Solve \(\frac { dy }{ dx } +\frac { { y }^{ 2 } }{ { x }^{ 2 } } =\frac { y }{ x } \)

Form the differential equation for y = e^-2x [A cos 3x-B sin 3x]

Solve: \(\frac{dy}{dx}=\)(4x + y + 1)²

Solve: x\(\frac{dy}{dx}\)+ 2y = x²

Solve: \(\frac{dy}{dx}+y=cos x\)

Form the D.E of the family of curves c(y + c)² = x², where c is the parameter.

Form the D.E of family of curves represented by y=c(x-c)².where c is the parameter.

Form the D.E to y²=a(b-x)(b+x) by eliminating a and b as its parameters.

Find the D.E of all circles touching x-axis at the origin.

Find the D.E of all circles touching y-axis at the origin.

Obtain the D.E of all circles of radius ‘r’

Find the D.E of all circles in the first quadrant which touch the co-ordinate axes.

Form the D.E corresponding to y²-2ay+x²=a² by eliminating ‘a’.

Show that the function y=Acos2x-Bsin2x is a solution of the D.E y²+4y=0

Verify that y=-x-1 is a solution of the D.E (y-x)dy-(y²-x²)dx=0