xy" – y' = x'e* = y' =? A y = xe" + cx B) y=x'e" +c y = xe" – cx C) D) y' = x'e* +cx y = xe + cx E)

Q: E Find the derivatives of y with respect to x: a) y = xex - ex b) y = e(4x+;) c) y = e*(sin x + cos…

A: we have to find the derivative of following function with respect to y (a) given y=xex-ex…

Q: Solve 2x y da + (x+3y*)dy = 0 Ax'y + xy* = € |9 r*y+y* = c

A: 2x y dx + (x^2 + 3y^2) dy   Here we have to solve the given differential equation:   The given ODE…

Q: Find dy Y= 5In CI+x") 4 dy'=?

A: The solution are next step..

Q: y"+y = sin x, use Method I

A: Given that: y''+y=sinx

Q: Find the derivatives of y with respect to x: a) y = xe* - e* b)' y = e(4x+) e(tx+) X. c) y = e*(sin…

A: Since you have posted multipart question and we can answer three subparts. So, answered first three…

Q: Find the derivatives of y with respect to x: a) y = xe* – ex b)' y = e(+x+) c) y = e*(sin x + cos x)…

A: Differentiate the function with respect to x.

Q: 3 z'= 2(x"+Z) Arrang e in linear form: dy Q) or dx

A:

Q: 2 4 Ayz x = By + Cz' ||

A:

Q: Find y' given: Y = 6 √x

A:

Q: -x-1 a) y' = +2yi-1 v(0)=1

A:

Q: y' + E) y = xy? 2

A:

Q: Mike's Parts Inc, has a certain motor whose total revenue is R = 25x -0.04x² a) Find R(110) : ) Find…

A: Since you have asked a question with multiple subparts, we will solve the first three sub parts for…

Q: What is the auxiliary equation for y"+by'+c=0, b & c is constant. What are the condition for this DE…

A:

Q: Determine óx' Determine óy' determine Tx'y'

A:

Q: Consider y=(x2+1)2x a) find dy/dx b)Evaluate y'(1)

A:

Q: dy – y (xy' -1) .3 2.) dx

A:

Q: d'y If y = In(secx) and when x = then equals 4 dx? (a) 2 (b) 0 (c) 1 (d) 4 (е) 4

A: In this question we have to find the value of d2ydx2 when x=π4. Formula used,…

Q: 8 If x2 = 25 - y2, what is the value of dx2 a²y at the point (3, 4)? 25 (A) - 64 (B) - (C) (D) (E)…

A: use the quotient rule to find the second derivative.

Q: g Solve Rour of the following D.E A)(xュ)dx + 2xy dy dy B) ャリ=ex c) (xx v y'es )dx -(y- )dy zo D) (X…

A:

Q: 9) y = e4x² + x A) dy dx 8xe2x + 1 B) dy - 8xex2 dx %3D + 1 C) dy dy - 8xe4x2 dx — 8хе + 1 %D D) + 1

A: We have to find

Q: 8) a) Find dy/dx if: e3x = x+y b) Differenctiate y = (sin r)"

A: We know that general derivative of d(xn)/dx is nxn-1. And derivative of d(sinx)/dx = cosx  d(lnx)/dx…

Q: Solve y"-xy' - By = 0, x>0 A) y = e+ B) y = c,x* + C) y= + D) y =c,3r*+

A:

Q: if y³ - y = 2x Then, d'y -24y prove that dx (3y -1) |

A:

Q: 8. The number of people passing through a busy subway station is documented as 12 pm 3 pm 6 pm 9 pm…

A: Simpson's rule, trapezoid rule, etc. are some of the numerical techniques used to evaluate the…

Q: y"+ y"-4y'- 4y- -3-*-4x-6 =0

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.