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

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

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

If the dependent variable y is changed to z by the substitution y=tanz and the differential equation (d^2y)/(dx^2)=1+(2(1+y))/(1+y^2)((dy)/(dx))^2 is changed to (d^2z)/(dx^2)=cos^2z+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 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

Find the order of the differential equation ((d^2y)/dx^2)^3=(1+dy/dx)^(1//2) .

If the independent variable x is changed to y , then the differential equation x(d^2y)/(dx^2)+((dy)/(dx))^3-(dy)/(dx)=0 is changed to x(d^2x)/(dy^2)+((dx)/(dy))^2=k where k equals____

If the independent variable x is changed to y , then the differential equation x(d^2y)/(dx^2)+((dy)/(dx))^3-(dy)/(dx)=0 is changed to x(d^2x)/(dy^2)+((dx)/(dy))^2=k where k equals____

If the independent variable x is changed to y , then the differential equation x(d^2y)/(dx^2)+((dy)/(dx))^3-(dy)/(dx)=0 is changed to x(d^2x)/(dy^2)+((dx)/(dy))^2=k where k equals____

If the independent variable x is changed to y , then the differential equation x(d^2y)/(dx^2)+((dy)/(dx))^3-(dy)/(dx)=0 is changed to x(d^2x)/(dy^2)+((dx)/(dy))^2=k where k equals____