What is the general solution of the differential equation (y - 2ry + 6 ) dr (2 – 2ay + 2) dy? - O zy² – z²y + 6x – 2y = C %3D O z²y - zy? + 6x - 3y O ry?- z'y+ 6x O zy- a²y + 6x 2v

Q: Find the initial value problem of the differential equation. 2x y" +3xy' – 15y=0 ; y(1) =0 , y'(1) =…

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Q: Find a) general solution of the differential equation x+4y^3sqrt(x^2+1y')=0 b ) particular…

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Q: Two linearly independent solutions of the differential equation y" + 6y' + 9y = 0 are Select one: yi…

A: characteristic polynomial  r2 + 6r + 9 =0 (r+3)2 =0 r = -3 solution of this eqaution is y(x) =…

Q: Two linearly independent solutions of the differential equation y'" +4y' +4y=0 are Select the corect…

A: Given the differential equation y" + 4y' + 4y = 0. Here the auxiliary equation m2 + 4m + 4 = 0

Q: 4. Find the general solution of the given differential equations. (a) y" – y" – y + y = 0; %3D - (b)…

A: Given: The differential equation are: (a) y'''-y''-y'+y=0 (b) y'''-3y''+3y'-y=0 We have to find the…

Q: 3. Get the general solution of the differential equation (x+2y-4)dx- (2x+y-5)dy%3D0, А. (х — у + 1)3…

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: What is the general solution to the differential equation (x – 4y – 9)dx + (4x + y – 2)dy = 0 ? x-1…

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Q: Find the solution of the differential equation that satisfies the given initial condition. dy %3D…

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Q: 3. Get the general solution of the differential equation (x+2y-4)dx-(2x+y-5)dy%3D0. A. (x - y + 1) =…

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Q: Give the general solution of the differential equation -5x y"+ 10y'+ 25 y =3xe a) O y=C, e*+ C,xe…

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Q: Solve (4x+y-1)dx + (x-y-4)dy using differential equation. A. 4(x+1)? + (y-5)² + (x+1)(y-5) B. (x+1)?…

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Q: find the general solution of the given higher-order differential equation     15-      y"'− 4y" −…

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Q: Find the solution of the differential equation y′=2xye(x/y)2 / y2+y2e(x/y)2+2x2e(x/y)2 a. y+…

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Q: Show that y = 3x et +e-3x is a solution of the differential equation y' + 3y = 3ex. 4 y = 2ex + e-3x…

A: Given the differential equation:

Q: The differential equation a" + 2a 5x sint is equivalent to the system x' = 2.x – 5y x = 5x2y - | y =…

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Q: What is the general solution of the differential equation (y – 2ry + 6 ) dr (2 2ay + 2) dy? O zy? –…

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Q: x'+y'-x-3y=et x'+y'+x=e3t What is the solution of the linear differential equation system?

A: we have  x'+y'-x-3y=et              x'+y'+x=e3tlet ddt=D,x'=dxdt=Dx,…

Q: The differential equation (y³ + 6xy*)dx + (3xy² + 12x²y³)dy = 0 is (Select the correct answer) 3x²y²…

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Q: The general solution of the differential equation x²y" - 2y = Inx is O c,x? + c2xl + 2 lnx - 1…

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Q: Find the solution of the differential equation (6x² − y + 3) dr+ (3y² - x - 2) dy=0 1 O x + O 2x³ O…

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Q: 24. The solution to the differential equation 3x dy - 2y dx = 4yx^3dy is _. y^3 = x^2 y^4 + cx^3 O…

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Q: The solution of the differential equation dy_ x³+x+2xy = 0 is : dx x2 +1 A) y = (x² + 1)[ Invx²+ 1+…

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Q: The solution of the differential equation 7+ x² + x²y+ 7y 1+ Y dy using variable dx separable x2 Py…

A: Separate the variables from terms of right hand side then transfer the terms of y to the side of dy…

Q: Find the general solution of the given higher-order differential equation. d* y dx 7d -18y = 0 dx2 O…

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Q: The general solution of the given higher order differential equation of y" + 3y" - 4y =0is Oage*+…

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

Q: Solve the second order differential equation ý + ý - 6y = 8e* + 3x A:y = ce2x + cze-3x + 2e* + %3D 2…

A: To solve the given differential equation, first we find complementary function (C.F.) and particular…

Q: Find the general solution of the given higher-order differential equation. y(4) – 2y" + y = 0 Oy =…

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Q: y=Aexp(Bx)+Fexp(Gx) is the particular solution of the second order linear differential equation:…

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Q: What is the auxiliary equation associated with the second order linear differential equation d^2x…

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Q: 6y²dx - x(2x³ + y)dy = 0 %3D

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Q: The general solution of the 4th order homogeneous differential equation (D^4 - 16) y = 0 is * O y =…

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Q: What is the differential equation corresponding to the general solution y² = Cx³. dy 2y = A dx 3x dy…

A: solution:-y2=Cx3where C is only one arbitrary constantdifferentiate both…

Q: 41. The general solution of the differential equation x^2 dx- (y+1) dy = 0 is О Зу^2 + бу-2х^3% С…

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Q: 14. The solution of the differential equation: (D-2)³y = e2²x is k a) y = (₁ + c₂x)e²x + xe²x b) y =…

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Q: if y=x²sin(3inx) is a solution of a second order linear homogeneous differential equation, then the…

A: Given Differential Equation is 2nd order  Option (5) is Correct

Q: This problem indicates why we can impose only n initial conditions on a solution of an nth-order…

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Q: Two linearly independent solutions of the differential equation y" + 6y' + 9y = 0 %3D are Select…

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Q: What is the auxiliary equation associated with the second order linear differential equationd^2x…

A: We need to find auxiliary equation.

Q: The particular solution y, of the differential equation y" + 4y' + 4y 3x2 + 1 is (1/8) (1-2x+6x^2) O…

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Q: The general solution of the differential equation x²y" – 2y = Inx - is O C1x² + c2x¯+ In x 1 4 -2x…

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Q: Solve the differential equation y' – 3y = 4et at y(0) = 6. O y = 4e3t – 2e5t %3D | O y = 4e¬3t +…

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Q: +31 Find the particular solution of the differential equation dy/dx = (4x^2-7x)/(3y^2+2) at x = 1,…

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Q: Find the general solution of the second order linear differential equationd^2y /dx^2 −dy/ dx − 12y =…

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Q: The solution of the ordinary differential equation -y(4) + 4y" = 0 is: O c_0+c_1 x+c_2 e^(3x)+c_3…

A: Given -y(4)+4y''=0To find solution of Ordinary Differential equation:

Q: 15. The general solution of the differential equation xy^2 dy - dx = 0 is (3 Points) all of these 3…

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Q: What is the solution of the differential equation 6y²dx = x(2x³ + y)dy? a. 1 1 2 x2 O b. 1 1 2 VÝ Vy…

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Q: The solution of the ordinary differential equation y' = (x + 1)e-"y², y(0) = 12 is Select one: O a.…

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Q: The general solution of the 4th order homogeneous differential equation (D^4 - 16) y = 0 is " O y =…

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