4. Obtain the general solution (D + D - 9D - Dy = 6e - X 3x + 3xe

Q: Find the general solution to the equation xdx + -dy= 3dy O x=/2y+ Cy-2 O xy= 2y + C O y = 2x3 + C…

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Q: The general solution of (D³+4D)y=0 is (A) Ay=c₁еx+c₂e²x + c3e² (в y=e*(c₁cos2x+c₂sin2x) -4x y =…

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Q: Find the general real solution of d3y/dx3 -dy/dx = x2 + 4 +e4x

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Q: dy X -2= y² - 3y dx

A: We use variable separable method to solve the given differential equation.

Q: 9. Find the particular solution of y" - 2y' + 5y = 0 y(0) = 1 and y'(0) = -2. An

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Q: Find a particular solution to y" + 4y' + 3y = -16te²".

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Q: 4. Find the general solution of (x³ + y³) dx = 3xy? dy A. -3x3 + 2y3 Cx B. 7x3 + 2y3 = Cx C. -6x3 -…

A: According to question, Given differential equation, x3 + y3 dx = 3xy2 dy

Q: Give a particular solution for y" – 2y' + y = 3e*.

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Q: (2x + 3y + z = -1 Зх + Зу + z %3D1 (2x + 4y + z = -2 Give the solution of

A: We can find the answer using Gaussian elimination method as below.

Q: 1. Determine a particular solution to y"-4y'-12y=3e5t

A: We have to find the particular solution of the given differential equation. y"-4y'-12y =3e5t…

Q: 2. Find the general solution of d'y d'y + 12 dr Sy 21e dr

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Q: 10. Find the particular solution that satisfies the initial condition. my'+2y = 3x2-5x, Initial…

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Q: Solve for the solution of: (D3 + D)2y = 0

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Q: 2 4. Find the general solution of (x + y') dx = А. -3x3 + 2y) %3D Сх В. 7x3 + 2y %3D Сх Зху" dy С.…

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Q: Obtain the general solution. (D4 + 4D³ +2D²-8D-8)y=0 O y=e²x(C₁+C₂x) + C3е√²x + С₁е-√²x Oy=e-²x(C₁x…

A: Given differential equation is D4+4D3+2D2-8D-8y = 0 To obtain the general solution of the given…

Q: Find a particular solution to y"+6y +9y = 5e-3t t2 +1 Yp=

A:

Q: Give a particular solution for y" - 2y' + y = 3e".

A: Explanation of the answer is as follows

Q: 5(a) Find the General solution of the Diffe -3x (D² + 6D + 5)y = e 3" (1 – 2sin²x) ||

A: Explanation of the solution is given below....

Q: Find the general solution of d³y d²y dx3 ' dy 4 - 4y = 6e-* + 8x + 8 dx dx²

A: 1f(D) eax =1f(a)eax ; provided f(a)≠0.If case of failure f(a)=0 , then                  = x 1df(D)dD…

Q: 5. Find the general solution of (6x2 – 7y2) dx – 14xy dy = 0 A. x(2x2 + 7y?) = C B. y(2x2 + 7y?) = C…

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Q: Find the general solution of d³y d²y dy + 4. +9+ 10y = -24e* dx3 dx2 dx

A: The given equation is; d3y/dx3 +4d2y/dx2 +9dy/dx +10y=-24ex.

Q: Find the general solution to the DE y"-4y'+13y=0

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Q: Find the general solution to / + (xy)² = y²e%* .

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: D. 8y = 4x3 - 6x² + 3x + 8e¬*² В. 4у %3D 2х2 — х +3+е-*? Find the particular solution for y' = x3 –…

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Q: 3. Verify that 3e 2x + 4e* is a solution of the y"-3y'+2y=0.

A: We have to verify if the given is a solution to given differential equation or not.

Q: 7. Find the general solution of (Dʻ + 2D’ + 10D²)y = 0.

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Q: Find the general solution: ydx-(e^у+2ху-2х)dy О А. ху^2-се^2у+2(y+1) е^у О в. ху^2-се^2у-2(у+1) е^у…

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Q: Find general solution of pde  (D^2 + 3DD' + 2D'^2)z = e^(3x-2y)

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Q: 6. Use undetermined coefficients to find a general solution of -2x y" + 5y' + 6y = 3e¬2= +e3z

A: The given differential equation is y''+5y'+6y=3e-2x+e3x

Q: Find the general solution of 2y"+3y+y=3sin.x+xe"

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Q: 8. Find the particular solution of x²y"+ xy' = 1; y = 0 and y' = 1/2, when x = 1.

A: eular method

Q: obtain the general solution of (D^3+3D^2-4D-12)y=0

A:

Q: Find the general solution of the x²y" + xy' − y = 3x, x‡0;

A: *By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: 3. Find the general solution of y+= 3x y A. 1/(xy) = -3(x³/2) + C B. 1/(xy) = -3(x2/2) + C dx C.…

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Q: 6. Find the general solution to: y" – 2y + y = x²e"

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Q: Find a particular solution to 16.5e-2t t2 +1 y" + 4y' + 4y Yp =

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Q: Obtain the general solution of the homogenous L.D.E (D³-14D+8)y=0

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Q: y" + 10y' + 26y =0

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Q: Find the particular solution to y''-y'+y = 2sin(3x)

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Q: find the general solution of y''+2y'-3y=(5x^2-7)e^-x

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Q: Find a particular solution to y" + 4y + 3y = 3te". %3D

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Q: 17 c. Find the general solution of the D.E. 2 y" +4y'-8y = 8×-4e²* +4

A: We solve given DE by using method of undetermined coefficient.

Q: 4. Find the general solution of (x3 + y³) dx = 3xy² dy = Cx = Cx А. -Зx3 + 2yз В. 7x3 + 2у3 С. -бх3…

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Q: Find the particular solution of y" + 2y' – 3y = 0 when x = 0, y = 0, y' = -4. %D

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Q: Find the general solution to the DE y"-6y'+9y=t2e3t

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Q: Give a particular solution for y" – 2y' + y = 3e*

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Q: 5. Find the general solution of y"' + y'" - 6y' + 4y = 0 +

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Q: 2) Find the general solution. y" + 3y" – 4y' – 12y = 0 d°x d*x d³x 12 ds d²x ds ds²

A: Here we calculate roots of auxiliary equation.

Q: 'ind the general solution of d³y 6. dr3 dy - 8y = 21e2 dr dr2

A: