Given the function C(n) = 3nt – 30n3 + 72n2 -

Q: Q2: Given X =t +2x- +3u ди Find Xe 2

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Q: Find LF D 14 12 3x +3 C E 7. 3.x

A: Both triangles are similar triangle, So, 3x + 33x = 1412 = 76 18x + 18 = 21x x = 6

Q: In the given question , find d2 y /dx2implicitly in terms of x and y :- x2 y - 4x = 5

A: Given that, x2y-4x=5

Q: A. Obtained the general solution. E... 10. (D² – 3D + 2)y = 3x²

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Q: Solve for x: Ax + By = Cx + D.

A: Solve for x:  Ax+By=Cx+D.   Subtract Cx on both sides. -Cx+Ax+By=-Cx+Cx+D-C+Ax+By=D

Q: Find the particular solution: (D^2-4)y=4x-3e^x

A: We need to find the particular solution of : (D2-4)y = 4x-3ex

Q: B/ solve the following Second order O.D.E d²y + 5y = -180x²e5x əx?

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Q: c. The f'(3) for y = v3x² + 9

A: c)y=3x2+9

Q: Find the general solution of the following 14.(D² – D + 1)y = 0

A:

Q: How do I solve q=f(t)=t3/4+t2/3+6 if t=4?

A: Given function and value of t are,

Q: For which values of a and b does x + a = b have a solution in Z6?

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Q: The particular solution of (D³-5D + 4)y = 0, when x = 0, y = -2, y' = 8, y" = 0

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: B/ solve the following Second order O.D.E d²y + 5y = –180x²e5x

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Q: Find the general solution of the following: 7. (D³ – 4D² + 4D)y = 0

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Q: Given the function P(n) = 4nª + 12n³ – 40n? its P-intercept is its n-intercepts are Submit Question

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Q: Solve the following equation for r. V2 73- 4

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

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Q: Find the general solution of the following 17. (D² + 49)²y = 0

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Q: A bicycle company finds that its average cost per bicycle for producing n thousand bicycles is a(n)…

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Q: ve for x. R P• 2x-3

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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: 11. (D- D)y = 0.

A: As per our guidelines only one question can be solved. Please find the solution for Q no 11 below:

Q: e²–3¤ /1 – y² given that wher

A: Given that, dy/dx = e^(2 - 3x) . sqrt (1 - y^2) Then we get, dy/[sqrt (1 - y^2)] = e^(2 - 3x) dx…

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

A:

Q: Find d?y/d?x from x=t2-3t+4 and y=t2 +4t -5.

A: The parametric equations are x = t2-3t+4 y = t2+4t-5 To evaluate: The expression of d2ydx2 Formula…

Q: g(り2x+qr1( xL3 -Ax+ b, if x 73

A: Consider the given piecewise function

Q: What is the general solution of (D² – 4D + 7) y = 0?

A: This question is based on solution of differential equation.

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: 3 4. If y = t3 + 3t? and x = t - 8t2, show that y" = 16t(t+2)(t-2)3

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Q: So (e2t + e-t)²dt

A: We have to solve

Q: Find the general solution of the following: 12. (D² + 9)y = 0

A: We will find the general solution of given differential equation as shown below

Q: If DE=4x+10 EF=2x-1 and DF=9x-15 find Df

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Q: (D³ – 3D² + 9D+ 13)y= 0

A: Answer and explanation is given below..

Q: r. = x (n) |1,

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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: The Yp of (D²+D) y=20

A: Given (D2 + D) y = 20 To find yp(x)

Q: Q6. Find general solution of the DE 4x²y" + 8ry' + y = 0

A: We need to find the general solution of the given differential equation. The general solution of the…

Q: Q3/ Evaluate grad d, If In(x+y+2).

A: GIVEN: ϕ = ln x2 + y2 + z2

Q: The general solution to (D4- 4D2) y = 0 is

A: Given,  D4-4D2y=0

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: f R(x) = 4x and C(x) = 0.004x + 1.5x + 50,

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: The position of an object at any time is given by s(t)=3t4-40t3+126t2-9.When is the object moving to…

A: The position of an object at any time is given by s(t)=3t4-40t3+126t2-9. Find, (I) When is the…

Q: Find the general solution of the following: 6. (4D² – 4D + 1)y = 0 %3| -

A: Please refer the attached image for complete solution. THANK YOU.

Q: Obtain the general solution to (D2 + 1)y= secCxcscx

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Q: f(x) = ax", withf'(2) = 9 and f'(4) = 72, find n and a. n = a =

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Q: ds Find the solution 2- dt S 5t3S3

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Q: 17) Find DE 3r- 28 3x- 30 D F 33

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

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.