[" 41.If: "(dx)/(dy)=u" and "(d^(2)x)/(dy^(2))=v," then : "],[(d^(2)y)/(dx^(2))=]

If (dx)/(dy)=u and (d^(2)x)/(dy^(2))=v , then the value of (d^(2)y)/(dx^(2)) is -

If y=f(x)p=(dy)/(dx)" and q"=(d^(2)y)/(dx^(2)) . then what is (d^(2)x)/(dy^(2)) equal to ?

If y=f(x),p=(dy)/(dx) and q=(d^(2)y)/(dx^(2)), then what is (d^(2)x)/(dy^(2)) equal to ?

In (dy)/(dx),x is a independent variable and y is the dependent variable.If independent and dependent variables are interchanged (dy)/(dx) becomes (dx)/(dy) and these two are connected by the relation (dy)/(dx)(dx)/(dy)=1. Find a relation between (d^(2)y)/(dx^(2)) and (d^(2)x)/(dy^(2))

In (dy)/(dx),x is independent variable and y is the dependent variable.If independent and dependent variables are interchanged (dy)/(dx) becomes (dx)/(dy) and these two are connected by the relation (dy)/(dx)(dx)/(dy)=1. Find a relation between (d^(2)y)/(dx^(2)) and (d^(2)x)/(dy^(2))

If x=log pandy=(1)/(p), then (a) (d^(2)y)/(dx^(2))-2p=0 (b) (d^(2)y)/(dx^(2))+y=0 (c) (d^(2)y)/(dx^(2))+(dy)/(dx)=0( d) (d^(2)y)/(dx^(2))-(dy)/(dx)=0

x(d^(2)y)/(dx^(2))+(dy)/(dx)+x=0

The differential equation representing the family of curves given by y=ae^(-3x)+b , where a and b are arbitrary constants, is a) (d^(2)y)/(dx^(2))+3(dy)/(dx)-2y=0 b) (d^(2)y)/(dx^(2))-3(dy)/(dx)=0 c) (d^(2)y)/(dx^(2))-3(dy)/(dx)-2y=0 d) (d^(2)y)/(dx^(2))+3(dy)/(dx)=0

((d^(2)y)/(dx^(2)))^(2) + cos ((dy)/(dx)) = 0