`(dy)/(dx)=(d(x)^x)/dx`

y^2+x^2(dy)/(dx)=x y(dy)/(dx)

Solve ((dy)/(dx))^2-x(dy)/(dx)+y=0

If (d^2x)/(dy^2)((dy)/(dx))^3+(d^2y)/(dx^2)=K then the value of k is equal to

Show that A x^2+B y^2=1 is a solution of the differential equation x{y\ (d^2y)/(dx^2)+((dy)/(dx))^2}=y(dy)/(dx)dot

Show that A x^2+B y^2=1 is a solution of the differential equation x{y\ (d^2y)/(dx^2)+((dy)/(dx))^2}=y(dy)/(dx)dot

Solve the differential equation : y+x(dy)/(dx)=x-y(dy)/(dx)

Verify that y^2=4a x is a solution of the differential equation y=x(dy)/(dx)+a(dx)/(dy) .

Find the order and degree of the following differential equations. i) (dy)/(dx)+y=1/((dy)/(dx)) , ii) e^(e^(3)y)/(dx^(3))-x(d^(2)y)/(dx^(2))+y=0 , iii) sin^(-1)(dy)/(dx)=x+y , iv) log_(e)(dy)/(dx)=ax+by v) y(d^(2)y)/(dx^(2))+x((dy)/(dx))^(2)-4y(dy)/(dx)=0

Solve the following differential equations: (dy)/(dx)=1+x+y+x y (ii) y-x(dy)/(dx)=a(y^2+(dy)/(dx))

Solve the following differential equations: (dy)/(dx)=1+x+y+x y (ii) y-x(dy)/(dx)=a(y^2+(dy)/(dx))