: Solve the equations3; 1. D² – 6D + 9)Y = 7e3* %3D

Q: Find the Solution of the ff: 1. (D³ – 3D² – 3D + 1)y = 0

A: As per our guidelines we are supposed to solve only one question i.e. the question no (1). For the…

Q: Solve (D² – 3D + 2) y = 2e3 +4 sec (e-)

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Q: Solve the following equations:* (DS+D¹-7D³-11D²8D-12)y=0

A: The given differential equation,D5+D4-7D3-11D2-8D-12y=0

Q: Solve (D2 +5D+6)y3e*

A: Solution

Q: Solve the equation их + иу + и %3D0, u(х,0) — х?.

A: Partial differential equation

Q: Give the general solution of (D5 - 3Dª + 8D² – D – 5)y = 0

A:

Q: 28. Solve (D -4D + 4)y = 0 A y= C, + C,e B. y= Ce+ Ce C. y= Cie + Caxe D. y= Ci + Caxe

A: 28.The given differential equation,D2-4D+4y=0

Q: Solve the d.e. using Method of Undetermined Coefficients (MUC) (D² – 3D – 4)y = 30e4x ||

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Q: The position of a particle is given by s(t) 2t3- 12t2 +18t, %3D is in seconds.

A:

Q: Give the general solution of (D5 + 2D4 + 7D3 – 4D² – 26D + 20)y = 0 -

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Q: Solve (D - D’-1)(D - D’-2)z = e3x-y

A: Given: D-D'-1D-D'-2z=e3x-y

Q: How solve tge step?! 4- Substitution (5) (1) [D(D,-1)(D, -2) + 3D (D –1)+D, +8]y= 7e [D +8]x= 7¢

A:

Q: Q1. (a) Solve the equation dy rp

A: We have to solve given differential equation

Q: Obtain the solution 3. (D³ - 2D + D- 2)y = 0

A:

Q: 4. Solve the equation: (D² – 3D + 2) y = 2e* + 8 O y = cje2* + c2xe¯* + 4 + e* O y = cje2* + czeť +…

A: Explanation of the answer is as follows

Q: (D + 2)x + (D + 4) ỵ = 1 (D + 1)x + (D + 5) y = 2

A: Given simultaneous equation is D+2x+D+4y=1    (i)D+1x+D+5y=2    (ii) Eq. (i) can be written as…

Q: Q9. Solve (x3 + уз)dy + x2y dх %3D0

A:

Q: Solve the equation: (D² - 4) (D+2) y = 0 Oy=c₁e²x + c₂x²x + c3e-²x Oy=ce+exe + c3e

A: To solve the given differential equation.

Q: 3) Solve dAfferentral equation.(b and the variables ) are (D2+ 4D+3)b = 1+ 2g +3a ²

A:

Q: Solve the equation (D² - 3D + 2) y = 2x² + 1 Oy=c₁e² Oy=c₁e* + c₂e² + 3 + 4x + 5x² + c₂e²x + 4 + 3x…

A: Solving the differential equation below

Q: SOlve the differentilal equation d²y d*y 4- d³y + 7. dx2 14 | dx+ dx3

A:

Q: Give the general solution of (D5 – 3D4 + 8D² – D - 5)y = 0,

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Q: (b) Solve y" +y - 6y = e2t.

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Q: Solve the equation: 8d3y/dx3 -5dy/dx+3y x3, for x, with initial values of (d3y/dx3 (0) = 4) and y…

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Q: Give the general solution of (D5 – 3D4 + 8D? - D – 5)y = 0

A:

Q: Find the general solution for the equation: D2(D4-16)y = 0 is y = ?

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Q: The equation æ? + y² – z² = 1 in R³ describes %3D

A: Find your answer below

Q: Solve the equation. dy dx = 7x² (8+y²) 3 N/W

A: We have to find an implicit solution of given equation.

Q: Give the general solution of (D5 + 2Dª + 7D³ – 4D² – 26D + 20)y = 0

A: Solution:-

Q: Find the solution. (4D³ + 4D² + D)y = 0 A y = c,+(c,+cx)e/2 /1- y = c,x+ (c,+c,)e½ © y = c,e-/+…

A:

Q: Give the general solution of (D5 – 3Dª + 8D² – D – 5)y = 0

A:

Q: Solve the equation: W = ;a – 3d for a. Oa = 2W + 3d Oa = W+3d 2 Oa = 3wd 2

A: We have to solve for a

Q: Give the general solution of (D5 – 3D4 + 8D? – D – 5)y = 0

A:

Q: 10. Solve the equation (D² - 3D + 2)y = 16.

A: Solution

Q: C. Find the general solution to (D* – 2D’ - 7D² + 8D +12)y = 0 1.

A: According to company rule, we can answer only first question and rest can be reposted.

Q: Q3: Solve the D.E_XỲ+Y=. XY+Y= 7/2/2 y2

A: The given differential equation is  XY'+Y=1/Y2

Q: Give the general solution of (D5 + 2D4 + 7D3 – 4D² – 26D + 20)y = 0

A:

Q: Give the general solution of (D5 – 3D4 + 8D² –D – 5)y = 0

A:

Q: SOLVE THE NHLDECC USING UNDETERMINED COEFFICIENT (D3 + D² – 4D – 4)y = 3e¯x – 4x – 6 ANSWER: y =…

A: Solve by undetermined coefficient

Q: 1. Solve the equation: (4D4 – 4D³ – 23D² + 12D + 36) y = 0 O y = cje* + c2xe2" + c3e¯7 + c4xe¯i O y…

A: The given equation is: (4D4-4D3-23D2+12D+36)y=0...(1)

Q: Give the general solution of (D5 – 3D* + 8D² – D – 5)y = 0

A: To find the general solution of  D5-3D4+8D2-D-5y=0.

Q: Find the general solution: [D4 – 6D³ + 17D² – 28D + 20]y = 0

A: Since you have posted multiple questions and we can answer one question. So answer provided for…

Q: Solve (D³ + 4D² + 5D) y = 0 ; when x = 0, y= 0, y' = 0, y" = –5 %3D E A- B I- E E !!

A:

Q: Solve the (D’+ 4D+4)y(x) = Se equation

A: The given differential equation is: D2+4D+4y(x)=5e2x

Q: 3. Solve the equation (D³ + 3D² – 9D – 27)y = 0

A:

Q: 5. Solve the equation: (D² – 3D + 2) y = 2r² + 1 O y = cje* + c2e²« + 4x + 3x² + x³ O y = cje" +…

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Q: Solve (D – D4 + 4D³ – 4D²) y = 32 cos (2x) – 20e¬× %3D

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Q: Solve (4D² + 5D + 1) y – ' for y, using the method of undetermined coefhcients.

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Q: Obtain the solution (D³ - 2D + D – 2)y = 0

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.