Q. 195.0( 2 Votes )
Determine the order and degree of each of the following differential equations. State also whether they are linear or non-linear.
The order is the highest numbered derivative in the equation with no negative or fractional power of the dependent variable and its derivatives, while the degree is the highest power to which a derivative is raised.
First of all, we will rearrange the above equation as follows
y–x= here we have substituted the value of p and taken out from the root
Since the above equation has rational powers we need to remove them so squaring on both sides.
So, the order of the above differential equation 1 and the degree of the differential equation is 2.
In a differential equation, when the dependent variable and their derivatives are only multiplied by constants or independent variable, then the equation is linear.
So, in this question the dependent variable is y and the term is multiplied by itself, so the given equation is non-linear.
Rate this question :
Which of the following is a second order differential equation?Mathematics - Exemplar
Family y = Ax + A3 of curves is represented by the differential equation of degree:Mathematics - Exemplar
The order and degree of the differential equation respectively, areMathematics - Exemplar
If y = 3e2x + 2e3x, prove that
Mathematics - Board Papers
Write the degree of the differential equationMathematics - Board Papers
The degree of the differential equation is:Mathematics - Exemplar