Solve the following differential equation sinה 1x6 y'+y= y(1)= 4, Select one: O a. y(x)=. (6cos Tx+2) O b. y(x)= (-6cos TX-2) %3D Oc. y(x)=- ot 6cos TX+2) O d. y(x)= (6cos X-2) O e. y(x)= 6 TCOS TEX-2)

Q: 3 (3x? — 6ху) dx — (3x? + 2у) dy 3D0 -

A:

Q: According to the differential equation: T'=0.1T(1-T/1000)-0.05T What are the equilibrium values and…

A:

Q: Xoly-y dx-Jx.ye dxz0

A: Given:            xdy−ydx−x2+y2dx=0

Q: The differential equation xdy - ydx = 1 B. X A. 2x³ dx can be made exact by using what integrating…

A:

Q: Is the following a homogenous differential equation? dy/dx = (x2y-y2x)/(x3-y3)

A: Let's find

Q: (бх + у?)dх + y(2х — Зу)dy %3D 0

A: We have to solve given problem:

Q: Form the differential equation for the function y = acos(2x + b)

A: By finding first and second derivatives of function we form the required differential equation as…

Q: Evaluate the general Solution to the differential equation: Cy-cos-x)dx+ cosxody A y(secx + tan x) t…

A:

Q: Q5/ solve the differential equation (x² + 2xy) dy = (2xy + 3y²)dx

A:

Q: xdx + ydy == (x² + y²)dx

A:

Q: Solve the differential equation by variation of parameteres: y'' + y = csc(x)

A:

Q: y = Cje2" + C2e¯®

A: y=C1e2x+C2e-x differentiate with respect to x…

Q: dy 2х-5у+3 %3D dx 2x+4у-6 II

A: Given: dydx=2x-5y+32x+4y-6

Q: Solve cosh(z)=1/2

A:

Q: Find the differential equation which has y= asinx+bcosx+xcosx

A: Given: y=asinx+bcosx+xcosx                                   ..1 for finding differential equation…

Q: Form the differential equation by eliminating the arbitrary constants y = a csc x + b cot a

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.