2. (D² – 6D + 9)y = e3x %3D

Q: y" – 3y' + 2y = 2x² + e* + 2xe* + 4e3x

A: Given

Q: Q2/ Solve the following differential equation :- x?y" – 2xy' + 2y = xlnx, y(1) = 1: y'(1) = 0

A:

Q: Q2: Solve the following differential equation in two ways. (2xy+x²)dx + (x² + y² )dy = 0

A:

Q: solve the differential equation p2-7p+12=0,wherevp =dy/dx

A: First solve the given quadratic in p i.e. p2-7p+12=0 by splitting the middle term in such a way that…

Q: Solve the following differential equation. y" – 6y = 9r + 12

A: To solve the differential equation

Q: Solve the following differential equation y'(t) = 6t² – 4t – 3, y(-1) = 1

A: The given differential equation is, y't=6t2-4t-3 The initial condition is, y-1=1. Solve the…

Q: Find the solution of the following differential equation. 4. 2a* y' = y (y² +3x²)

A: To find  The solution of the given differential equation.

Q: D² + 6D + 9) y 16e-3z x2+1 =

A: Given that,

Q: y"- 4y'+ 8y= (x²+4x)em %3D

A:

Q: Solve the following differential equation y +2 = e2x+y+7 Files

A: Solve the following differential equation by finding integrating factor

Q: Q2: Solve the following differential equation in two ways. (2xy + x ^ 2) * d * x + (x ^ 2 + y ^ 2) *…

A: 1) method 1

Q: Q2. Solve the following differential equation by variation of parameters: d²y x3 dx² +6x³. dy dx -3x…

A: Sol

Q: 4. Зx2 + — 8(у + 1) %3D 0 x3 dy y+1

A:

Q: Find the differential equation having the solution as of the following b. (x – r)? + y? = r²

A:

Q: Q3) Solve the following differential equation y" - y" - 4 y' - 6 0

A:

Q: Solve the differential equation (D2+5D+4)y=2 sn ax

A: The given differential equation is   (D2+5D+4)y=2 sin(ax)

Q: Solve the following differential equation by using method variation of parameters.    y'' + y' - 6y…

A:

Q: (D² - 6D+9)y = 0

A:

Q: y'- 8y'+ 2y =(x't 82) eex

A:

Q: Q3 Solve the following differential equations xy' +y = e* +1 а.

A:

Q: + 2y = r*; y(2) = 1. %3! dr

A: Given equation is first order linear differential equation.

Q: (D² – 1)y = x²e*

A:

Q: -2t (1+t)y +4ty = 16e

A:

Q: Solve the following differential equation (D3 + 6D2 + 11D + 6)y = 0 %3D

A:

Q: Solve the following differential equation 1 y" + 4y = -2, = 2 8

A:

Q: Solve the following differential equation y" + 3y' + 2y = 4e2' , when y(0) = 0 and y'(0) = 1

A:

Q: бх- Зу+ 2) фх -(2х-у-1) dу%3D0

A:

Q: Solve the following differential equation by using variation parameters method: y" + 6y' + 9y 2 +…

A: According to the given information, it is required to solve the differential equation using…

Q: Solve the following linear differential equation y(6) – 64y = 0 %3D -

A:

Q: Q4: Solve the given differential equation. (non-liner DE) y" = 1+ (y')²

A: We have to solve given differential equation:

Q: Q1/ Solve the differential equation by Undetermined coefficients. d²y dy 1- -3- e3x + 12x %3D dx2 dx

A:

Q: 1 10) y" +3y+2y = 1+e"

A:

Q: a) Solve the following differential equation &y dªy 8- + 16y = 9e2 dx4 dr? by using the method of…

A:

Q: Q4: Solve the following exact differential equation: 2xydx + (1 + x2)dy = 0

A:

Q: 10. y(2x3 -x?y + y³)dx - x(2x³ + y³ )dy = 0

A:

Q: solve the following differential equation y' + (8/x) y = x6 y4

A:

Q: 6) y' = 2x-3y+4 x+y+2

A: Differential equation

Q: Solve the following differential equation by using variation parameters method: y" + 6y' + 9y = 5 +…

A: The given differential equation is First, find the complementary function of the given differential…

Q: Q3) Convert the following into an exact differential equations and explain the calculation steps by…

A:

Q: Solve the following differential equation (x²+y²)y' = xy Select one: a. x2 = 2ylncy? b. x? = 2y?Incy…

A: Given: To  explain the correct option given statement as follows, Then the given the differential…

Q: Solve the following differential equation y" - 8y'+ 25y = 0

A: Given: y''-8y'+25y=0

Q: Q3: Solve the following differential equation by using Variable Separable Method: (y² +1) ecosx y²…

A: Topic = Differential equation

Q: 4. 2a y' = y (y² + 3x²)

A: Given:- 2x3y' = y(y2+3x2)  To find:- General solution of given differential equation

Q: Q6/ Solve the following differential equation dy In y + dx In x + y

A:

Q: 5. (4x'y- 15х? - у )ӑx +x* +3у - х)dy-0

A: Differential Equation is              4x3y-15x2-ydx+x4+3y2-xdy      It is of the form Mdx+Ndy=0…

Q: 2. y' + xy = xy

A: Find your answer below

Q: (D³ + 3D2 – 4D – 12)y = 0

A:

Q: Q3: Solve the following differential equation : y" + 4y' + 4y = 8e-2x,

A:

Q: Q3: Solve the following differential equation : y" + 4y' + 4y = 8e-2*

A: We have to solve the differential equation.

Q: Solve the following differential equation Y^2 + x^2p^2 - 2xyp=4/p^2

A: