Home
Class 12
MATHS
Statement I Integral curves denoted by t...

Statement I Integral curves denoted by the first order linear differential equation `(dy)/(dx)-(1)/(x)y=-x` are family of parabolas passing throught the origin.
Statement II Every differential equation geomrtrically represents a family of curve having some common property.

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 the correct explanation for Statment I

C

Statement I is true, Statement II is false.

D

Statement I is false, Statement II is true.

Text Solution

Verified by Experts

The correct Answer is:
d
Promotional Banner

Similar Questions

Explore conceptually related problems

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

The differential equation corresponding to the family of curves y=e^x (ax+ b) is

Find the differential equation whose solution represents the family : c (y + c)^2 = x^3

Find the differential equation whose solution represents the family y=ae^(3x)+be^(x) .

The order of the differential equation 2x^(2) (d^(2)y)/(dx^(2))-3(dy)/(dx) + y = 0 is

Find the general solution of the differential equation (dy)/(dx) = (x+1)/(2 - y), (y ne 2) .

The curve satisfying the differential equation (dy)/(dx)=(y(x+y^(3)))/(x(y^(3)-x)) and passing through (4,-2) is

Form the differential equation of the family of parabolas having vertex at origin and axis along positive y - axis.

For the differential equation xy(dy)/(dx) = (x + 2)( y + 2) , find the solution curve passing through the point (1, -1).