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

Q: n obtaining the solution of y2dy (x³+y°)dx=0 when y (1) =0 what is the value of C? A) 0 D 2 W 3.

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Q: The general solution of the equation (D4 +D²)y= -12 is Ay=C₁ + c₂x + c3cOSX + csinx - 6x² B y=C₁ +…

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Q: (D5 + Dª – 7D³ – 11D² – 8D – 12)y = 0 - - - 24

A: ​(D5+D4−7D3−11D2−8D−12)y=0 ​Linear homogeneous differential equation with constant coefficients…

Q: 2. obtain the general solution. a.(D² – 3D + 2)y 2x- 9x + 6x. b.(D + 4)y = 5e - 4x. c. (D² + 4)y = 5…

A: (b).   The given differential equation is: (D2+4)y=5ex-4x

Q: The general solution of (D3-5D² -6D)y=0 is A y=c1+c2e-2x+ C3e¯3x B y= c+c2e2*+ C3e³ © y=ce*+ c2e2x +…

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Q: Find the general solution of (D² - 5D + 6)y = 4eˉˣ

A: Given: The equation is D2 - 5D + 6y = 4e-x.

Q: dy The general solution of is da O 2x3 + a²y? = C O 2x3 = C 2y3 + a?y? = C O 2y3 = C (E) +

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Q: Find the solution. (D³ + 6D² + 11D + 6)y = 0 - 3x B y = c,xe"+c,e – 3x -3x Dy=c,e-+cze+cze*

A: 21 Given differential equation is D3+6D2+11D+6y=0. We have to find the general solution of the given…

Q: Which of the following is an implicit solution? 1x2 + y? = C а. 2 d²x b. dt2 = 2t4 x2 с. у — | 2 d²y…

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Q: Q2/ A/ Find the equation of straight line passing through the point (1, 2) and parallel to the line…

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Q: y = Cje + C2e 3r What is the general solution of (D³ = 4D) y = 0 ? - %3D 3r y = C1e + C2 + C3e2 2x…

A: Given answers/options have typing mistake

Q: Find the solution. dy + 5y =2x?y4 dx X- 6 x²+cx15 13 A 6. -2– cx 15 B 23 © cy-1 = 6. ?+x15 13 D 6 y…

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Q: 1. Give the general solution of (D5 + 2D4 + 7D3 – 4D² – 26D + 20)y = 0

A: First I have find the roots of the auxiliary equation and then according to the roots find the…

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

A: Given equation is  (D5+2D2+7D3-4D2-26D+20)y=0

Q: Obtain the particular solution 1. (D³ +6D² + 12D + 8)y=0 when x = 0, y = 1, y'= -2, y" = 2 2. y" +…

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Q: The solution of the IVP y" – 3y' – 4y=0, y(0)=0, y'(0)=5 is: Select one: a. y= -e 4t+ e! b. y = -…

A: Using Method of Laplace Transform to solve IVP

Q: Find the solution. (4D³-3D + 1)y=0 A y = (₁+₂) ²¹/²+c₂e² Get ® By y = (c₁ + ₁₂x) e */2² + c₂e²r x/2…

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Q: Obtain the general solution unless otherwise instructed (D5 + D4 – 7D³ – 11D² – 8D – 12)y = 0…

A: In this question we will find CF only as PI part is 0

Q: Obtain the general solution.  1. (D4 + 3D3 + 2D2) y=0  when x=0, y=0, y'=4, y"=-6, y'''=14 2. (D3…

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Q: Q/ Solve the di Pferential e quation y+2y-3y=7R-3x

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Q: Find the solution. y' = 5y + e2x y2, y(0) = 2 -2x \1/3 39e 5x A y-3 25 139e 15 - 3e -2 )1/3 17…

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Q: 1. Give the general solution of (D5 + 2D4 + 7D3 – 4D2 – 26D+20)y = 0 ="

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Q: Find the general solution 1. (D5 + D* - 6D° - 10D + 8D - 12)y = 6e-3x 2. (D* - 15D + 1OD + 60D-72)y…

A: NOTE:- AS POSTED MULTIPLE INDEPENDENT QUESTIONS, WE ARE ANSWERING ONLY FIRST QUESTION FOR YOU AS PER…

Q: Solve using MUC: '-8y + 16y=2(x+12) 3 y= C, e^X + C,xeAX + 8. X- 2 7 3 y=C; eX + C,xe^* + 7 X- 2 B…

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Q: Find the solution. (D³ + 6D² + 11D + 6)y = 0 -2x Av=ce-tre-te +c -3x By=c₁e*+c₂ C + czte © y =…

