What is the particular solution for y′=−6x+3 that passes through the point (−4,−8)? Do not include "y=" in your answer.

Q: Is y = e-x + 2xe-* a solution to y" + 2y' + y = 0.

A:

Q: Find the general solution of the DE: y"+y' + 2y = 0

A:

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

A:

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

A:

Q: у" + 2y' +y = 4e' ¬x

A:

Q: Show that y = 5x2 + 2 is a solution to the DE xy' +(2)/(5) y" = 2y.

A: To show: y=5 x2+2 is a solution of differential equation xy'+25y''=2y

Q: What is the general solution of 3 (3z + y') dz – 2zydy = 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: Use undetermined coefficients to find the particular solution to y''−4y=2e^−3t

A: Use undetermined coefficients to find the particular solution toy''−4y=2e^−3t

Q: Solve second order DE y" - 4y' + 4 = 0

A:

Q: What is the value of the arbitrary constant C if the given DE is y' = 2(2x – y) which passes through…

A:

Q: Find a second solution to 4x²y" +y = 0, given one solution y1(x) = x!/² In x.

A: Given differential equation 4x2y''+y=0.....1 And given one solution is y1x=x12lnx Equation (1) can…

Q: Use undetermined coefficients to find the particular solution to y'' - y = 4e t Y(t) =

A:

Q: What is the solution of y2 - x2y'=0 with IVP y(1)=1/2 ?

A:

Q: Find the particular solution of y''-5y'=x-2 when x=0, y=0, y'=2

A: Given that that a non homogeneous differential equation and we find its solution.   Here i attached…

Q: 2xyy' 1+ y2 What is the general solution?

A: The solution is given as

Q: Find the general solution y" – 6y'+9y=x*e*

A:

Q: A Q2 Show that y=x+ is the solution of 3x – x = x+ y. dy dx

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: Find the particular solution of the DE y''-11y'+24y=0 when y(0)=2 y'(0)=-3

A:

Q: Check that y Cx) = e* is the Solution of y" + y' - 2y = 0

A:

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

A:

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

A:

Q: 8x²y" + 10xy' – (1+x)y = 0

A:

Q: 4. Find for the particular solution of y' = x3 – 2xy when x = 1, y = 2 x2 а у 2e + 2 - ex2 b. y =+…

A: The given differential equation is:y'=x3-2xywhich can be written asdydx+2xy=x3which is a first order…

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

A:

Q: Solve the equation below for y. 3x + 4y= -8 Oy =+2 Oy = --2 Oy=-+2 « Previous

A: To solve the equation for y.

Q: Find the particular solution: y" + 16y' = 0, when x = 0, y = 0, y' = 0, y" = 1

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

A:

Q: The equation y3 = 3Bx is the general solution of 3y Oy Oy 3xy Ou' = 3y

A: We will form the differential equation using given solution

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

A:

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

A: We need to factorize this equation to find the solution.

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

A:

Q: What is the particular solution of 2xyy' = 1+y2 , when x =2, y = 3

A: The given differential equation is solved below in detail.

Q: .3 t +y3

A: Derivative is below

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

A:

Q: What value(s) of k in the equation y = ekx will satisfy the equation y + y' = y"?

A:

Q: Find the general Solution of the diff. equ- x*y" +zxy-2y=D0 ?

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

A: To solve the following differential equation.

Q: Find the general solution of (x³ + 2y4)y' = 3yx² in implicit form f(x, y) = c. When y(0) = 1, what…

A: We have to solve the differential equation

Q: Find general solution of the DE 4x2y′′ + 8xy′ + y = 0

A: Consider the given equation. 4x2y''+8xy'+y=0 Let substitute the value is y=xm. Now, find the…

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

A:

Q: What is the general solution to y''+y=0. Show the solution.

A:

Q: Use variation of parameters to find the general solution of y" – 2y' + 5y = e'.

A:

Q: Obtain the general solution valid near the origin: 8x?y" +10xy' -(1+x)y=0

A: Power series solution of the differential equation