1) Match the differential equation with its direction field. Which direction field represent y' = x (2- y)?

Q: Create a direction field of following differential equation y' = 9.8 - 0.05x y' = 9.8 - 0.1y²

A: Given differential equations are:..We know that, a direction field of a differential equation is a…

Q: (2х + 1)у? y' = y2 - 1

A: It's not clear what needs to be done in this question. To me, it appears that you want this…

Q: Find the derivative of the following: 2x-5 y = 3x–1 O y' = 13 (3z-1) 13 (3z–1) 13 (3x+1) 13 O y' =…

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Q: solve y''-y'=xex  using undetermined coefficient. The characteristic equation will be r2-r=0

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Q: y' = I - y

A: Given- y'=1-y To find- the solution of the differential equation. Concept Used- Rearrange the above…

Q: Find y' and y "   y =x2In(2x).

A: Given: y= x2ln2xDifferentiation Formula:ddxlnx=1xddxxn=nxn-1ddxuv=uv'+vu'

Q: nce. For this model we will take the tion due to gravity to be -9.81 is is given by mass times e…

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Q: Find y' y = 3x-2 2x+3

A: Given Functiony=(i) (ii) (iii)

Q: Find y in terms of x. dy 2=x* (32 - x). curve passes through (2,2) dx The solution is y=|

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Q: Separate the equation (1 + x + y + xy)y' =x.

A: First, convert the expression on the left-hand side in product form and then separate the equation…

Q: Is the equation y’=y/x autonomous? True or false?

A: Given:The given equation is .To Find:We have to determine whether the given equation is autonomous…

Q: Match the differential equation with its direction field. y' = 10 - y \ 20 0:34 // 0.2f Q,1 -Q.31…

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Q: Consider a differential equaUion -x2 y' = xy + xe

A: we have been given a differential equation with initial condition y(0)=0 y'=xy+xe-x2

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.