1:x2 + y? = 9. (-3,0) C2 (3,0) Figure 1 Based on Figure 1 and given that F = y²i + (3xy +…

A: We have to find the work done by the vector force F =y2i+(3xy+4x)j Where c is a smooth circle…

Q: Find The geneval Solution f 3y Cosx + 4x + 2x² e) dx + (3 Sinx + 3) dy

A: Here we have to find the general solution of the given differential equation which is of the form…

Q: olve: y" +10y" + 29y' = 0 Dy=C₁+C₂e-2 cos5x + C3e-2 sin5z Oy=C₁+C₂e cos2r + Czez sin2z Dy=C₁+C₂e-5…

A: Solution to the differential equation

Q: Q4\ If A(x,y, z) = 3x²i + 3zj – 3xk find the Div (Grad A). %3D |

A: Explanation of the answer is as follows

Q: 故(x3+5) ex A al d Iny d in5x

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Set w(r, y) = cos(xy) where x = t² and y = el-8t, then dw dt Select one: a.…

A: to find the value dw/dt                   dwdt=dwdx.dxdt+dwdy.dydt                     (1)