The solution of the differential equation `y^(prime)y^(primeprimeprime)=3(y^(primeprime))^2` is

The solution of the differential equation y^(primeprimeprime)-8y^(primeprime)=0, where y(0)=1/8,y^(prime)(0)=0,y''(0)=1 , is

The solution of the differential equation y_1y_3=y_2^2 is

The solution of differential equation x(dy)/(dx)=y is :

The solution of differential equation ydx=(y^(3)-x)dy is :

The solution of differential equation y'(1+x^(2))=2xy is :

The solution of the differential equation ((x+2y^3)dy)/(dx)=y is

The solution of differential equation x(dy)/(dx)+y=x^(3) is :

The general solution of the differential equation, y^(prime)+yphi^(prime)(x)-phi(x)phi^(prime)(x)=0 , where phi(x) is a known function, is

Solution of the differential equation (x-y)^2(dy/dx)=a^2 is

The solution of the differential equation y_(1)y_(3)=3y_(2)^(2) , is