my college hive icon
Dy/dx = -2x - 1, y(-1) = -1
JMAP math differential-equation
up
0
down

dy/dx = -2x - 1, y(-1) = -1

A) y = 2x2 + 3x + 3

B) y = x2 + 2x + 1

C) y = x2 + x - 2

D) y = -x2 - x - 1

41 views
Edit Share Follow
judziy
Asked by judziyrep:213
University of Benin 25 June 2020

Comments





1 answer(s)

peter
Peter answeredrep:202
School not set 25 June 2020
up
0
down

dy/dx = -2x - 1

Multiply both sides by dx,

dy = (-2x - 1) dx

Integrating both sides,

∫dy = ∫(-2x - 1) dx

y = -2x2/2 - x + c

y = - x2 - x + c ------------ eqn(1)

Where c is the integration constant.

Since y(-1) = -1,

-1 = - (-1)2 - (-1) + c

-1 = - 1 + 1 + c

-1 = 0 + c

c = -1

Thus, eqn(1) becomes:

y = - x2 - x - 1

Ans D

Improve answer Share
Comments






Your Answer

my college hive loader icon



Related Tags

JMAP

2 followers

141 questions

math

4 followers

843 questions

differential-equation

1 followers

8 questions