# The differential equation which is linear is

1.

2.

3.

4.

4

Explanation :
No Explanation available for this question

# Pdx+x sin y dy=0 is exact,then P can be

1.  Sin y+cos y

2.  -sin y

3.  x2-cos y

4.  cos y

4

Sin y+cos y

Explanation :
No Explanation available for this question

# If f’(x)=tan-1x and f(0)=0,then f(i) is

1.  (π/4)+log 2

2.  (π/2)-log 2

3.  1/4(π-log 4)

4.  1/4(π+log 4)

4

1/4(π-log 4)

Explanation :
No Explanation available for this question

# The rate of which bacteria multiply is proportional to the instaneous number present,if the original number doubles in 2 hours,then it will trile in

1.

2.

3.

4.

4

Explanation :
No Explanation available for this question

# If f(D) y=0 be a linear differential equation with constant coefficients,then its auxiliary equation is

1.  f(m3)=0

2.  f(m)=0

3.  f(D-m)=0

4.  f(x)=0

4

f(m)=0

Explanation :
No Explanation available for this question

# The general solution of the linear differential equation (D4-81)y=0 is given by

1.  (C1+C2x)e3x+(C3+C4x)sin 3x

2.  (C1+C2x)e3x+(C3+C4x)e-3x+(C5+C6x)cos 3x+(C7+C8x)sin 3x

3.  C1e3x+C2e-3x+C3cos 3x+C4sin 3x

4.  C1e3x+C2e-3x+e3x(C3 cos x+C4 sin x)

4

C1e3x+C2e-3x+C3cos 3x+C4sin 3x

Explanation :
No Explanation available for this question

# P.I. of (D2-2D)y=ex sin x is

1.  (-1/2)ex sin x

2.  ex cos x

3.  (-1/2) ex cos x

4.   None of these

4

(-1/2)ex sin x

Explanation :
No Explanation available for this question

# General solution of the differential equation (D2-m2)y=0 is

1.  y=(C1+C2x)emx

2.  y=C1 sin x+C2 cos x

3.  y=C1 coshx+C2 sin hx

4.  none of these

4

y=C1 coshx+C2 sin hx

Explanation :
No Explanation available for this question

# If V be any function f x,then (1/f(D))xV is equal to

1.

2.

3.

4.

4

Explanation :
No Explanation available for this question

# If y=1+cos x and y=1+sin x solutions of the differential equation,then its solution will be also

1.  Y=2(1+cos x)

2.  Y=2+cos x+sin x

3.  Y=cos x-sin x

4.  Y=1+cos x+sin x

4