y(4) — у" 3 4х + 2хe *

Q: Find the particular solution for the differential equation y' = 4xe2x and y(0)=20.

A:

Q: Given the solution:  y = C1e-2x + C2e2x + x2  Which differential equation is it a solution of?

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Q: solve the differential equation 2y' - y = xex/2

A:

Q: Solve the differential equation y'=(3x+3y-1)^2. Use the substitution u=3x+3y-1

A: The given differential equation is

Q: 7. 2yy = e-: y(4) =-2

A:

Q: b).Solve the differential equation - 22 - 3y = 4x – 5 + 6xe²× by method of undetermined coeficients.

A:

Q: find the solution of differential equation x²y' = xy + x²ex

A:

Q: Find a differential equation whose general solution is y = c₁e³t+c₂e-3t 5t = 0

A: The general solution,y=c1e5t+c2e-3t

Q: Obtain the differential equations satisfied by the given puiiicular solution 4. y = e3x- 5e - 1 5. y…

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Q: Solve the differential equation y′′ - 3y′ + 2y = ex - e2x

A:

Q: A solution for the differential equation is y = Pe-3x/2 + Qe-x/2.

A: Here P and Q are two Arbitary constant ,so the heighest order of the differential equation is 2.

Q: Find a differential equation whose general solution is y = c₁e³t+c₂e-2t 2 = 0

A: We need to determine a differential equation corresponding to the general solution: y=c1e5t+c2e-2t.

Q: Solve the given differential equation by undetermined coefficients. y" - y' = -7 y(x) :

A:

Q: Find the particular solution for the differential equation y' 4xe2x and y(0) =20.

A: Given that a differential equation and we find its particular solution . and also given that a…

Q: 2. Solve the differential equation y" + 3y csc V3x

A:

Q: y' = 2x – 3xy

A:

Q: y' + 6y = 4e4x

A: Differential equation is an equation that relates one or more functions and their derivatives.  The…

Q: Solve the differential equation y" - 9y2e³x using Undetermined Coefficients. Clearly state yes Yp,…

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Q: y' + 5xey = 0

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Q: Solve the given differential equation by undetermined coefficients. y"+2y=-18x²2x

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Q: 16. х" — 7x'— 51 — 3.

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Q: Solve the differential equation by undetermined coefficients y" – y' = -3 а.

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Q: Solve the differential equation by variation of parameters y''' + 5y'' -2y' -24y = 5 + 4*exp(2x)

A:

Q: Formulate a differential equation that is satisfied by 1. y=Ae2+ Bxe²r

A: To find: The differential equation: Given: The equation is y=Ae2x+Bxe2x. Concept used: Product rule:…

Q: у" — Зу" + Зу' — у %3D х — 4е* -

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

Q: Find a differential equation whose general solution is 9t y = c₁e⁹t + c₂e-²t = 0

A:

Q: y" – 5y' + 6y = -3Sin (2x)

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Q: Solve this first order linear differential equation:  y'-3x2y=ex^3

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Q: Solve the given differential equation by undetermined coefficients. y" + 6y = -294x²e6x y(x) =

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Q: Find the general or Special Solution to the differential equation 2 y = (x-y₁²

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Q: Find a differential equation whose general solution is 9t = C₁e⁹t + c₂e-5t. y = = 0

A:

Q: Solve the given differential equation by undetermined coefficients. y" + 6y = -294x²e6x y(x) :

A: Given differential equation is y''+6y=−294x2e6x........1. We have to find the solution of the given…

Q: Solve the given differential equation by undetermined coefficients. y" + 2y = -18x2²x y(x) =

A:

Q: solve the given differential equation by undetermined coefficients. y"+3y=-48x2e3x

A: Answer and explanation is given below

Q: Solve the given differential equation by undetermined coefficients. y" + 2y'=2x+9-e-2x

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Q: Solve the differential equation y2 − 3x dydx = 6.

A: follow the next step

Q: Solve the differential equation. y' + 5xeY = 0

A:

Q: 6, find the general solution of the given differential equation: y" - 5y + 4y = 2et (

A:

Q: Solve the given differential equation by undetermined coefficients. y" + 2y = -18x²e²x

A: Given the differential equation is y''+2y=-18x2e2x

Q: Find a differential equation whose general solution is y = c₁e5t + c₂e-²t. = 0

A:

Q: Solve the given differential equation by undetermined coefficients. y"+ 6y = -294x²e6x %3D

A: To solve y''+6y=-294x2e6x

Q: Find a differential equation whose general solution is 7t y = c₁e²t + c₂e-5t = 0

A:

Q: y = C,e3x csc3x + 2C2e-2x sin3x + Cze* tan3x —2х

A:

Q: Solve the given differential equation by undetermined coefficients. y" + 2y = - 18x²e2x y(x) =

A:

Q: a. y = Ae-3x + Be2* . Derive the differential equation by eliminating the constants

A: here we have to go differentiating and substituting

Q: Solve the differential equation by undetemined coefficients y" – y' = -3

A: Solution- Given y''-y'=-3 ⇒dy2dx2-dydx=-3-----(1) dydx=m ⇒m2-m=0⇒m(m-1)=0m=0, m-1=0≠m=1 Distinct…

Q: Solve the given differential equation by undetermined coefficients. y" + 6y = -294x²e6x ||

A:

Q: Solve the given differential equation by undetermined coefficients. y" + y" = 8x2 y(x) = %3!

A: The solution is given as

Q: Find a differential equation whose general solution is 6t y = c₁et + c₂e -3t = 0

A: We find a differential equation whose general solution is y=c1e6t+c2e-3t.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.