Find the general solution to y"-y"+y-Y3D0

Q: General solution of 2xydx+y^2dy=0

A:

Q: Find the solution of 2y-y² sec²(xy²) + (2x − 2xysec² (xy²))y' = 0 given y(1) = 2.

A:

Q: Show that y = ex + 3xex  is a solution of y"-2y'+y=0

A: The given differential equation is,

Q: Solve the particular solution (D2+3D+5)y = 5e-xsin2x using  D- operator method.

A:

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

A:

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

A:

Q: Find a general solution of y"- 2iy'+3y= 0.

A:

Q: Find the general solution to: y(x² +1) + y' = 0, for y > 0.

A:

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

A:

Q: 3. y" if y = -x² 1 %3D V1-x2

A: Given: y=11-x2

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: find the explicit solution of y' +xy = x√ y

A: This is a basic differential equation problem

Q: If the solution of y' = 2(2x - y) passes through the point (0,1), determine x when y = 7.

A:

Q: Give a particular solution for y" – 2y' + y = 1+x2

A: Given that a differential equations - y" -2y' +y = ex/1+x2.   We know that integration of 1/(a2 +x2)…

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

A:

Q: 4. Find for the particular solution of y' = x3 – 2xy when x = 1, y = 2 %3D

A:

Q: Find the general solution to  y''+ y' = 1 + 2sin(2t)

A:

Q: Find a general solution of y"- iy'+6y= 0.

A:

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

A:

Q: Find the solution to y - x+t y' = y if r(0) = 5 and y(0) = 4. %3D

A:

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

A: We have to verify that 3e-2x+4ex is a solution of y'''-3y'+2y=0

Q: Find the particular solution of r*y – y y+1 ; y (3) = -1

A:

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

A: Explanation of the answer is as follows

Q: Find a particular solution to y" + 7y' + 10y = -19te“. %3D

A: Introduction: When there is a non-zero function of the independent variable on the right-hand side…

Q: What is the general solution of xy^2dx+x^2ydy=0

A:

Q: 3. Find the complete solution of: y" - y' + y = 1 with y(0)=a & y'(0)=ß

A:

Q: Find the general solution of ди ди (y – z) + (x – z) ди + (2y – 2x) ду - az

A: The differential equation is given as (y-z)∂u∂x + (x-z)∂u∂y  + (2y-2x)∂u∂z = 0 We will solve it by…

Q: ) Give a particular solution for y" – 2y' + y = 1+x² *

A:

Q: find general solution to y''+y'+y=2xe^x

A: on solving the given differential equation by indeterminate coefficient method we will get the…

Q: (7) Find the general solution to y = (x +y + 1)

A: Given differential equation is: dydx=x+y+1 Let us assume x+y=t 1+dydx=dtdxdydx=dtdx-1…

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

A:

Q: -Find the solution of y"+y' + by = 0 by transforming y = x"u|

A: Put y=xαu in the given equation y'=xαu' y"=xαu" Then the equation becomes xαu''+axxαu'+bxαu=0 Now…

Q: b) Give a particular solution for y" – 2y' + y = et - 1+x2

A:

Q: ) Find the general solution of the DE y = (2+y')x+ (y')².

A:

Q: The general solution of 5uxx – 6uxy +uyy = 0 -

A:

Q: Find the solution of y' = (1 – 4x) y², y (0) = –1 in explicit form

A:

Q: Find the particular solution of: y' – 4y = x²e* that satisfies y(0) = 2.

A:

Q: Find general solution of the DE 4y′′′ + 4y′′ + y′ = 0

A: The given equation is 4y'''+4y''+y'=0. The characteristic equation of the given differential…

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

A:

Q: The general solution of the DE y" -y" + y'-y 0 is

A: we have to find out the general solution of the differencial equation y'''-y''+y'-1=0

Q: 2. Obtain the particular solution. y"-y'-6y=0; when x=0, y=2,y'=1

A:

Q: a. Find that solution of y' = 2(2x-y) which passes through the point (0, 1).

A: SINCE YOU HAVE ASK MULTIPAL QUESTION, SO WE WILL ANSWRING ONLY FIRST QUESTION.

Q: Is y = 1/(x + C) a solution to y' = -y^2?

A: To solve the following differential equation.

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

A:

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

A:

Q: Is it true that the solution set for x ≥ 0 is placed above the y – axis?

A:

Q: Find the general solution for y' = y – xy³e-2x

A:

Q: Find General Solution of y" + y" = 0.

A: Given the differential equation is y"' + y" = 0. Here the auxiliary equation is m3 + m2  = 0

Q: Find the general solution of y" - 4y/ + 4y = .

A: