Y= 2x +3 3x² - 2x

Q: Solve d4y/dx4= 5x by variation of parameters.

A: The answer is given as follows.

Q: D. y" + y' - 3y = 4sin 2x

A:

Q: Solve (D-4) x - y = 0 - 6x + (D+1) Y = 0

A:

Q: solve for x and y. y= 2/3x -2 y= -x + 3

A: Solution: The given two equations are

Q: Solve for x and y simultaneously: x-2y -3 and y320

A:

Q: f(x) = x²e-3*,

A:

Q: (x3-2x2+1)dx (x2-2x+5)2

A: Let I=∫x3-2x2+1x2-2x+52dxx3-2x2+1x2-2x+52=a1x+a0x2-2x+5+a3x+a2x2-2x+52Multiply equation by the…

Q: x²dydx 2. Solve: S x²+y²

A:

Q: solve (D2+5D+6)y=ex

A:

Q: Solve y'+ 2x²y = x?

A:

Q: (2x-1) dx 3 2x²³ -x²-27x +36 f

A: We can evaluate the given integral by using the method of partial fraction.

Q: . Use variation of parameters to solve 4y" + 36y = csc(3x).

A:

Q: Find all solutions of y'= 3y. Which solution satisfies y(0) = 9?

A: Given differential equation is y'=3y. To find all solutions of y'=3y which satisfies y0=9. Solution:…

Q: Solve: a3z + 4. дхду? a3z a3z 4 dx²əy əx3

A:

Q: Solve (D2+5D+6)y=ex

A:

Q: Use method of variation of parameters to solve y" + 7y' +12y = xe Ax. -4x

A: y''+7y'+12y=xe-4x find roots for the homogeneous system r2+7r+12=0 r2+3r+4r+12=0 rr+3+4r+3=0…

Q: solve the differenctil equation by undtermeind coefficients y'' +2y = -18x2e2x   y(x) = ?

A:

Q: Solve using method of undetermined coefficients: y" + y' - 2y = x². %3D

A: Solution :-

Q: Solve for Z. X= (Y-Z) 3

A: Given: X=23Y-Z We have to solve for Z.

Q: solve by bernoulli y' + (8/x)y = x6y4

A: We will find out the required general solution for given Bernoulli's equation.

Q: xy' + y + 2y' - xsinx = 2sinx

A:

Q: Solve for y X2 =9e?y

A: Given: x2=9e2y As we know that the exponent rule: lnm=x⇔m=ex So, we can also write as:…

Q: 2 -1 2 2.

A:

Q: Solve: f"(x)= 8x², f'(0)= 3 and f(1)= 6 %3D

A:

Q: Solve y < 2 graphically.

A: To solve the inequality y<2 graphically, first plot the line y=2 by finding some points on the…

Q: Solve by Substitution 7) x-y3D3 5x+8y=-24

A: Given : x-y = 35x+8y = -24

Q: Y= (10x; + x, } (5x, + x}} 15

A: We have to differentiate partially to this equation:

Q: solve using variation of parameters: x''-6x'+9x=e^(3t)/t^2

A: The order of the differential equation is the highest order derivative present in the equation. The…

Q: az Solve (x² – y² - z²)p + (2xy) q = 2xz where p = əz II

A:

Q: solve in R the inequation Vx +4 < x + 2

A:

Q: ปืน น g-x) (2+x) (4x - 42.Sou 1-2

A: Given:        π∫-228-x2-2+x2dx     =π∫-2264+x2-16x-4+x4+4x2dx     =π∫-2264+x2-16x-4+x4+4x2dx…

Q: Solve the equation for x: x2 -xy=2y2

A:

Q: Solve for x and y: x- 2y = 3 and 4x2 - 5xy = 3 - 6y

A:

Q: Use the method of separation of variables to solve yu, + xu, = xyu , U(x,0) = 3e*

A: In this question, we solve the partial differential equation by using the separation of variable as…

Q: y = (2x₁³ - 6) 9 3 Find day 3 dx²

A:

Q: Vx – 3Vx – 4 = 0

A:

Q: Solve by finding rref form x+2y+z=6 2x-z=4 y-4z=2

A:

Q: Solve, using the method of variation of parameters: et y" – 2y' + y = - 1+x²

A:

Q: Solve x'y-5xy+13y-0

A:

Q: does it have? y Solutions

A:

Q: Solve for the general solution: y' – 5y = x³e*

A:

Q: f(x) = 2 – 2x + x?

A:

Q: 2.X2 X7+X? Z =

A: Introduction: Here, X1, X2, and X3, are standard normal variables, as each has a normal distribution…

Q: solve for y. 9e2y = x2

A: Our Aim is to solve the given equation below:-9e2y=x2 -(i)

Q: Find the value of x that will make A||B. A 2x + 5 3x-2 X = [?]

A:

Q: Use variation of parameters to solve y'' - 7y' +10y= e^2x.

A:

Q: D. Solve dx2 from the following 1. y = 8x* – 12 x + 6x² – 9 2. y= (4x-9)²

A: d2ydx2 =ddx(dydx)  is called the double derivative of y→dxndx = nxn-1.→d(constant term)dx = 0

Q: С. The possible x and y intercepts of x+3 y=- x² +6x+9 O -3, попе,

A: Given y=x+3x2+6x+9

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.