`dy/dx`= `cos^2x`

dy/dx cos^2(x^2-1)

Find dy/dx if y=cos^2x

dy/dx = frac{cos^2y}{x(x^4+1)}

If y=cos (sin x) , show that (d^2y)/(dx^2)+tan x""(dy)/(dx)+y cos^2 x=0

Find one parameter families of solution curves of the following differential equations: (or solve the following differential equations): (dy)/(dx)-y=cos2x x(dy)/(dx)+y=x^3

If y = sqrt(sin x + sqrt(sin x + sqrt(sin x + ........... "to " oo))) , then prove that (dy)/(dx) = (cos x)/(2y-1)

Solve the differential equation: x \ cos^2y\ dx=y \ cos^2x\ dy

Solve the differential equation: (i) (1+y^2) + ( x - e^(tan^-1 y) ) dy/dx = 0 (ii) x dy/dx + cos^2 y = tan y dy/dx

Find dy/dx if y= cos^4x

Find (dy)/(dx) if y= cos^2x