rjnknr
Badges: 0
Rep:
?
#1
Report Thread starter 4 years ago
#1
1) A body moves in a straight line. At t seconds the acceleration of the body is a = 5t + 3. When t = 0 the velocity of the body is 4ms−1 and it’s displacement is 2m.
Find an expression for v and s in terms of t

3) Solve the following differential equation using the fact that when y = 7 then x = 0 dy/dx − y = 2x

Any help would be greatly appreciated
0
reply
ztibor
Badges: 8
Rep:
?
#2
Report 4 years ago
#2
(Original post by rjnknr)
1) A body moves in a straight line. At t seconds the acceleration of the body is a = 5t + 3. When t = 0 the velocity of the body is 4ms−1 and it’s displacement is 2m.
Find an expression for v and s in terms of t

3) Solve the following differential equation using the fact that when y = 7 then x = 0 dy/dx − y = 2x

Any help would be greatly appreciated
for 1)

a=a(t)

a(t)=dv/dt ->  v(t9=\int a(t) dt +v_0

and [latex]s=\int v(t) dt

for 3)

first solve dy/dx-y=0 which gives the general solution
then find a particular solution with variation of coeffitients
0
reply
Krollo
Badges: 17
Rep:
?
#3
Report 4 years ago
#3
I think 3) may be easier with an integrating factor method rather than faffing with coefficients, though I may well be wrong.

Posted from TSR Mobile
0
reply
X

Quick Reply

Attached files
Write a reply...
Reply
new posts
Back
to top
Latest
My Feed

See more of what you like on
The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

Personalise

University open days

  • University of Bristol
    Undergraduate Open Afternoon Undergraduate
    Wed, 23 Oct '19
  • University of Exeter
    Undergraduate Open Day - Penryn Campus Undergraduate
    Wed, 23 Oct '19
  • University of Nottingham
    Mini Open Day Undergraduate
    Wed, 23 Oct '19

Have you made up your mind on your five uni choices?

Yes I know where I'm applying (135)
62.79%
No I haven't decided yet (46)
21.4%
Yes but I might change my mind (34)
15.81%

Watched Threads

View All