Find the solution (4D2 - 4D + 1)y = 0 when x = 0,y = -2, y' = 2 %3D a. y = 4e b. y = -4e C. y = 2e d. y = -2e e. none of these

Q: 6. Find the solution of 1 dy + y = da 3+ e

A: Given dydx+y=13+ex

Q: . The implicit solution of the DE (3x2y + 2xy3 + x4)dx + (x3 + 3x2y2 + 2y)dy = 0 2. Find the…

A: See the attachment

Q: B3. Find the integrating factor by inspection then solve.  ydx + (x + x4y2)dy = 0

A: Let's solve given diffrential equation.

Q: Find the explicit particular solution of the initial value problem given. dy/dx = ye^7x, y(0) = 9e

A:

Q: Solve the given initial-value problem. dx yx - x = 4y², x(8) = 1 dy 255 x(y) = 41²_ y Give the…

A:

Q: 47. Solve for the general solution of (5x+3y-4) dx+(x+y-2) dy=0. a. 5x2 + 4xy + y? = C b. 4x? + 5xy…

A:

Q: y=A + Cx is the general solution of the exact DEQ: y - xy' = 82. Determine A.

A: A differential equation is an equation in x,y and derivatives of y. A first order differential…

Q: Let y = y(x) be the solution to the initial value problem dy _ y? + x/x² + y? (x > 0); y(1) = V3. dx…

A:

Q: Let y = y(x) be the solution to the initial value problem %3D y? + x /x? + y? (x > 0); y(1) = V3. dx…

A:

Q: How can we solve this separable equation? N(y) * dy/dx = M(x)

A: The given differential equation is, Where, N(y) and M(x) are the functions of the variable y alone…

Q: dy 3x? and y(1) = 2, then the particular solution y(x) is 14. If ey dx A. y = In x3 + 2 B. y =…

A: We can solve this problem using variable separable method.

Q: Solve the initial value problem. dy _ Y = 8x e*, y(1)=8 e +9 dx The solution is y(x) =|

A: The differential of the form  dydx+pxy=qx is first order linear differential equation .The general…

Q: Determine the solution for this DE 2xy dx - (3xy +2y^2)dy = 0

A:

Q: Find the solution. dy -+y= dx 1+e y = ce+e "*In(1+e") B y = ce"+e*In (1+ e*) y = ce -e *In(1-e") ye'…

A:

Q: 4- Solution of the following equation 4xy²dx + (x² + 1)dy = 0 is

A:

Q: y"+ 3y= 18x?c*, 6 yol=1, y'l0)=1 Find the solution Yo the initial value problen

A: Let the operator D≡ddx so the differential equation can be written as: D2+9y=18x2e3x+6

Q: pproximate using differentation:  e0.99 Please show step by step solution.

A: This question can be solved using the concept of approximation using derivatives.

Q: Solve for the integrating factor of the D.E 2 (y - 4x²)dx + xdy 0. %3D Choices: А. х3 B. X С. x D.…

A: The equation is given by: 2y-4x2dx+xdy=0xdy=24x2-ydxdydx=24x2-yxdydx=8x-2yxdydx+2xy=8x Compare with…

Q: dy 64). y(ln 4) = 0 31S = 3 e 3tsin (e 3t - dt The solution is y=

A: Integration both side and applying initial conditions then we can find its solution

Q: Solve the initial value problem. dy y = 7x e*, y(1) = 7 e - 7 %3D - dx The solution is y(x) =

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with   so here we have

Q: Using the method of undetermined coefficients, write the form of the assumed particular solution for…

A: Given: y"+2y'+y=x2e-x Auxiliary equation are,  m2+2m+1=0 (m+1)2=0 m=-1,-1

Q: 2. (y Iny – e-*y) dx + +x In y ) dy = 0 y |

A: The given equation is not exact because ∂M∂y≠∂N∂x.

Q: Solve the initial value problem. dy y dx e*, y(1) = 8 e +9 The solution is y(x) = 8x e* + 9

A: Integrating Factor: The Integrating factor of the differential equation y’ + Py = Q is given by,…

Q: Solve y' + 4y/x - x³ y? = 0 12 Find the general solution. What is the integrating factor?

A:

Q: 2. Obtain the particular solution when x = 1 and y = 1 y(? - y? + 1) dx – x(x² - y? - 1) dy = xlx? -…

A: Here is the solution of the given differential equation.

Q: Given the initial condition y(1) = 4, what is the particular solution of the equation = Y Vx²+3 :?…

A: Option C is corect...

Q: The solution of D.E " -y = 5(t – 1) ,y(0) = 0,y'(0) = 0

A:

Q: Given fe""dx = --e"3* Given [el-2)dx =--e"-2*) +c. Su;

A: Taking substirution method we have

Q: Solve the given initial-value problem. dx - 3у?, х(6) %3D1 y X = dy x(y) = Give the largest interval…

A:

Q: Q1 – Find dy / dx for the following functions : e0 -2 2.8ln2 Y= 4 6 * sinh 9x * Inxy sino log2 2 Q2-…

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

Q: 5. ye2*dx = (4+e2*)dy

A:

Q: xy dx + e* dy = 0 er?

A:

Q: dx 4e2a -8e+5 e

A: We want to find the integral.

Q: Find all antiderivatives for dP = 24 - 4x. dx P(x) + C.

A: The given equation is dPdx=24-4x.

Q: (8) 2xy = x2 + 2y² = x² dx

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Given (E1): y(x –- 5)dx – x²dy = 0, with y(1) = 1. The solution of the following IVP (E1), by…

A: As per guideline we have to solve only one

Q: Find the solution. dy - +y= dx 1 1+e* A y = ce*+e*In (1+e*) B y = ce¯ - e -*In(1-e*) (© y =…

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

Q: solve the given difference equation in terms of the initial value y0. Describe the behavior of the…

A: Given differential equation is, yn+1=-0.9yn

Q: xye* - y?e*? у (2х2 — ху + 1)dx + (х — у)dу %3D 0 - a. xye** – y²e** = C b.xye** – 2y²e* = C C.…

A: It is some time  difficult to find integrating factor by inspection, some manipulation and…

Q: Solve this equation y"+ 2y + 2y = e-t where y(0) = 0 and y'(0) = 0? %3D

A:

Q: -2Y 1) e ** dx-e dy =0; y=0 when x=0

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: Given (E1): y(x – 5)dx – x²dy = 0, with y(1) = 1. The solution of the following IVP (E1), by…

A:

Q: y" – y = 5sin²(x); when y(0) = 2,y'(0) = -4 %D %3D

A:

Q: A mixture of calcium oxide, Cao, and calcium carbonate, CaCO 3, that had a mass of 3.454 g was…

A: This question is based on given following equation.

Q: A particular solution of y-2y +y=e': Select one: a. At e b. Ate C. At?e' d. Ae' OO Shot by Hisense…

A:

Q: Find the solution for the following ODE; y2 - y' = 0 with the initial condition  y(6) = 3 What is…

A:

Q: dy To solve a first order linear equation + P(x)y=Q(x), one can multiply both sides by dx dy 1 an…

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: hesaplayınız. [If the solution of the following initial value problem is y(x), find y(5)]. S 5xy' –…

A: Given: 5xy'-5y=10x,y(1)=6 A first order Linear equation is of the form: y'x+pxy=qx y'-12y=2…

Q: ,2 xy´ + y = x²?

A: the given equation is xy'+y=x2 rewrite y'+1xy=1xx2y'+1xy=x the given equation is of the form…

Q: Find L ft ={fe',01 el-s -1 b. 1-s e -1 et -1 а. 1-s C. 1+s e- -1 d. 1-s

A: