Complex Variables and Partial Differential Equations (3130005) MCQs

MCQs of Higher Order Partial Differential Equation

Showing 1 to 10 out of 14 Questions
1.

The general solution of P.D.E. 2zx2-2zxy=0 is _____.

(a)

z=f1y+x f2y

(b)

z=f1y+x f2y-x

(c)

z=f1y+ f2y+x

(d)

none of these

Answer:

Option (c)

2.

The particular integral (P.I.) of P.D.E. D2+DD'-2D'2z=5ex+2y is _____.

(a)

-5ex+2y

(b)

5ex+2y

(c)

-3ex+2y

(d)

-ex+2y

Answer:

Option (d)

3.

The particular integral (P.I.) of P.D.E. D2-3DD'+2D'2z=cosx+2y is _____.

(a)

16 cosx+2y

(b)

-16 cosx+2y

(c)

13 cosx+2y

(d)

-13 cosx+2y

Answer:

Option (d)

4.

The second order P.D.E. 42zt2-92ztx+52zx2=0 is _____.

(a)

elliptic

(b)

parabolic

(c)

hyperbolic

(d)

none of these

Answer:

Option (c)

5.

The second order P.D.E. 2zt2+22ztx+22zx2=0 is _____.

(a)

parabolic

(b)

elliptic

(c)

hyperbolic

(d)

none of these

Answer:

Option (b)

6.

The general solution of P.D.E. 2zx2+2zy2=0 is _____.

(a)

z=f1y+x+f2y-x

(b)

z=f1y+i x+f2y-i x

(c)

z=f1y+i x+x f2y-i x

(d)

none of these

Answer:

Option (b)

7.

The general solution of P.D.E. 2zx2-22zxy+2zy2=0 is _____ .

(a)

z=f1y+x+f2y+x

(b)

z=f1y+x+f2y-x

(c)

z=f1y+x+x f2y+x

(d)

z=f1y+2x+f2y-2x

Answer:

Option (c)

8.

The general solution of P.D.E. 2zx2+42zy2=0 is _____.

(a)

z=f1y+2ix+f2y-2ix

(b)

z=f1y+2ix+x f2y+2ix

(c)

z=f1y+2x+f2y-2x

(d)

none of these

Answer:

Option (a)

9.

The particular integral (P.I) of P.D.E. 2zx2+42zy2=sinx+y is _____.

(a)

-cosx+y5

(b)

sinx+y5

(c)

-sinx+y3

(d)

-sinx+y5

Answer:

Option (d)

10.

The solution of P.D.E. 2zy2=6x3y is _____.

(a)

z=x3y3+y ϕ1x+ϕ2x

(b)

z=x3y3+ϕ1x+ϕ2x

(c)

z=y3+y ϕ1x+ϕ2x

(d)

none of these

Answer:

Option (a)

Showing 1 to 10 out of 14 Questions