Q. 55.0( 2 Votes )

Show that the function y = A cos2x – B sin 2x is a solution of the differential equation

Answer :

The differential equation is and the function that is to be proven as solution is

y = A cos2x – B sin 2x, now we find the value of .


= –2A sin 2x – 2B cos 2x


= –4A cos 2x + 4B sin 2x


Putting the values in the equation, we get,


–4A cos 2x + 4B sin 2x + 4(A cos 2x – B sin 2x) = 0,


0 = 0


As, L.H.S = R.H.S. the equation is satisfied, so hence this function is the solution of the differential equation.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Interactive Quiz on DIfferential CalculusFREE Class
Functional Equations - JEE with ease48 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses