form a differential equation of, y=asinbx
in Calculus Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

To form a DE from y=asin(bx), we need to remove at least one of the constants a or b, so let’s differentiate: y'=abcos(bx) and again: y''=-ab²sin(bx).

So y''=-b²y, by substituting y for asin(bx). The DE is y''+b²y=0.

by Top Rated User (763k points)

Related questions

Welcome to, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
85,080 questions
90,214 answers
58,769 users