Form the differential equation of `y=px+(p)/(sqrt(1+p^(2).`

Write the order and degree of the differential equation y=px+sqrt(1+p^(2)), where p=(dy)/(dx)

The degree and order of the differential equation y=px+root3(a^(2)p^(2)+b^(2)), where p = (dy)/(dx) are respectively

The degree of the differential equation satisfying sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y) , is

The differential equation y=px+f(p) , …………..(i) where p=(dy)/(dx) ,is known as Clairout's equation. To solve equation i) differentiate it with respect to x, which gives either (dp)/(dx)=0 rArr p =c ………….(ii) or x+f^(i)(p)=0 …………(iii) Which of the following is true about solutions of differential equation y=xy^(')+sqrt(1+y^('2)) ?

The differential equation satisfied by sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y),a is arbitary constant

If the solution of the differential equation y=2px+y^(2)p^(k) is in the form y^(2)=2cx+c' then k= (where p=(dy)/(dx) and c is arbitrary constant)

The differential equation y=px+f(p) , …………..(i) where p=(dy)/(dx) ,is known as Clairout's equation. To solve equation i) differentiate it with respect to x, which gives either (dp)/(dx)=0 rArr p =c ………….(ii) or x+f^(i)(p)=0 …………(iii) The singular solution of the differential equation y=mx + m-m^(3) , where m=(dy)/(dx) , passes through the point.