If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

Course: Differential equations > Unit 1

Lesson 1: Intro to differential equations
Math
Differential equations
First order differential equations
Intro to differential equations
© 2024 Khan AcademyTerms of usePrivacy PolicyCookie Notice

Differential equations challenge

Google Classroom

Problem

Which one of the following two families of functions solves the differential equation
2x2y′+e−y=0
for all values of the constant C?
Choose 1 answer:
Use your answer above to find the value of C that satisfies the condition y(1)=ln⁡3.
C=
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0.75
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4