Question

How to find out the order and degree of a differential equation ?

Answer 1

The order of a differential equation is the highest derivative in the equation and degree of DE is the degree of highest derivative.

For example:
$5^{\prime }{y}^{\prime \prime }-6y^3+8=0$. Order of this DE is 2 since we have 2nd derivative of y and degree of DE is 1, since the degree of highest derivative is 1.

$3(y^{\prime \prime \prime }{)}^2+2(y^{\prime \prime }{)}^4=0$. Order of this DE is 3 and degree is 2.
$\frac{dy}{dx}+sinx=0$. Order of this DE is 1 and degree is 1.