differential equation and application -quiz 2

with the usual notation the differential equation 2 r + 5 s + 2 t = 0 is same as .....................

Charpit's method gives...................

• solutions to first-order partial differential equations.

• solutions to linear algebraic equations.

• numerical approximations for integrals.

• solutions to second-order differential equations.

• The family of straight lines passing through the origin

• The family of circles passing through the origin

• the family of straight lines not passing through the origin

• none of the above

The auxiliary equation of the partial differential equation 2p+3q = 1 is

• none of the above

The partial differential equation by eliminating the arbitrary constants a and b from

z = axy + b is........................

A solution obtained by giving particular values to the arbitrary constants in a complete integrals is called............................

• complete integral

• singular integral

• particular integral

• general integral

what is the complementary function of (D²+1) y = x

• a cos x + b sin x

• a cos 2x + b sin 2x

• axe^3x+be^3x

The general solution of p + q = 1 is ...............

• none

Say True or False:

A family of curves that intersect each curve of the given family orthogonally is said to be the family of orthogonal trajectories.

• true

• false