Statement I The solution of (ydx-xdy)cos...

Statement I The solution of `(ydx-xdy)cos((x)/(y))=ny^(2)dx " is " sin((x)/(y))=Ce^(nx)` Statement II Such type of differential equation can only be solved by the substitution x=vy.

A

Statement I is true ,and Statement II is the correct explanation for Statement I.

B

Statement I is true, Statement II is true and Statement II is not the correct explanation for Statment I

C

Statement I is true, Statement II is false.

D

Statement I is false, Statement II is true.

Verified by Experts

The correct Answer is:

d

Similar Questions

Explore conceptually related problems

The solution of dy/dx=cos(x+y)+sin(x+y) , is given by

The solution of ydx-xdy+(1+x^(2))dx+x^(2)siny dy=0, is given by

The solution of xdy+ydx+2x^(3)dx=0 is

A homogeneous differential equation of the from (dx)/(dy) = h((x)/(y)) can be solved by making the substitution.

The general solution of the differential equation (dy)/(dx) = e^(x + y) is

The general solution of the differential equation (y dx - x dy)/(y ) = 0 is

Solve the differential equation (tan^(-1)y - x)dy = ( 1 + y^(2))dx .

Solve the following pair of linear equations by the substitution method: x+y=14 x-y=4

Solve the following pair of linear equations by the substitution method: 3x-y=3 9x-3y=9

The solution of e^(x((y^(2)-1))/(y)){xy^(2)dy+y^(3)dx}+{ydx-xdy}=0 , is