Q. 85.0( 1 Vote )

# Find the sum of t

Answer :

Order of a differential equation is the order of the highest order derivative occurring in the differential equation

As, the given equation has highest order derivative of order 2 , the order of given differential equation is 2.

Now, degree of a differential equation is defined if it is a polynomial equation of derivatives, the given equation is not a polynomial equation of derivatives because has a power and polynomial contains only integer powers.

Therefore, first we will convert the equation into polynomial of derivatives!  Cubing both sides, we get  Apply the formula (a + b)3 = a3+3a2b+3ab2+b3 in .  Since,

Degree of a differential equation is the highest power of the highest order derivative in it,

The highest power of highest order derivative is 3, therefore degree of given equation is 3.

Hence, order + degree = 2 + 3 = 5

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 :

Which of the follMathematics - Exemplar

Family y = Ax + AMathematics - Exemplar

The order and degMathematics - Exemplar

If y = 3e2x<Mathematics - Board Papers

Write the degree Mathematics - Board Papers

The degree of theMathematics - Exemplar