By
treating dx and dy like separate entities, we can give neater expressions to many calculations Refer: Introduction to Calculus and Analysis, volume-I page 172, By Richard Courant,
Fritz John Spinger – Verlog New York © NCERT
not to be republished
DIFFERENTIAL EQUATIONS
395
Substituting x = –2, y = 3 in equation (3), we get C = 5 Substituting the value of C in equation (3), we get the equation of the required curve as
3
2
5
y3
=x
+
   or   
1
2
3
(3
15)
y
x
=
+
Example 14 In a bank, principal increases continuously at the rate of 5% per year