10. (D2 – 6D + 9)y = e3x

Q: 9. Solve d²x dt² + 4x + 5y = 1²; d²y dt² + 5x + 4y = t +1.

A:

Q: d²y 5. If y = 4sinx + x²cosx + 4x then find dx2

A:

Q: السؤال الرابع: جد ناتج احد التكاملين التالي ين xe* dxdy ر 4-x² 8-2y2-2x? 1- s8-zy²-2x²,

A: Given: The given integral  is 1)∫-10∫-1y2x2exydxdy 2) ∫02∫04-x2∫08-2y2-2x2x dzdydx

Q: .3 2- S(y² – 4y + 2 ) dy

A:

Q: 6. S -3dy 2y2+14y+70

A:

Q: 5.Find f, L L*(x² + y² )dydxdz

A:

Q: тахz %3D 2x + у S.t х+у<60 2х + у 2 40 y < 30 х, у 2 0

A: Linear programing is a mathematical techniques to optimize solution of given constraints.

Q: = x² – 6x + 13, y = Inx, x = 1 ve x = 5

A:

Q: d (7) Vtan²s+ 21 dt = dx

A: Explanation of the answer is as follows

Q: dy 2ty ii) 12+1 - 21 – (2 – In(t² +1)) = 0; y(5) = 0

A: Differential equation of the form Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x Given differential…

Q: 32 8y%dy y-15 2.

A: The given integral is,

Q: 31. If 9x² = y(y – 3)², show that (y + 1)² ds - dy². 4y

A: We know that Given Firstly, we find dx in terms of dy

Q: 9-y" - 2y +2y=e; y(0) = 0, y(0) = 1

A:

Q: 2. / Vy² – 4y + 10 dy

A:

Q: Find ax dy x-2–1 given y = 2x3

A:

Q: -12 XY and y=-S whenxe4

A:

Q: @3Dy+12 D3=24

A:

Q: 2 c4 e-x-2y dydx 2х

A: It is double integration problem

Q: A Q2 Show that y=x+ is the solution of 3x – x = x+ y. dy dx

A:

Q: 8. = In(3x² – 2y + 4z³); x = 1/2, y = t²/3, z = 1=2 w

A:

Q: 4y² – 25 -dy

A:

Q: (10 – 6y + e-3=) dæ -3.z 2dy = 0 -

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: 4. Find dyax and d2 x =V4- t , go t²-2t ye t'-2 get'.

A:

Q: 1. . 2 y² +4 - dy y

A:

Q: tion: y" – 3y' = e3 – 18x. - -

A:

Q: 3 If y=/xL5x²_36 x²_3x²+Yx-12 (3 14 shuw that dy 24 dx4

A: firstly simplifying these expressions then , use the concept of differentiation

Q: 17. y" + 4y' + 3y = e³t-3u₁ (t); y(0) = 0, y'(0) = 0

A:

Q: Qs) y" + 3y' + 2y = e* – 3

A: See the details solution in below

Q: + d²z Oy2 = 0;

A:

Q: 1 S² = y e2y dy

A:

Q: VAy 5-y-z 15z dz dz dy 2y2 2-y-

A: SOLUTION-

Q: Н. W.: -1/3 6dx 2. V9x2+ 1 c2/3 dy

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

Q: لله √ √³ √ √² zysin(2² + y²) dz dy −

A:

Q: 4y² –7y–12 – , dy + y3-y2-6y dy + dy + dy 5(у-3) 9 5(у+2)

A: Given: ∫124y2-7y-12y3-y2-6ydy=∫1295y+2+2ydy+15y-3dy To find the solution. Solution: We have given,…

Q: 4-y² ²) dædy 2 2

A:

Q: (у-3) dy y2-6y+1

A: To evaluate the integral: ∫(y-3)y2-6y+1dy Solution: ∫(y-3)y2-6y+1dy…

Q: Vy² – 25 dy y3

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Evaluate the following integrals

A: The given integrals are,

Q: />(4y++ +9) * dy 12y2-

A:

Q: Evaulate: 2 1 pr+y (x)dzdydx 0.

A:

Q: 1. (D* + D' – 7D® + D° + 22D* – 22D³ – 20D² + 40D – 16) y = 0

A:

Q: 3 18. z= 19. y= Vx(x-1) 3x-1 20. y= 2x+1

A:

Q: dy y2+1

A:

Q: 2. Find the general solution of d³y dy dy 6- dr3 + 12 dx2 dx 8y = 21e2 -

A: To find- Find the general solution of  d3ydx3 - 6d2ydx2 + 12dydx - 8y = 21e2x

Q: /25-22-y2 zVx² + y? + z² dz dy dr

A:

Q: D’(D² – 4)y = 3x+ 2e¬3* | y = 3x + 2e¬3x m° – 5 - 4m³ = 0 ® m' (m2 – 4) = 3x+2e-3* D (D² - 4) = 0 3…

A:

Q: What is L[y] if y = u3(t) (t- 3)2? %3D L[y] = e3s . - 3 O Lly) = e3s. 2 L[y] = e-3s. 2 O Lly] = e-3s…

A:

Q: dx Vx²-4x-7 7. dy y2-8y+5

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.