Question

Write the order and degree of the differential equation​

Answer 1

brilliant mark

Answer:

DEGREE: The degree of a differential equation,of which the differential coefficients are free from radicals and fractions, is the positive integral index of the highest power of the highest order derivatives involved. For example, in the following equation, Order:2, degree:1

Step-by-step explanation:

Answer 2

Answer:

A differential equation is a mathematical equation that relates some function with its derivatives. In real-life applications, the functions represent some physical quantities while its derivatives represent the rate of change of the function with respect to its independent variables

Step-by-step explanation:

The order of a differential equation is the order of the highest order derivative involved in the differential equation. The degree of a differential equation is the exponent of the highest order derivative involved in the differential equation when the differential equation satisfies the following conditions –

All of the derivatives in the equation are free from fractional powers, positive as well as negative if any.

There is no involvement of the derivatives in any fraction.

There shouldn’t be involvement of highest order derivative as a transcendental function, trigonometric or exponential, etc. The coefficient of any term containing the highest order derivative should just be a function of x, y, or some lower order derivative.

If one or more of the aforementioned conditions are not satisfied by the differential equation, it should be first reduced to the form in which it satisfies all of the above conditions.  An equation has no degree or undefined degree if it is not reducible.

The determination of the degree of a given differential equation can be very tricky if you are not well versed with the conditions under which the degree of the differential equation is defined. So go through the given solved examples under the ‘Degree’ topic carefully and master the technique of calculating the degree of the given differential equation just by sheer inspection!