1.  2log(ex +1)

2.  log(e2x -1)

3.  2log(ex -1)

4.  log (e2x +1)

4

2log(e<sup>x</sup> -1)

Explanation :
No Explanation available for this question

# The solution of (x+y+1)dy/dx = 1 is

1.  y = (x+2) +cex

2.  y = (x+2) +cex

3.  x = -(y+2) +cey

4.  x = (y+2)2 +cey

4

x = -(y+2) +ce<sup>y</sup>

Explanation :
No Explanation available for this question

# The differential equation obtained by eliminating the arbitrary constants a and b from xy=aex + be-x is

1.  x d2y/dx2  +2 dy/dx -xy =0

2.  d2y/dx2  +2y dy/dx -xy =0

3.  x d2y/dx2  +2 dy/dx +xy =0

4.  d2y/dx2  + dy/dx -xy =0

4

x d<sup>2</sup>y/dx<sup>2&nbsp;</sup> +2 dy/dx -xy =0

Explanation :
No Explanation available for this question

# The area (in square unit) of the region enclosed by the curves y=x2 and y=x3 is

1.  1/12

2.  1/6

3.  1/3

4.  1

4

1/12

Explanation :
No Explanation available for this question

# The solution of dy/dx = y2 / (xy - x2) is

1.  ey/x = kx

2.  ey/x = ky

3.  ex/y = kx

4.  ex/y = kx

4

e<sup>y/x</sup> = ky<br>

Explanation :
No Explanation available for this question

# The solution of dy/dx +1  = e x+y is

1.  e -(x+y) + x+ c =0

2.  e -(x+y) - x+ c =0

3.  ex+y + x+ c =0

4.  e x+y - x+ c =0

4

e<sup> -(x+y)</sup> + x+ c =0

Explanation :
No Explanation available for this question

1.  2π

2.  π/2

3.  0

4.  -π

4

0

Explanation :
No Explanation available for this question

1.

2.

3.

4.

4

Explanation :
No Explanation available for this question

1.  x/(1-x2)

2.  x2/(1-x2)

3.  x/(1+x4)

4.  x/(1-x4)

4

x2/(1-x2)

Explanation :
No Explanation available for this question

1.  1

2.  1/2

3.  0

4.  -1

4