Determine the solution of the differential equation y - 6y" + 12y' – 8y = 0 y = C,e-2x + C2xe-2x + C3x²e¬2x a. b. y = C,e2x + C_x²e?x + C3x³e2x y = C,e2x + C,xe2x + C3x²e2x с. d. y = C,e-2x + Cze2x + C3x²e²*

Q: Check that the indicated function is an explicit or implicit solution of the given differential…

A: Consider the differential equation dydx=xy+3x−y−3xy−2x+4y−8 Hence,  dydx=xy+3x−y−3xy−2x+4y−8…

Q: Consider that Let the solution of equation y₁ = x² y2 = 3x² - y3 = 4x-2 2 x² x²y" + xy' 4y = 0…

A: All the parts are solved properly with detailed explanation.Hope you got your answer. If any query…

Q: Find the solution of the differential equation у" — 16у 3D 2е\x y = C,eªx C2e¬4x + +xe4x а. 4 b. y =…

A: The given differential equation is y''-16y=2e4x .............................. (1)  for the…

Q: What is the general solution to the differential equation 2(x – y²)dx + x(4y + x)dy = 0 ? у3 — ху? +…

A: The given differential equation is of the form of Mdx+Ndy=0.First we check given differential…

Q: Let's consider the differential equation 4y" + 2y" = e-*(x² + 4) + 4e 2 – 5x² + 9 Which of the…

A: The solution is given as

Q: SOLVE : uoTienbe je120 (6x2 +4xy +y2)dx + (2x2 + 2xy -3y2)dy =0 2x³+2x3y+xy²-y³=c 3x2+2x?y+xy2+y°=c…

A: We need to find the solution of this exact differential equation

Q: a²u 3) əx2 dv 8- ду is a equation. 4) The order of a differential equation is the order of the

A: 3) Clearly the given equation is Partial Differential equation.

Q: The general solution of the differential equation x2y′′+xy′+(25x2−9)y=0x2y′′+xy′+(25x2−9)y=0 is?

A: The differential equation of the form  x2y''+xy'+x2-ν2y=0            i is referred to as Bessel's…

Q: Determine the solution of the differential equation y"'-6y" + 12y'-8y = 0 %3D y = C,e-2x + C,xe-2x +…

A: Given: y'''-6y''+12y'-8y=0

Q: Find the most general real-valued solution to the linear system of differential equations 12/2 x₁(t)…

A:

Q: The complementary function(C.F.) of the differential equation(D – 6) (D+ 4)y = 6x is_ O (cı + c2x)e0…

A: Given: D-62D+4y=6x

Q: The solution of the exact differential equation (2xy2-3) dx + (2x²y + 4)dy = 0 is: O None of them…

A: Ans- To solve the given differential equation, we need to check if it is exact. For that, we check…

Q: The general solution of the differential equation 2y""-3y"-2y'=0 corresponds to A- B- C- D- y=c₁e²…

A:

Q: =C2e(-2x) - 6xel-3x) - 5e (2x) + C₂e(-2x) + 6xe(-3x) + 5e (2x)

A: option A is correct answer

Q: Find the solution of the following differential equations: Homogeneous Differential Equations 3 (x2…

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

Q: Determine the total solution of the differential equation (D2+5D+6)y=6e(-3x)-100e2x O A. y =…

A:

Q: What is the differential equation of the solution y = C₁e-9 + С₂xе-9x + С3e7* ? Oy" + 11y" - 45y +…

A:

Q: Determine the general solution of the following differential equation: (D²-4D+4)y=(6e2x)/(x4) O A. y…

A:

Q: Match the general solutions to the differential equations. (D²-3D-40)y=0 (D²+D-42)y=0 (D²+8D+15)y=0…

A: The given differential equations, D2-3D-40y=0D2+D-42y=0D2+8D+15y=0D2-4D-45y=0 We have to match the…

Q: What is the differential equation of the solution y = C1e®" + C2xe®u + C3e¬7w ? O y" – 11y" + 45y +…

A:

Q: Consider the following linear system of differential equations. Y - 324y2 Which of the following is…

A:

Q: (x² - 2xy+3y-7)dx + (3x − x² + y³)dy = 0 (2y + 1)dx + (x + 2) dy = 0. y' + 5y = e-3x

A: 1) x2-2xy+3y-7dx+3x-x2+y3dy=0 solve the differential equation differential equation is of the form…

Q: Determine the form of the general solution to the following differential equations с. у) + 5у2) —36у…

A: To solve given differential equation we used the method of undetermined coefficient. First we write…

Q: Find the general solution of the linear differential equations. y" - 3y' - 4y = 30e4x a. y = (c1 +…

A: