Solve the given DE. (D³ + D² + D+ 1) y = 0 ; y (0) = 2, y' (0) = 2, y" (0) = -4

Q: The general solution of the given differential d3y equation - 3 d2y +3 dy - 1 = 0 is dx3 dx2 dx

A: Given DE is d3ydx3-3d2ydx2+3dydx-1=0 find the solution of the given DE lets write the given DE is…

Q: dy .Solve the initial value problem +2y=e", y(0) =-1. dx

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Q: Solve for the initial-value problem. d?y - 4y = 2u(t), y(0) = 1, y'(0) = -2 - dt2

A: We will find out the required solution.

Q: Solve the initial value problem x2 dy/dx - 2xy=3y4, y(1)=1/2.

A: Solve the initial value problem x2 dy/dx - 2xy=3y4, y(1)=1/2.

Q: dy xe*- dx -In y Solve the initial value problem , y(0)=1. 6.2

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Q: dy - Find the solution of the initial value problem xe*+», y(0) = 0. dx

A: We are given an Initial Value Problem (IVP) dy/dx = x ex+y with the initial condition y(0)=0. We…

Q: Given the initial condition y(0) = 1, find the particular solution of the equation

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Q: The differential equation of y = 35Ax – 8B is %3D - dy dx 35 %3D dy da %3D dy da? dy dz2 = 8

A: We can find the differential equation as below

Q: (c) Obtain the solution of the differential equation, dy x-y = x2 dx when x = 1 and y = 1.

A: See the attachment

Q: 1. Solve the nonlinear equation x - 5 y? dy dx

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Q: Solve the differential equation (D - D + 3D² + 5D) y = 0 ; y(0) = 2, yr(0) = -2, y1(0) = 4, yl(0) =…

A: We can solve this using ordinary differential equation

Q: The differential equation of y = Acos(8x + B) by eliminating arbitrary constants A and B is = 8y +…

A: here option B is true

Q: dy =x(y2 +1), y(0)%3D0 %3D dx

A: We have to find solutions

Q: dy – xy = x, y(0) = 2 ху —D У (0) %3D2 dx

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Q: dy - y = xy2 dx

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Q: 21. dy 2xy = 3y, y(1) = } dx

A: First we convert the given Bernoulli differential equation into linear differential equation, after…

Q: The differential equation d²y +72 + 6y = 0 has auxiliary equation dæ? dx with roots

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Q: Find the solution of the initial value problem dy/dx=27e^6x_3y ,y(0)=0

A: This is a problem related to differential equation. Based on the integrating factor formula we will…

Q: Consider the differential equation d'y dy dx² dx -6y = 0. Enter either of the solutions of the…

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Q: Find the solution of the given initial value problem- dy y = xe", y(1) = e - 1, x > 1 dx

A: The given initial value problem is  dydx-yx=xex, y1=e-1. Find the solution of the initial value…

Q: find the initial value problem dy/dx = e^2, y(0)=2

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Q: dy + xy = xe*/² , y(0) = 1. dx 7. Solve the initial-value problem:

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

Q: Solve the given initial-value problem. dy 3D х+ 4y, у(0) %3D 6 dx y(x) =

A: Given that dydx=x+4y , and y(0)=6We need to find the solution of above differential equation.

Q: Solve the initial value problem. dy + 7xy = 4x, y(0) = - 6 dx y =D

A: Given : Now,

Q: Solve the given initial value problem by using the method of exactness.  xy dx+(2x2+3y2-20)dy=0,…

A: First identify M and N and check that the differential equation is exact.

Q: Solve the initial-value problem using the undetermined coefficients at the condition, y(0) = 2,…

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Q: dy Solve the differential equation = dx = -5x√y. √y = -5x² + Cor y = 0 √y = -5x² + Cor y = 0 2 √y =…

A: Here is the solution:

Q: dx Solve the first order homogenous equation ху dy 2y – x²

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Q: Find the solution of the initial value problem in explicit form: dy 7+ 12x x > 0, y(1) = 4 dx xy?

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Q: Find an explicit solution to the initial value problem dy/dx = 2xy +3y, y(0) = -2

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Q: Given the differential equation Tip dx *-1, find the particular solution, y = f(x), 3y with the…

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Q: The differential equation - 4ry? + 2ry + (- 4x?y + la? dy 5) dx Has solutions of form F(x, y) = c…

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Q: . Solve the given initial-value problem. (Exact Equation) (x + y)² dx + (2xy + x² – 1) dy = 0, y(1)…

A: Given : (x+y)²dx+(2xy+x²-1)dy=0 ; y(1) =1 To find : General solution of given DE

Q: Solve the given initial-value problem. dx y = 5y², x(9) = 1 dy

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Q: Solve using separable differential equations dy — 8x3е 2у, when x %3D 1, у %3D 0 dx = 1, y = 0 ||

A: In this question we have to find the differential equation.

Q: Find an explicit solution of the given initial-value problem. dy/dx = y2-1/x2-1 , y(8) = 8

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Q: Determine whether the equation (ye™y . 1 - =)dx + (xe®Y + y2 is exact. If so, solve the initial…

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Q: Solve the initial value problem: (e + y) dx + (2 +x + ye") dy = 0, y(0) = 1

A: We have to solve the initial value problem…

Q: Solve the initial value problem. dy + 5xy = 8x, y(0) = - 6 dx y =

A: topic - differential equations

Q: Solve the initial value problem. Y 6 dy dx 2xy = 8x, y(0) = 5

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Q: Solve the given higher order linear differential equation. d³y +2dy – 5 – 6y = 0 — бу %3D0 dx - dx3…

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Q: dy 6. Solve the initial value problem y(0) = –2. %3D - dx

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Q: Solve the Initial value problem:   dy/dx= ((2y)/x) - 1 , y(1)=3

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Q: Solve the equation (4y+2x– 5)dx + (6y +4x– 1)dy = 0 subject to the initial condition y(-1)= 2.

A: Consider a first order linear homogenous differential equation of the form, Pdx+Qdy=0→1 where P=fx,y…

Q: Solve the initial value problem dy/dx=(x+y+1)2-(x+y-1)2  where y(0)=1/2

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Q: dx dy dx dy Use elimination to solve: + = e'; -= *+

A: