Home
Class 12
MATHS
If (a+bx)e^((y)/(x))=x, show that, x^(3)...

If `(a+bx)e^((y)/(x))=x`, show that, `x^(3)(d^(2)y)/(dx^(2))=(x(dy)/(dx)-y)^(2)`.

Promotional Banner

Similar Questions

Explore conceptually related problems

If e^(y)(x+1)=1 , show that (d^(2)y)/(dx^(2)) = ((dy)/(dx))^(2) .

If (a+bx)e^(y/x)=x , Prove that x^3(d^2y)/(dx^2)=(x(dy)/(dx)-y)^2

If y=e^((y)/(x)) show that, (dy)/(dx)=(y^(2))/(x(y-x)) .

If y= sin^(-1)x , show that (1-x^(2)) (d^(2)y)/(dx^(2))-x(dy)/(dx) =0 .

If y=xlog"{"x/((a+b x))"}" , then show that x^3(d^2y)/(dx^2)=(x(dy)/(dx)-y)^2dot

(dy)/(dx)=(2x-3y)/(3x-2y)

If y= e^(a cos^(-1)x), -1 le x le 1 , show that (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)-a^(2)y=0 .

If y=e^(7x) +e^(-7x) , show that (d^(2)y)/(dx^(2))= 49y .

If e^y(x+1)=1 , prove that (d^2y)/(dx^2)=((dy)/(dx))^2

"If "y= xlog ((x)/(a+bx))," then "x^(3)(d^(2)y)/(dx^(2))=