Question
Question: The differential equation which represents the family of curves y = c<sub>1</sub>\(e^{c_{2}x}\), whe...
The differential equation which represents the family of curves y = c1ec2x, where c1 and c2 are arbitrary is
A
y¢ = y2
B
y¢¢ = y¢y
C
yy¢¢ = y¢
D
yy¢¢ = (y¢)2
Answer
yy¢¢ = (y¢)2
Explanation
Solution
c1 and c2 are two arbitrary constant
So differentiate two times, eliminate c1 and c2