Q. 37 H5.0( 1 Vote )

Solve each of the , Given and  This is a first order linear differential equation of the form Here, P = cot x and Q = 2 cos x

The integrating factor (I.F) of this differential equation is,  We have  I.F = sin x [ elog x = x]

Hence, the solution of the differential equation is,   Let sin x = t

cosxdx = dt [Differentiating both sides]

By substituting this in the above integral, we get Recall   yt = t2 + c   [ t = sin x]

However, when , we have y = 0  0 = 1 + c

c = –1

By substituting the value of c in the equation for y, we get     [ sin2θ + cos2θ = 1]

y = –cos x cot x

Thus, the solution of the given initial value problem is y = –cosec x cot x

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
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 RELATED QUESTIONS :

Integrating factoMathematics - Exemplar

Solve the followiRD Sharma - Volume 2

Solve the followiMathematics - Board Papers

Solve the followiRD Sharma - Volume 2

Solve the followiRD Sharma - Volume 2

Solve the followiRD Sharma - Volume 2

Solve the followiRD Sharma - Volume 2

Solve the followiMathematics - Board Papers

Solve the followiRD Sharma - Volume 2

Solve the followiRD Sharma - Volume 2