`ax + by^(2) = cos y `

Sketch the graphs of the following pair of equations on the same axes : y = cos 2x, y= cos (2x-pi) .

Find (dy)/(dx) , if ax +by^3 = cos y

If = X cos theta-Y without theta, y = X without theta + Y cos thetaunderset and x ^ (2) + 4xy + y ^ (2) = AX ^ (2) + BY ^ (2), 0 <= theta <= (pi) / (2) then

The circle x^(2)+y^(2)-2ax-2ay+a^(2)=0 touches axes of co ordinates at

The circle x^(2)+y^(2)-2ax-2ay+a^(2)=0 touches axes of co ordinates at

find the derivatives of the following functions : (a) y =cos ax, (b) y=5x^(2)-2x

If y = e^(ax) cos bx then find y_(n)(0) .

If y = e^(-ax) cos (bx + c) , show that (d^2y)/(dx^2) + 2a(dy)/(dx) + (a^2 + b^2) y = 0

Consider two circes x ^(2) + y ^(2) =a ^(2) - lamda and x ^(2) + y ^(2) - 2 ax cos theta - 2 a y sin theta + lamda = 0. Each circle passes through the centre of the other for