(3)
*
The notation
dy
dx due to Leibnitz is extremely flexible and useful in many calculation and formal
transformations, where, we can deal with symbols dy and dx exactly as if they were ordinary numbers 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