Qquad y=e^(-x)cos x+t sin," provethot "y_(4)+4y=0

If y=e^(-x)cos x, then prove that y_(4)+4y=0

If y = e ^(-x) cos x then y _(4) =

If x,=e^(cos2t) and y=e^(sin2t), prove that (dy)/(dx),=-(y log x)/(x log y)

The tangent to the curve given by : x=e^(t)cos t, y=e^(t) sin t at t=(pi)/(4) makes with x-axis an angle :

The tangent to the curve given by x = e^(t) cos t y = e^(t) " sin t at t " = (pi)/(4) makes with x-axis an angle of

If (cos ^ (4) x) / (cos ^ (2) y) + (sin ^ (4) x) / (sin ^ (2) y) = 1 then prove that (cos ^ (4) y) / (cos ^ (2) x) + (sin ^ (4) y) / (sin ^ (2) x) = 1

The angle made by the tangent with the + ve direction of X-axis to x=e^(t)cos t, y = e^(t)sin t at t=(pi)/(4) is ……….

If cos x + cos y =(1)/(3) and sin x + sin y=(1)/(4) prove that tan ((x+y)/(2))=(3)/(4)

If y = A cos 4 x + B sin 4 x, A and B are constants then Show that y_2 + 16y =0