5x+y35x+y3 for x=4x=4 and y=1y=1

Q: y" +y' – 2y = 4e* – 2x

A: We have the given differential equation is y''+y'-2y=4e-x-2x2     …..(1) The auxiliary equation for…

Q: 8. Find YZ. X 11x + 1 W Y 19x – 31

A: In Your Question The Figure is Parallelogram . So  WX = YZ

Q: 4x+2y = 10 x-y-13 0

A:

Q: y" + 2y' – 15y = e3x %3D

A: We find particular integral by inverse operator

Q: 36x-8y^2 where X=3 and Y=-6

A: NOTE: Refresh your page if you can't see any equations. . here the given values are  x=3 and y=-6

Q: xy' – y – 5x* – 3x² + 2x = 0 when x = 1 and y = 2

A: As per bartleby policy we are supposed to answer only one question per post. This post contains 2…

Q: y" - 10y' +9y=e⁹t ;y (0) = 1, y' (

A: Given,           y''-10y'+9y=e-9t; y(0)=1, y'(0)=1

Q: xy' - y - 5x* – 3x2 + 2x = 0 when x= 1 and y = 2

A: Given differential equation is xy'-y+5x4-3x2+2x=0 we have to solve it when x=1 and y=2.

Q: Y=kx +3 for x

A:

Q: if y= 1/2x^3 then find y`(0.50)

A: We find y' or first derivative of y using power rule. d/dx(x^n)= n*x^(n-1)

Q: Use Gaussian elimination to solve the system:

A: Solution: Consider the given system of equations x - 2y - z = -5 2x - 3y - z = 0 3x - 4y -z = 1 Now,…

Q: Solve for y in two ways. y' - 5y = -3

A:

Q: 3. y² = -x, x² + 3y + 4x+6=0

A:

Q: 2x e y = 2x y = (3x² – x).(*2) 5x+2 y =

A: Here we have to find the derivative of the given two functions.  In first function we use chain rule…

Q: 16(x* yz)ª (2x")

A:

Q: 2 X 2.(D²-4D +4)y = x

A: find find its auxilary equation then find its complementary solution then find particular solution…

Q: y' + 2.5y = 1.6r 25 yy' – 4x = 0

A:

Q: Solve y = x2 + 1 and 2y = 3x + 4

A: Just follow the process and the solution is on the go.

Q: x² + 1 If y then y' will be = 2x – 3ex'

A:

Q: x) = y" - y² + ²y = 4 + = 4 + ex/2

A: We will solve  the given differential equation.

Q: Given 4.x² = 3y-4z 5 . Calculate the value ofx if y=x-1 and z = 2x.

A:

Q: 3x 1. y = 0 and x = 4

A: The area bounded by the curves y=3xx+4, y=0 and x=4.

Q: O . للدالة (1 + Y = (2X-2)x2 فان قيمة المشتقة لها تكون J. Y" = 6X4 4X + 2 ب. 1+ Y- = 6X + 4x2

A:

Q: 6. y = V2x – 3x . Find y'" -

A:

Q: x)is solution for x²y"+xy + (2x2- 4)y=0 ylgn İhi

A: True

Q: 3. y = v2x' +x /2.

A: We need to find the derivative of 3. y=2x3+x

Q: y' = (4x + y)?

A:

Q: Find the value of y when x=-1      1/6x+3/4y=4

A:

Q: Find the particular solution y''-2y'-3y=0; when x=0, y=0, y'=-4

A: It is given that the differential equation  y''-2y'-3y=0,  y0=0 and y'(0)=-4     The given…

Q: r. = x (n) |1,

A:

Q: y" + 3y' + 2y = 0

A: Given the differential equation is y" + 3y' + 2y = 0. Here the auxiliary equation is m2 + 3m + 2 = 0

Q: (2x + 3y) if 0< x< 1 and 0< y) = otherwise

A:

Q: - 1 Find y' for y = 7x-4 + 2x-1. y' =

A: We havey=7x−4+2x−1

Q: Find general solution y = Yc + Yp of y(3) + y" 3e" + 4x2

A:

Q: Find x+y, if: 5x+8y=67 and 2x-y=31

A: Given

Q: y"-2y'+y = e* Inxr

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

Q: 3x y + z = =) = 1.

A:

Q: Y' for y= 5x^-2 +9x^-1

A: Consider the given function:

Q: y = In(x² + 4)

A:

Q: y' = 6x + 10x¹ + 12e³x *+/ + y' = 6x² + 2x − 5, y(0) = 7 y' = xy

A:

Q: Y=x-4 -2x+y=18 in substitution method

A: We have to solve this

Q: Solve the system.

A: Solve the system.

Q: y" - 6y' +9y = e", 3x У (0) -1. у(0) -0

A:

Q: x2 + 4y2 + 322 = 3 дх ay

A:

Q: 9x-7 y' for y = - 2 X + 6x

A:

Q: y = -3x + 8 and y = x - 1 10 2. -2 5n

A:

Q: y" - 3y' +2y = e4x + 6x3 – 2+ 3sin(4x)

A: We have to find CF and PI

Q: 3. y'-5y=x²e* – xe*

A:

Q: solve for y: x - 3y = 6

A: Ans : On solving for y = ?  From question ,Given that an equation to solve ;     x - 3y = 6

Q: 5. (2xy² – 1)* – 3x²y³ – 1 = 0, find y' -

A:

Q: a) Yt+1 = 2yt - 10 b) Yt+1 = Yt c) ye = 0.5yt-1+1 %3D

A: This is the problem of recurrence relation.

Q: 10. Find y'if y = 3(x³-7x + 2)15 + 4x² – 2

A:

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.