(t+1)2 (3+5t) 5 b) h(t) = %3D

Q: (D4 + 3D3 – 6D² – 28D – 24)y = 0 (D3 + 3D2 + 3D + 2)y = 0 -

A: 2) (D3+3D2+3D+2)y=0 The auxiliary equation is…

Q: 2) (D² +6D+91)y= 16e-3x x² +1

A:

Q: (D3 + 4D² + 9D + 10)y = -24e* %3D

A: Let's find.

Q: (2D2 + 3D – 9)X + (D² + 7D – 14)Y = 14..... (D + 1)X + (D + 2)Y = -8e2t 1 2 唱( %3D

A:

Q: 2) (D3 + 3D2 4D – 12) y = 0 (D) (E) (F)

A:

Q: (D³ + 4D² + 9D + 10)y - 24 e*; when x = 0, y = 0, y' = -4, y" = 10. %3D

A:

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: 5. (D4 – 2D3 + 2D² – 2D + 1)y = 0 |

A:

Q: 4. (D² – D – 6)y = 0; when x = 0, y = 3, y' = -1 %3D

A: Use this auxiliary equation and complementary function

Q: Y=kx +3 for x

A:

Q: dy =2x – 3 dr Suppose and y=2 when *=3. What is the value of y when *=4?

A:

Q: 4. (D2 + 2D + 1Jy = 6

A:

Q: (D³ – D)y = –2(1+x) + 4e* – 6e¬* + 96e3x -

A: Given- D3-Dy=-21+x+4ex-6e-x+96e3x To Solve- The above differential equation.

Q: d2y Find anž if 2x²-3y²=7 dx2

A: Given that 2x^3-3y^2=7

Q: G 76 H 7x 5x 8y I y = %3D

A: Som of opposite angle of quadrilateral is supplementary

Q: 4. (D2 – 5D + 6)y = 15sinx – 15cosx -

A:

Q: 19.(D³ + 36D)²y = 0 %3D

A:

Q: Q5/ Find by using chain rule dx y vt2-5+ t, x tv4t +8+7

A: Explanation of the answer is as follows

Q: y = 2t + t2 – 2(In t)² d.

A: y = 2t + t2 - 2(lnt)2

Q: [D³ – D)y = -2(1+x) + 4e* - 6e¬* + 96e3× %3D

A:

Q: Is S Gx² + 5x + C)dx = 3x + 5 correct?

A:

Q: D 2x³ – x² + x +2 = (: find dx - A+B+C+D- Consider - + + + x+1 x4 + x3 O 2 O 4 O 3 O 5

A:

Q: 3. (D5 –Dª – 2D³ +18D² –31D+15)y =0

A: Given differential equation is D5-D4-2D3+18D2-31D+15y = 0

Q: (D² + 3D – 4)y(x) = 12e2x

A:

Q: + 12D + 36)y = 0 5. (D³ + 3D² + 3D + 6 (D3 AD3

A:

Q: (D3 – 3D2 + 9D + 13)y = 0 sle plel Ja

A: The given differential equation is ;                    D3-3D2+9D+13y = 0 We have to find the…

Q: y4 X = 4 1 for 2 sys3 + 8y?

A:

Q: 5. (D4 + 2D3 + 10D²)y = 0

A:

Q: Find d2y/dx2 simplify in terms of x and y x2+y2=4

A:

Q: (D³ + 7D² + 19D + 13)y = 0 when x = 0,y = 0,y' = 2,y" = -12 %3D %3D

A:

Q: The cost, C, of renting a car is c = 24d +10, where d is the number of days, including partial days,…

A: Given that the cost, c, of renting a car is c=24d+10, where d is the number of days, including…

Q: (D² – 8D + 16)y = 4e¬v2t, y(0) = -1, y'(0) = 3;

A:

Q: d4y Q4\ b) Find : Y=3X³-4X²+7X+10 dx4

A: Given: Y=3x3-4x2+7x+10

Q: (D² + 6D + 7)(D3 – 5D² + 6D)y = %3D

A:

Q: (D³ – 4D² + 4D)y = 0 (4D² – 6D + 1)y = 0 %3D

A:

Q: f(t) = t² – 3t + 5 Ans. 5s2 – 3s + 2

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

Q: Find EF in the trapezoid. A x+8 5x 10 EF = %3D

A: In this question we have to find middle segment EF.

Q: d²y Find for y dx2 x-9 (Зx2-2х+5)

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

Q: 2. (D5 –D – 2D³ + 18D² –31D+15)y =0

A:

Q: Q2/A/ Find " X" from equation r2 = 8(2tan20 + 1) %3D

A: Please rate and feel free to ask any query about any part of the question.

Q: 6. (D³ + 2D²)y = 0; when x = 0, y = -3, y' = 0, y" = 12

A:

Q: Q5/ Find by using chain rule dx y = vt - 5 +t, x = tV4t + 8 +7 %3!

A:

Q: (9y)° D92° E (5x - 7) 36°

A:

Q: 4. F(t) = e-tsinh (4t)

A:

Q: Q7 Integrate by completing the square: dx 16x2 + 8x + 2 08 Integrate by porto:

A:

Q: Find the d?y/dx2 of the function y=(5x² – 3)(7x³ + x)

A: Given: y=5x2-37x3+x To find: d2ydx2

Q: d4y Find Y=3X³-4X?+7X+10 dx4

A: Given y=3x3-4x2+7x+10 To find d4ydx4 Formulae used : dxn=nxn-1 dc=0, where c is a constant.…

Q: 3. (D4 – 2D3 – 13D² + 38D – 24) = 0

A: As per bartleby guidelines we only give first question answers.

Q: 9. (D+3D² + 3D+1)y = 0. 13. (4D* +4D³ – 3D² - 2D + 1)y = 0.

A: As per our company guidelines we are supposed to answer only 1 question. kindly repost other parts…

Q: V16-x² (c) S dx 2х

A: Rewrite the given integral as shown below: ∫16-x22xdx=12·∫16-x2xdx

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: