Grade 12Differential Calculus

What is meant by order and degree of a differential equation. Please explain me with example.

Manoj Patra

11 Years agoGrade 12

2 Answers

Vijay Mukati

11 Years ago

Theorderof adifferential equationis theorderof the highestorderderivative present in theequation. Thedegreeof adifferential equationis the power of the highestorderderivative in theequation.
Example:
d2y/dx2 +(dy/dx) - 3x + 2y = 8
Above differencial equation has order 2 (the highest derivative appearing is the second derivative) and degree 1 (the power of the highest derivative is 1.)

Nicho priyatham

11 Years ago

Order of a differential equation is defined as the order of the highest order derivative of the dependent variable with respect to the independent variable involved in the given differential equation.

ex : ( d²y/dx²) + dy/dx +y=0

here order is two as the highest order term is d²y/dx²

degree it is the power of hieght order term

ex ( d²y/dx²)⁴ + dy/dx +y=0

here the hieght order term is d²y/dx²and it is raised to power of 4 degree is 4

Order and degree (if defined) of a differential equation are alway positive integers
the dedgree is defined only wn the equation is polynomial in dervative terms it is not define wn deravative term is in exponent function or trignometric or log function

ex : (dy/dx) +sin(dy/dx)=0

the degree is not define

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