Writhe the order and degree of the differentialequation `y=x(dy)/(dx)+ – InterviewSolution

InterviewSolution

1.	Writhe the order and degree of the differentialequation `y=x(dy)/(dx)+a sqrt(1+((dy)/(dx))^2)dot`
Answer» The given equation may be weitten as `sqrt(1+((dy)/(dx))^(2))+(y-x(dy)/(dx))` `implies 1+((dy)/(dx))^(2)=(y-x(dy)/(dx))^(2)" "["on squaring both sides"]` `implies1+((dy)/(dx))^(2)=y^(2)+x^(2)((dy)/(dx))-2xy(dy)/(dx)` `implies(1-x^(2))((dy)/(dx))^(2)+2xy(dy)/(dx)+(1-y^(2))=0.` Clearly, it is a differential equation of order = 1 and degree =2.

Discussion

No Comment Found

Related InterviewSolutions

Verify that `y=log(x+sqrt(x^2+a^2))` satisfies the differential equation `d^2y/(dx^2)+x(dy)/(dx)=0`
Verify that `y = A cos x - Bsin x` is a solution of the differential equation `(d^2y)/(dx^2)+y=0`
Writethe differential equation representing the family of curves `y=m x ,`where m is an arbitrary constant.
Write the order and the degree of the differential equation `(d^(2)y)/(dx^(2))+5(dy)/(dx)+3y=0.`
Writhe the order and degree of the differentialequation `y=x(dy)/(dx)+a sqrt(1+((dy)/(dx))^2)dot`
Write order and degree (if defined) of each of the following differential equations. `(dy)/(dx)+sin((dy)/(dx))=0`
Write order and degree (if defined) of each of the following differential equations. `((dy)/(dx))^(4)+3y((d^(2)y)/(dx^(2)))=0`