If y=1+cos x and y=1+sin x solutions of the differential equation d2y/dx2+y=1,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

Y=1+cos x+sin x

Explanation :
No Explanation available for this question

Soluation of the differential equation where y(0)=0 and y’(0)=-2 is

1.  Y=e-x-e2x+xe2x

2.  Y=ex-e-2x-xe2x

3.  Y=e-x+e2x+x/2e2x

4.  Y=ex-e-2x-x/2e2x

4

Y=e-x-e2x+xe2x

Explanation :
No Explanation available for this question

The general solution of the differential equation d2y/dx2+n2y=0 is

1.

2.  C1cos nx +C2sin nx

3.  C1cos2nx+C2sin2nx

4.  C1cos3nx+C2sin3nx

4

C1cos nx +C2sin nx

Explanation :
No Explanation available for this question

The particular integral for the differential equation d2y/dx2-5dy/dx+6y=e3x is

1.  Xe-x

2.  X2e-x

3.  (x-1)e3x

4.  (x-2)e4x

4

(x-1)e3x

Explanation :
No Explanation available for this question

When x5+x4+5x2-3 is divided by (x+2), the remainder will be

1.  0

2.  1

3.  2

4.  32

4

1

Explanation :
No Explanation available for this question

Pressure of a gas is inversely proportional to the volume. If pressure of oxygen is 84 atm when the volume is 1000 cm3, then volume when the pressure is 28 atm will be

1.  2500cm3

2.  3000cm3

3.  3333cm3

4.  235cm3

4

3000cm3

Explanation :
No Explanation available for this question

Soluation of the differential equation d2y/dx2=x is

1.  Y=x3/6+C1x2+C2

2.  Y=x3/6+C1x+C3

3.  Y=x2/6+C1x+C2

4.  Y=-x2/6+C1x+C2

4

Y=x3/6+C1x+C3

Explanation :
No Explanation available for this question

what value of ‘a’ will make x2-ax+25 a perfect square

1.  10

2.  50

3.  20

4.  -25

4

10

Explanation :
No Explanation available for this question

Particular Integral of d2y/dx2+dy/dx=x2+2x+4 is

1.  x2/3+4x

2.  x3/3+4x

3.  x3/3+4

4.  x3/3+4x2

4

x3/3+4x

Explanation :
No Explanation available for this question

What is the value of α3+β3 if α and β are roots of the equation: 2x2+7x+4=0

1.  49/4

2.  283/8

3.  511/8

4.  None of these

4