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

Q: Solve (D³ + 3D² + 16D - 20)y=0 when x = 0, y = 1, y = 0, y" = 1

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Q: Find the general solution using the method of undetermined coefficients. / x" – 4x =t² + 17t

A: Solution:

Q: Find the general solution  y ′ + 4ty = ty2 + t

A: Given differential equation is  y'+4ty=ty2+t to find the general solution of this equation

Q: Use the method of undetermined coefficients to find the general solution: y" + 4y = 5t2

A:

Q: Solve using method of undetermined coefficients (D2 + 4D + 5) = 13e3x + 50x When x=0, y=0, y'=0

A: Solution is given below:

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

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Q: Q2\Using the variation of parameter, find the solution of: y'+16y = csc 4x

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

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Q: Find the general solution to t?y" - 13ty' + 49y = 0

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

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Q: dy = 6x(y – 1)2/3. dr

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Q: Q. Solve the equation using Variation of Parameters: y" – 5y' + 4y = x. -

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Q: The y, of (D²+D)y=11 .A e¯X+11 .B 11 .C 11x .D does not exist

A: Given that  (D^2+D)y=11  To find the particular solution differential equation

Q: (D3 + 3D2 + 9D – 13)y = 0. Find the solution.

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Q: d²y Find d , if you know y = 2x³ ?

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Q: What is the general solution of the equation y '(t) = -4y + 6?

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Q: Find the solution (D3 + D2 − 4D − 4)y = 8x + 8 + 6e-x

A: The given problem is to find the solution for the given non homogeneous linear differential…

Q: Find the solution of dy r(1+ y?) dr 4+22

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

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Q: Obtain the general solution.  1. (D4 - 5D2 - 6D - 2) y = 0 2. (D5 - 5D4 + 7D3 + D2 - 8D + 4) y=0

A: According to question, Given differential equation, 1. (D4 - 5D2 - 6D - 2) y = 0 2. (D5 - 5D4 + 7D3…

Q: Obtain the general solution: 1. (D² + 6D + 9)y = 18e 3* -3x

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

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Q: Obtain the general solution: 1. (D² + 6D + 9)y = 18e 3x

A: The given differential equation, D2+6D+9y=18e-3x.....(1) is a non-homogeneous linear differential…

Q: Find the general solution. 8. (D* + 3D – 6D² – 28D – 24) y = 0

A: Given differential equation homogeneous, linear differential equation of 4th order with constant…

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

A: Solution:-

Q: dx x2V9-x 2. S(6x³ + 3x?) e*4x d=

A: Only I do que 1 and 2

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

A:

Q: Q2\Using the variation of parameter , find the solution of: y'+9y= sec3x

A: Particular solution by variation of parameter where W is wronskian of y1 and y2.

Q: Find the general solution please. (D3 -D)y =-2(1+x)+4ex -6e-x +96e3x

A: Given that the differential equation is     (D3-D)y = -2(1+x)+4ex-6e-x+96e3x  Here we have to find…

Q: Find the solution. dy 3+9y =2ty53 (A) y- 3er - 3 (B © y - 34-3e2

A: To solve the given differential equation first we will arrange the differential equation in the form…

Q: c. Find the general solution to the following. (- | (D* - 2D' - 7D² +8D +12)y = 0 (D* +2D' + D²…

A: Take factor.

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: Find the particular solution: (D4 + 3D³ + 2D²) y = 0 when x=0, y=0, y'=4, y"=-6, and y"=14.

A: Given

Q: Find the general solution by substitution or elimination Q6 A: * = x -2 y +t — х —у+2t dt

A: The system is x'y'=1-21-1xy+t2t Obtain the eigenvalues: A-λI=01-λ-21-1-λ=0-1-λ2+2=0λ=±i The solution…

Q: What is the degree of the differentia equation dy 5a4 – 6x2 ? dx3 .A 1 .B .C 4 .D

A: The degree of the differential equation is represented by the power of the highest order derivative…

Q: He is (D +3D-4) y(x) =15e" given The general solution to the equation y(x) = qe* +(c, +3x)e** True…

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Q: Find the solution. (D2+4D+4)y=0; when x =0, y=1, y'=-1.

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

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Q: The population of a colony of squirrels is given by 1500 p(t) %3D 3 + 2e-0.1t

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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: Q5 Suppose the equation y" – 4y' – 5y = f (x) has y = 3x' as a solution. (b) What is the general…

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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: The y, of (D²+D)y = 11 .A does not exist .B 11x .C 11 .D e +11

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Q: Use the method of undetermined coefficients to find the particular solution y, y" – 4y" + 4y' = 2x –…

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Q: The cost, C, of producing x Totally Cool Coolers is modeled by the equation C = 0.005x- 0.38x + 10…

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Q: Q4) y" + 9y = x Find the general solution

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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.