Find the general solution of (1) yV – 2y" + y" = 24x² + 12x +8

Q: 1 Find the general form of solution of the first order equation U + 2u, = (x – 2t)u + 2t2 + 3tx -…

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Q: 4. Solve the particular solution of y" + 3y' + 2y = 6e¬, y(0) = 1, y'(0) = 2, using a. Variation of…

A: we have given the differential equation y"+3y'+2y=6e-ty(0) = 1, y'(0) =2 we have to find the…

Q: A. Find the general solution of the DE: y" - 2y' +y = 6e'

A: Given A. y"-2y'+y=6et

Q: 9. Find the particular solution of y" - 2y' + 5y = 0 y(0) = 1 and y'(0) = -2. An

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

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Q: 3) Find the particular solution of the DE y" = 12x² if y(0) = 1 and y'(0) = 2.

A: This is a problem related to differential equation. Please follow the procedure given below.

Q: The solution of y2 – x²y' = 0 with IVP (1)= . is given by y(x) = 1+x 1 y(x) = 1+x 1 y(x) = 1+ x2 (x)…

A: Given initial value problem y2-x2y'=0    ; y(1)=12

Q: Find the general Solution of DES: x yy'= x +3y

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

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Q: Find a particular solution to y" + 4y + 3y = -8te". %3D Yp

A: Given differential equation is  y"+4y'+3y=-8te2t

Q: Find the solution of the initial value problem. 2y" - Зу' + у%3D0, у(0) %3D 2, y'(0) =

A: Here first we write an auxiliary equation of a given differential equation then  finding roots of…

Q: Solve the initial value problem y" + 4y' + 4y = 0, y(-1) = 4, %3D y(-1) = 3.

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Q: If y is a solution of y"+xy'+3y =0 then find the

A: Find y' and y'' from the equation y=∑m=0∞ amxm .                                       y'=∑m=0∞…

Q: yV + 2y" + y" = re=*

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Q: Use the Method of Undetermined Coefficients to solve the Initial Value Problem y" + 2y'+ y = 3t ,…

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system the auxiliary…

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 homogenous, particular and the general solution of y" + 4y' + 3y = 20e-3t

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Q: Find the complete solution of: y" + 4y' + 3y = e with y(0)=1 & y'(0)=0 4.

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Q: What is the general solution of xydx−(x2+3y2)dy=0

A: Topic :- Differential equation

Q: Find the general solution to xy′′−3y′=0.

A: We have to find the general solution of the given differential equation.

Q: I Find a particular solution to y" + 4y' + 3y = 3te*. %3D Yp =

A: Solution:-

Q: The general solution of the DE: -y = 1 is y= x(x + c)

A: given,1xy'-1x2y=1multiplying throughout by x we gety'-1xy=xnow, integrating factor μ(x) is given…

Q: Q1: Find the general solution of the y - 4y - 5y = 2sin2 x

A: Given differential equation is y''−4y'−5y=2sin2x. We have to find the general solution of the given…

Q: Solve the initial value problem y"+2y'-5y = 4e¯2* -1 y(0) = 1, y'(0) =1

A: First solve the given differential problem and the apply the initial Condition:   The given equation…

Q: 3. Solve y' = , with initial condition y(1) = 0. y2 – 1 x3

A: It is given that the differential equation dydx=y2-1x3. Using variable and separable method to…

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

A: Explanation of the answer is as follows

Q: 2. Solve y' = 2x(x² – y), with initial condition y(0) = 1. -

A: This is first order linear differential equation

Q: Find the general Solution of DES x y = xy +y

A: Given:    x2y' = xy + y2

Q: Find the general solution to the DE y"-4y'+13y=0

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Q: Find the General and Particular solution of = 3y ; y = 3, when x = 0

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Q: 4. Solve the IVP y' = 2x-3y +e¯* y'= 2x- 3 y +e * with y(0) = 1 y(0)= 1

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Q: 7. Find the solution of the IVP: y" + y' – 2y = 4t, y(0) = 1,y'(0) = 2 using method of undetermined…

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Q: ) Solve the initial value problem y" + 4y' + 4y = 8xe-2 where y(0) = 1 and y'(0) = -2.

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Q: 6. Use undetermined coefficients to find a general solution of -2x y" + 5y' + 6y = 3e¬2= +e3z

A: The given differential equation is y''+5y'+6y=3e-2x+e3x

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

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Q: Find the particular solution of xy' – 2y = -x ; when x y = 5 1,

A: Recall: Consider the first differential equation                           dydx +P(x) y =Q(x)…

Q: Solve the initial value problem y'=x^2-4x+3-6e^x, y(0)=8

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Q: (b) Solve y" + y = 0, y(0) = 3, y(1) = -3 by using finite-difference method with h = 0.2.

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

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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: 4. Find the general solution of (x3 + y³) dx = 3xy² dy = Cx = Cx А. -Зx3 + 2yз В. 7x3 + 2у3 С. -бх3…

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Q: 5. The particular solution of y' + y = y¯² when x = 0,y = 2 is

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Q: Find the general solution of the DE y" + 4y + 4y = e²x

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Q: Find the general solution of y" + 10y + 25y = e-5x using method of undetermined coefficients.

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

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Q: The particular solution of (2x+3)y'=y+ (2x+3) ¹/2 ; y ( − 1) = 0 using LDE is A B C D -2y=√√2x +3 In…

A: Please see the below picture for detailed solution.

Q: 2. Solve the initial value problem -2x y"+2y'-5y = 4e * –1, y(0) =1, y'(0) = 1

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Q: Find the general solution of y"+25y=sec(5x)

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