Home
Class 12
MATHS
If y=xe^(-(1)/(x)), prove that, x^(3)y(2...

If `y=xe^(-(1)/(x))`, prove that, `x^(3)y_(2)-xy_(1)+y=0`.

Promotional Banner

Similar Questions

Explore conceptually related problems

If y=x log((1)/(ax)+(1)/(a)) , prove that, x(x+1)y_(2)+xy_(1)=y-1 .

If cos^(-1)((y)/(b))=log((x)/(n))^(n) , prove that, x^(2)y_(2)+xy_(1)+n^(2)y=0 .

If y=px^(n)+qx^(-n) , show that x^(2)y_(2)+xy_(1)-n^(2)y=0 .

If y=x^(1/3)-x^(-1/3) , prove that y^(3)+3y=x-(1)/(x)

If y=sin(logx), prove that , x^2y_2+xy_1+y=0 .

IF y=cos (m sin^-1 x), prove that , (1-x^2)y_2-xy_1+m^2y=0 .

If y=sqrt((1-x)/(1+x)) ,prove that (1-x^2)dy/dx+y=0

If y=e^x , Prove that , xy_2-(2x-1)y_1+(x-1)y=0 .

IF y=x^2 cosx, prove that , x^2y_2-4xy_1+(x^2+6)y=0 .

If y=sqrt((1-x)/(1+x)) , prove that , (1-x^(2)) (dy)/(dx)+y=0