`x(dy)/(dx)+y=y^(2)x^(3)cos x`

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

Solution of differential equation x^(2)y - x^(3) (dy)/(dx)=y^(4) cos x is

(dy)/(dx)=x^3y^3-x y

(dy)/(dx)+xsin2y=x^(3)cos^(2)y

Solve (dy)/(dx)+2*y/x=(y^3)/(x^3)

Find (dy)/(dx) for y=cos 55x

Solve (dy)/(dx) + x sin 2y = x^(3) cos^(2) y

(dy)/(dx)=(x+sin x)/(y+cos y)

For each of the following differential equations verify that the accompanying functions a solution. (i) x(dy)/(dx)=y => y=a x (ii) x+y(dy)/(dx)=0 => y=+-sqrt(a^2-x^2) (iii) x(dy)/(dx)y+y^2 => y=a/(x+a) (iv) x^3(d^2y)/(dx^2)=1 => y=a x+b+1/(2x) (v) y=((dy)/(dx))^2 => y=1/4(x+-a)^2

If m, n are order and degree of differential equation y(dy)/(dx) + x^(3)((d^(2)y)/(dx^(2)))-xy = cos x then