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

A: Solution:-

Q: Obtain the general solution of the equation: 3(3x² + y²)dx – 2xydy = 0 a. x²=C(9x²+3y) b.…

A: A first order Bernoulli ordinary differential equation is of the form dydx+pxy=qxyn Where p(x) and…

Q: dy 2x + 2xy? 3. Find the general solution of y + 2x?y dx C. 1- 2x2 = C(1 - y? D. 1- 2x2 = C(1 + y2…

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Q: What is the general solution of ху(ху? - 1)dx + х?(1+ ху) dy3D0 ? A 2x3y5-3x2=c B 4x³y7 +3x? = cyA ©…

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Q: 7. Find the general solution of the following DE. a. (D2 – D- 2)y = 0. b. (D2 + 3D)y = 0. c. (D? – D…

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Q: Obtain the general solution unless otherwise instructed (D5+ D4-7D³ - 11D² - 8D-12)y = 0 SUMMARY OF…

A: The solution is given as

Q: 1. Obtain the general solution unless otherwise instructed · (D5 + Dª – 7D³ – 11D² – 8D – 12)y = 0 -…

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Q: 5. Find the general solution of (D³-D)y=4e*+3ex. Ans. y=2xe*+(1/2)e2+c1+c2e*+c3e*

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Q: Find the solution. (D3 - 3D - 2)y =0; when x =0, y=0, y' = 9, y" = 0. A y = (-1+ 2x)e-2*+ e 2x B y =…

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Q: The general solution of (D³– 4D²)y=0 is A y=(c+ c2x)e¯* +c3ex B y=c+ c2e +c3e-2x © y=c1+ c2x +C3e¬4x…

A: To find the general solution of given differential equation.

Q: Find the general solution of the following: 1. (D² – D – 2)y = 0 2. (D² + 3D)y = 0 3. (D² – 5D) + 4y…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: The general solution to the DE (D-3)(D2-4)2(Y)=0

A: We have to solve

Q: Obtain the general solution unless otherwise instructed a.) (9D4 + 6D3 + D2)y = 0 b.) (4D4 − 45D2…

A: (a) Consider the given equation. 9D4+6D3+D2y=0 Convert the equation into the characteristic equation…

Q: Find the solution. dy x-+5y=2x3y4 dx A y = -x+Cx13 15 6. -2-cx 15 23 B y = CX x²+cx 15 y = -

A: Given differential equation is xdydx + 5y = 2x2y4

Q: Solve the second order equation (d2y/dx2) = -my  with the boundary conditions y(0) = y(L) = 0, x⋲[0,…

A: Given the second order equation is d2ydx2=-my

Q: The solution of the IVP y"-3y'-4y 0, y(0)3D0, y'(0)=5 is: Select one: a. V= - e 4t + e b. y= e 41 -…

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Q: Find the solution. (D5- 2D3- 202- 3D - 2ly = 0. A y - (e,+ele. O y - (e,+e

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Q: 1. Give the general solution of (D5 + 2Dª + 7D³ – 4D² – 26D + 20)y = 0

A: We will find out the required solution.

Q: The general solution of (D3-5D² -6D)y=0 is y=ce*+c2 3x + Cze A 3x B y=c1+c2e+ Cze³ ©y=c+c2e¬x+…

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Q: 2. obtain the general solution. a.(D - 3D + 2)y = 2x – 9x2 + 6x. b.(D2 + 4)y = 5e - 4x. c. (D² + 4)y…

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

Q: Find the solution. y' = 5y + e 2x y2, y(0) = 2 -2х 139е 15 — Зе - 3e -2x \1/3 A y = 17 15х 19е 15x _…

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Q: Show solution how to find d2y/dx2 , d3y/dx3 , and d4y/dx4  when The given is x = t3 + t and y =…

A: Given: Show solution how to find d2y/dx2 , d3y/dx3 , and d4y/dx4  when The given is x = t3 + t and y…

Q: Solve the equUations: 1) (D² + 9)²y = 0 2) (D2 + 49)²y = 0 3) (D2 + 36)²y = 0

A: As per our guideline we are supposed to be answer only first three parts of question you can repost…

Q: The particular solution of (D³ + 2 D² − 5D - 6)y = 0, when x = = 0, y = 0, y' = 0, y" = 1

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Q: b) Find the solutions qf th equation 4.1.2 D Ø(D) 1. (D3 – 6D2 + 5D): 2. (4D2 - 3D- 10):

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