यदि x=1/(z)तथा y= f(x), तो प्रदर्शित कीजिए कि (d^2f)/(dx^2)=2z^3(dy)/(dz)+z^4(d^2y)/(dz^2) | 12...

Let y=f(x) and x=(1)/(z)." If "(d^(2)y)/(dx^(2))=lamda_(z^(3))(dy)/(dz)+z^(4)(d^(2)y)/(dz^(2)) , then the value of lamda is

If x=e^(z) then x^(2)*(d^(2)y)/(dx^(2)) is

If x=4z^(2)+5,quad y=6z^(2)+7z+3, find (d^(2)y)/(dx^(2))

If x+y=tan^(-1)y" and "(d^(2)y)/(dx^(2))=f(y)(dy)/(dx) , then f(y)=

Let y=f(x). phi(x) and z=f'(x). phi'(x) prove that (1)/(y)*(d^(2)y)/(dx^(2))=(1)/(f)*(d^(2)f)/(dx^(2))+(1)/(phi)*(d^(2)phi)/(dx^(2))+(2z)/(f phi)

If y =f (x) and z=g(x) then (d^(2)y)/(dx ^(2)) equals

If y=(1)/(a-z) , then (dz)/(dy)=

If the dependent variable y is changed to z by the substitution y=tan z and the differential equation (d^(2)y)/(dx^(2))=1+(2(1+y))/(1+y^(2))((dy)/(dx))^(2) is changed to (d^(2)z)/(dx^(2))=cos^(2)z+k((dz)/(dx))^(2), then the value of k equal to

If the dependent variable y is changed to 'z' by the substitution y=tan z then the differential equation (d^(2)y)/(dx^(2))+1+(2(1+y))/(1+y^(2))((dy)/(dx))^(2) is changed to (d^(2)z)/(dx^(2))=cos^(2)z+k((dz)/(dx))^(2) then find the value of k

If the dependent variable y is changed to z by the substitution method y= tanz then the differential equation d^(2)(y)/(dx^(2))=1+2(1+y)/(1+y^(2))((dy)/(dx))^(2) is changed to d^(2)(z)/(dx^(2))=cos^(2)z+k((dz)/(dx))^(2) then find the value off k