Help
Contact
For teachers and institutes
Search courses, problems, tests…
A
A
>_
StemPy Lab
Courses ▾
Problems ▾
Practice ▾
Mock Tests
Classes
Community ▾
A
A
The figure shows a direction field. Which differential… | StemPy Lab
Quizzes
/
The figure shows a direction field. Which differential equation produces it?
Mathematics
Hard
High School (11–12)
Functions and Calculus › Differential Equations
AP
A-Level
IB
AEEE (Amrita)
AMUEEE
AP EAPCET
+21 more exams
BCECE
CMI Entrance
COMEDK UGET
CUET UG
GUJCET
IAT (IISER)
ISI Admission Test
JCECE
JKCET
KCET
KEAM
KIITEE
LPUNEST
MET (Manipal)
MHT-CET
Created by
StemPy Lab
The figure shows a direction field. Which differential equation produces it?
Fig. 1: A direction field drawn on a square from -3 to 3 in both directions, made of short line segments. In the first and third quadrants the segments rise to the right and in the second and fourth quadrants they fall to the right. On the vertical axis the segments are horizontal. On the horizontal axis they are vertical.
d
y
d
x
=
−
y
x
\dfrac{dy}{dx} = -\dfrac{y}{x}
d
x
d
y
=
−
x
y
d
y
d
x
=
−
x
y
\dfrac{dy}{dx} = -\dfrac{x}{y}
d
x
d
y
=
−
y
x
d
y
d
x
=
x
y
\dfrac{dy}{dx} = \dfrac{x}{y}
d
x
d
y
=
y
x
d
y
d
x
=
y
x
\dfrac{dy}{dx} = \dfrac{y}{x}
d
x
d
y
=
x
y
Check Answer
Log in to save
Tag someone
⚑ Report
← All Quizzes
← A cooling model has the family of curves y = Ce⁻²ˣ where C is an arbitrary constant. Which equation does every curve of the family satisfy?
A student eliminates the constants A and B from the family y = (A + Bx)e²ˣ. Which equation does she reach? →
More on
Functions and Calculus › Differential Equations
Discussion (0)
Log in
to join the discussion.
Loading…
NEST (NISER)
OJEE
SRMJEEE
TS EAPCET
UPESEAT
VITEEE
All questions on this topic →
Problems on this topic
A curve in the first quadrant has this property…
Advanced
A designer is drawing the cross-section of a headlight reflector…
Hard
The curves y = Cx³ form a family, with a different constant C for each curve…
Medium
A researcher puts a thermometer, at 60 °C, into a room where a heater is slowly warming the air…
Advanced
All problems on this topic →