Home
Class 12
MATHS
If the dependent variable y is changed ...

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_______

Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

Degree of differentiate equation (d^(2)y)/(dx^(2))+((dy)/(dx))^(2)+y=0 is :

Degree of differentiate equation (d^(2)y)/(dx^(2))+((dy)/(dx))^(3)+y=0 is :

If (d^2x)/(dy^2)((dy)/(dx))^3+(d^2y)/(dx^2)=K then the value of k is equal to

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

Order and degree of the differential equation (d^(2)y)/(dx^(2))={y+((dy)/(dx))^(2)}^(1//4) are