Find `(dy)/(dx)`, when: `x^(n)+y^(n)=a^(n)`

Find (dy)/(dx), when x=(e^t+e^(-t))/2 \ a n d \ y=(e^t-e^(-t))/2

Find (dy)/(dx) if, y=x^n+n^x+x^x+n^n

y=x^n , Find (dy)/dx

Find (dy)/(dx), when x=a(theta+sintheta)a n dy=a(1-costheta)

Find (dy)/(dx), when xa n dy are connected by the following relations (i) a x^2+2h x y+b y^2+2gx+2fy+c=0 (ii) x y+x e^(-y)+ydote^x=x^2

Find (dy)/(dx),w h e n x=e^(theta)(theta+1/theta)a n dy=e^(-theta)(theta-1/theta)

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

If (d)/(dx)[ x^(n+1)+c]=(n+1)x^(n) , then find int x^(n)dx .

If y=a x^(n+1)+b x^(-n) , then x^2(d^2y)/(dx^2)= n(n-1)y (b) n(n+1)y (c) n y (d) n^2y

If y=1+x+(x^2)/(2!)+(x^3)/(3!)+...+(x^n)/(n !),t h e n(dy)/(dx) is equal to (a) y (b) y+(x^n)/(n !) (c) y-(x^n)/(n !) (d) y-1-(x^n)/(n !)