Complex Variables and Partial Differential Equations (3140610) MCQs

MCQs of First order partial differential equations

Showing 11 to 15 out of 15 Questions
11.

The general solution of non-linear partial differential equation p2+q2=1, where p=zx & q=zy is _____ .

(a)

z=ax±1-a2 y+b

(b)

z=ax±a y+b

(c)

z=ax±ay+b

(d)

none of these

Answer:

Option (a)

12.

The general solution of non-linear partial differential equation p-x=q-y, where p=zx & q=zy is _____ .

(a)

z=x+a2 y+a2+b

(b)

z=x+a2+y+a2+b

(c)

z=x+a+y+a+b

(d)

none of these

Answer:

Option (b)

13.

The general solution of non-linear partial differential equation z=px+qy+pq, where p=zx & q=zy is _____ .

(a)

z=ax2+by+ab

(b)

z=ax+by2+ab

(c)

z=ax2+by2+ab

(d)

z=ax+by+ab

Answer:

Option (d)

14.

Eliminating the arbitrary function from z=fyx , then the partial differential equation formed is _____ .

(a)

px+qy=1

(b)

px+qy=0

(c)

px-qy=1

(d)

px-qy=0

Answer:

Option (b)

15.

Eliminating arbitrary constants a, b and c from z=ax+by+ct , the partial differential equation formed is _____ .

(a)

z=x zx+y zy+t zt

(b)

z=x zx-y zy-t zt

(c)

z=x zxy zyt zt

(d)

none of these

Answer:

Option (a)

Showing 11 to 15 out of 15 Questions