Solve `y=2px+y^2p^3` where `p=dy/dx`

Solve y=2px-p^(2).

(1) Solve y=x+a tan^(-1)P , where P=dy/dx

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.

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

Solve p^(2)+2py cot x=y^(2), where p=(dy)/(dx)

Solve dy/dx+y/sqrt(x^2+4)=3x where y(0)=4

Solve: y^2/x=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

Determine the order and degree of each of the following differential equation.State also whether they are linear or non-linear: y=px+sqrt(a^(2)p^(2)+b^(2)), where p=(dy)/(dx)

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)