Home
Class 12
MATHS
If u(x) and v(x) are two independent sol...

If u(x) and v(x) are two independent solutions of the differential equation `(d^(2)y)/(dx^(2))+b(dy)/(dx)+cy=0`, then additional solution(s) of the given differential equation is (are)-

A

`y=5u(x)+8v(x)`

B

`y=c_(1)[u(x)-v(x)}+c_(2)v(x),c_(1)` and `c_(2)` are arbitrary constants

C

`y=c_(1)u(x)v(x)+c_(2)(u(x))/(v(x)),c_(1)" and "c_(2)` are arbitrary constants

D

`y=u(x)v(x)`

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

The solution of the differential equation (dy)/(dx)=e^(2x+y) is

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

The general solution of the differential equation: (d^(2)y)/(dx^(2)) + 8(dy)/(dx) + 16y=0 is:

The solution of the differential equation (dy)/(dx)=e^(x-y)+1 is

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

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

The solution of the differential equation (x+2y^3)((dy)/(dx))=y is

A solution of the differential equation, ((dy) /( dx))^2- x ( dy ) /( dx ) + y=0

The solution of the differential equation y-x(dy)/(dx)=a(y^(2)+(dy)/(dx)) is -

The solution of the differential equation (dy)/(dx)=e^(x-y)+1 is -