# Solution of the differential equationwhere y(0)=0 and y’(0)=-2 is

1.  y=e-x-e2x+xe2x

2.  y=ex-e2x-xe2x

3.  y=e-x+e2x+(x/2)e2x

4.  y=e-x-e-2x-(x/2)e2x

4

y=e-x-e2x+xe2x

Explanation :
No Explanation available for this question

# The general solution of the differential equationis

1.   c1√(cos nx)+c2 √(sin nx)

2.  c1 cos nx+c2 sin nx

3.  c1 cos2nx+c2 sin2 nx

4.  c1 cos3 nx+c2 sin3 nx

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c1 cos nx+c2 sin nx

Explanation :
No Explanation available for this question

# The particular integral for the differential equationis

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

# Solution of the differential equationis

1.  y=(x3/6)+c1x2+c2

2.  y=(x3/6)+c1x+c2

3.  y=(x2/6)+c1x+c2

4.  y=(-x2/6)+c1x+c2

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y=(x3/6)+c1x+c2

Explanation :
No Explanation available for this question

# If f(x,y,z)=(x2+y2+z2)-1/2 thenis equal to

1.  Zero

2.  1

3.  2

4.  -3(x2+y2+z2)-5/2

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Zero

Explanation :
No Explanation available for this question

# Number of boundary conditions required to solve the differential equationis

1.  2

2.  0

3.  4

4.  1

4

2

Explanation :
No Explanation available for this question

# Solution for the following differential equation with boundary conditions y(0)=2 and y’(1)=-3 is

1.

2.

3.

4.

4

Explanation :
No Explanation available for this question

# For the equation,solution x(t) approaches which of the following values as t→∞

1.  0

2.  5/2

3.  5

4.  10

4

5/2

Explanation :
No Explanation available for this question

# Primitive of the differential equation (2xy4ey+2xy3+y)dx+(x2y4ey-x2y2-3x)dy=0,is

1.

2.

3.

4.  None of these

4

Explanation :
No Explanation available for this question

1.  Y=x(log x-1)

2.  Y=x log x-1

3.  Y=log x-1

4.  Y=x log x

4