h (t) =V x² +2x +4 ; h (2)

Q: 2. Solve the following equations and show the diagram: a. 14x - 5|=7 d. 13x – 5|27 e. r0 3x+1 b. > 3…

A: As per the company guidelines we are supposed to answer only the first threesuparts. Kindly repost…

Q: For all numbers x: /x/ > 1/x . Which is the appropriate counterexample? a. 1 b. -2 c. 2 d. -1

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Q: Find a real general solution. x?y" – 2y = 0.

A: The given differential equation is x2y''-2y=0. Clearly, the given DE is a second order Euler…

Q: Find the solution to x’(t)=2x(t), x(0)=3

A: We have to solve the above differential equation.

Q: Find the general solution of the following: 11.(D² – 2D + 5)y = 0

A:

Q: Which of the following is a general solution to the DE y = 3x? +5? A y= x3 + 5x + C B y=x3 + C ©…

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Q: Q1: find the complete solution of the following: 1. y" + 4y' + 4y = x2 e-2x

A: Given equation- y''+4y'+4y=e-2xx2 Auxiliary equation- m2+4m+4=0m+22=0m=-2,-2

Q: 28. y" – 3y" – y' + 3y = x'e*. x²e*. %3D

A:

Q: What is the general solution to 3yy' – x² = 0 for æ > 0? O y = a3 + C2 O y = '음교3 + C2 9. O y = /žæ³…

A: using variable separation method,

Q: Solve the following problem and choose the best answer. Question x²y? - r²s² = O (xy- rs)? ху O (xy…

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Q: solve the following using variation of parameters: y"+9y=1/4csc3x

A: The given differential equation is y''+9y=14cosc 3xORy''+9y=sin 3x4 The solution using the method of…

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

A:

Q: 10е 3" (1 — 5t) — 0

A:

Q: Which of the following is a solution to y" – 6x = 2? a. y = x3 b. y = x c. y = x3 + x? с. d. All of…

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Q: Find the general solution of tx -3x = t³+2t for t> 0.

A: Given DE is  tx'-3x=t3+2t .......(1) We find the general solution of (1).

Q: (5x2 – y²) dx + 2ydy = 0

A:

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

A:

Q: Identify the solution to the equation V3x + 13 = V5x – 11. A X = 1 O B X = 3 C x = 7 O D X = 12

A: Solution:

Q: 2. Eliminate the arbitrary constant on the given equation: Y C12? + C2e¬#

A: topic - differential equations

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

A:

Q: A. Obtained the general solution. 1. (D2 – 6D +9)y = e*

A: In this question we have to find the general solution.

Q: Q3) Solve the following graphically and check your answer algebraically a) 2x-3y -13 4x +2y -2

A: Solving a linear pair of equation algebraically and graphically will give us the same solution set…

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: Which of the following is a general solution to the DE y = 3x2 +5? A y=6x+C B y= x3 + C © y=3x²+ C D…

A:

Q: y The solution of y' = 6, y(0) = 2 is 10+x X +x² + 20 (A) 60x + 3x? + 20 (В) 10+x 10+x 3x? (D) +60x…

A:

Q: In the following implicit solution, use the initial condition y(1) = −3 to find C y³ - 5y = 4x - x²…

A: Introduction: To identify a specific solution, we typically need initial circumstances or additional…

Q: Find the general solution Ans. y=(C1+C2x)eX+e*

A:

Q: Find the particular solution. y' = e = 8; y(0) = 7

A: Given Data: Differential equation: y'=ex-8 ......(1) Initial condition: y(0)=7 Integrate the…

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 particular solution to the following using the variation of parameters technique: (a)…

A: Hi! As per norm we will be answering only first question. Kindly re-post for the solution of the…

Q: a. Obtain the general solution of the following i. (4+x)y'= y³

A: Solve the differential equation using variable separable method. According to Bartleby answering…

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: What is a solution of the first order equation Y (K+1) = Y(K) +5 ? Ans: y(K) = 20+5k

A:

Q: (x+ 1)y' – 2(x? + x)y = y(0) = 5

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: T2 3 (x² + T²)¯Z dT T1

A: Consider the given integration as ∫T1T2x2+T2-32dT

Q: Which of the following is the general solution of the DE y" = 12x? a. y-x*- Cx + C b. y-+ Cx + C c…

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Q: e general solution of y6) + 4y(4) + 3y" = 0 ?

A:

Q: Find the general solution of the following 8. (4D² – 6D + 1)y = 0 %3D -

A:

Q: Q3) Solve the following graphically and check your answer algebraically a) 2x-3y -13 4x+2y--2

A: Given system of linear equation is: 2x - 3y = -13 .................. (1) 4x + 2y = -2…

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 solution to y' +2 = xy3? * +c a. b. = -x +c c. xy? = - +c d. xy = -x² + c e. None of the…

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Q: Q3: Find the general solution for the following (x? – 4)y" + 3xy +y = 0

A: Solving this differential equation using cauchy euler which is only applicable in the equation where…

Q: "D² - D - 2)y= 1 - 2x - 9e -x

A: Given differential equation D2-D-2y=1-2x-9e-x Auxiliary equation m2-m-2=0(m-2)(m+1)=0m=2, -1 hence…

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: Find the general solution of the following 13. (D² – 2D + 2)y = 0

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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: y''=6x-4 find the general solution for the diff eq. above

A: