Find two different particular solutions for 3a + 4y = 2

Q: Find the general solution of the equation x2y" + 2xy' - 2y = 0

A:

Q: Find the general solution to y" – 4y' +8y= 0

A:

Q: Find the general solution of: y''-6y'+9y=1/x

A:

Q: 3. Find the general solution to y" – 3y' – 4y = 3x².

A:

Q: Find the general solution of (29) y′′+9y=0.

A:

Q: FIND THE GENERAL SOLUTION 2y) - 5y" - 3y" =0

A:

Q: What is the general solution to: y''' - 4y'' = 0

A: Given y"'-4y''=0

Q: Find a particular solution of (9) y′′−3y′−4y=3e2t.

A:

Q: Determine the particular solution to y''+3y'+4y=3e4x

A:

Q: Find the general solution of 6y''' + 11y'' - y' -6y=0

A: We have to find solution of given differential Equation.

Q: Find particular Solution of y-2y'ty =x-6x +2xe a 2.

A: Solution.  Given the differential equation                   y''-2y'+y=x2-6x+2x2 ex…

Q: Find the general solution of y"−8y'+ 16y = 2e^(4x)

A:

Q: Find the particular solution of y' =(2x)/1+2y y(2)=0

A:

Q: 2. Determine the solutions to (5x + 2)(x-1) = 0. a. x-? С. X= - 5 and x = 1 5 and x 1 b. d. x= 1 and…

A:

Q: у" — у' — х %3 0

A:

Q: Find the general solution to y'' + 4y' + 4y = 0.

A: Given Differential equation y'' +4y'+4y = 0Auxiliary equation for the above equation is given as…

Q: Find the general solution of (1+ x²)y' + xy = x=1(1 +x²)-/½

A:

Q: 1. Find the general solution of y"-3y'= 4x² –2y

A: See the attachment

Q: Find the general solution to y" +6y" + 13y' = 0.

A:

Q: Find a particular solution y'''-y''-4y'+8y=6xe^2x

A: y'''-y''-4y'+8y=6xe^2x Particular integral = 6xe2x 6xe2xD3-D2-4D+8By using property shift F(D) to…

Q: y"" - 3y" - y' + 3y = 0

A:

Q: 5) Put into Desmos and find the solution. 6x + 3y = 23 9x - 2y = -11

A:

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

A:

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

A:

Q: Find a particular solution to y"+3y'+2 y = x² - 3.

A: Given that,         y"+3y'+2y=x2-3  ⇒D2y+3Dy+2y=x2-3 Where, D=dydx ⇒D2+3D+2y=x2-3  Let, FD=D2+3D+2…

Q: Find the general solution of æ²p+ y²q = (x + y)z.

A:

Q: (3) y" – 25y = 2xe"

A:

Q: ty" + 3ty + y = 0

A:

Q: Find the general solution of 2xy^2 + 4 = 2[3 - (x^2)(y)]y'

A:

Q: The general solution of 4y"+4y' +y = 0 is ()%3D

A:

Q: Find general solution of the difference equation Yn+2 + 6yn+1+9yn = n 2" +7, by method of…

A: Given:  The given difference equation yn+2+6yn+1+9yn=n2n+7

Q: Find the general solution of * yV - 2y" + 10y" = 0

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question.Please…

Q: Find the general solution of y(5) – 2y" – y' = 0

A: The given differential equation y(5)-2y'''-y'=0

Q: Find a particular solution to Ур || y" + 7y + 10y = 15te¹.

A: Given differential equation is y''+7y'+10y=15te4t We have to find a particular solution for it.

Q: Find the general solution of (26) y′′+5y′+6y=0.

A: We are given the differential equation y''+5y'+6y=0. To solve this differential equation, we…

Q: find the general solution to y"+4y'+3y=3x *

A:

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

A:

Q: y"" - 4y" + 3y = 0

A: The given differential equation is y'''-4y''+3y=0. Find the general solution of the given…

Q: Find the general solution of y^(3) + y'' + 3y' − 5y = 0

A: The objective is to find the general solution to the given differential equation

Q: Provide general solution of the given ay'' + by' + cy = 0and b^2 - 4ac < 0

A: Solution: Consider the given differential equation is ay'' + by' + c y = 0 or aD2+bD+cy = 0   where…

Q: 9. (D2 - 2D +5)²y = 0 %3D

A:

Q: Find a particular solution of (11) y′′−3y′−4y=2sint.

A:

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: Find the general solution of = 0 y" – 2y"' + 10y":

A: Given: y(iv)-2y'''+10y''=0To find the general solution of given differential equation:General…

Q: find the general solution. 25y'' + 10y' + y = 0

A: 25y''+10y'+y=0 or 25D2+10D+1y=0

Q: If y₁(x)=e³x and y₂(x)=xe³* are solutions to y" - 6y' +9y = 0, what is the general solution?

A:

Q: Find the general solution to y" + 4y' + 4y = 0.

A: Given differential equation is  y"+4y'+4y=0   1 Let y=emx is a solution of (1), then y'=memx,…

Q: Find the general solution for b. у" — 2y" + 4y' — 8у %3D 0

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.