Differential equation,will have a solution of the form Where C1 and C2 are constants

1.  (C1+C2t)e-5t

2.  C1e-2t

3.  C1e-5t+C2e5t

4.  C1e-5t+C2e2t

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4
Correct Answer :

(C1+C2t)e-5t


Explanation :
No Explanation available for this question

Differential equation for the variation of the amount of salt x in a tank with time t is given bywhere x is in kg and t is in minutes.Assuming that there is no salt in the tank initially,the time(in min.)at which the amount of salt increases to 100 kg is

1.  10 ln 2

2.  20 ln 2

3.  50 ln 2

4.  100 ln 2

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4
Correct Answer :

20 ln 2


Explanation :
No Explanation available for this question

Solve the differential equation xdx+ydy+2(x2+y2)dx=0

1.  x2-y2=ce-4x

2.  x2+y2=ce+4x

3.  x2+y2=ce-4x

4.  x2-y2=ce4x

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4
Correct Answer :

x2+y2=ce-4x


Explanation :
No Explanation available for this question

The differential equationis

1.  First order and linear

2.  First order and non-linear

3.  Second order and linear

4.  Second order and non-linear

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4
Correct Answer :

Second order and non-linear


Explanation :
No Explanation available for this question

For the differential equationwith y(0)=1,the general solution is

1.  e5t

2.  e-5t

3.  5e-5t

4.  e√-5t

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4
Correct Answer :

e-5t


Explanation :
No Explanation available for this question

The necessary and sufficient for the differential equation of the from M(x,y) dx+N(x,y) dy=0 to be exact is

1.  M=N

2.  

3.  

4.  

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4
Correct Answer :


Explanation :
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Gradually varied flow is

1.  Steady uniform flow

2.  Steady non uniform flow

3.  Unsteady uniform flow

4.  Unsteady non uniform flow

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4
Correct Answer :

Steady non uniform flow


Explanation :
No Explanation available for this question

The differential equation y’’+(s3 sin x)5 y’+y=cos x3 is

1.  Homogeneous

2.  Nonlinear

3.  Second order linear

4.  Non-homogeneous with constant coefficients

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4
Correct Answer :

Second order linear


Explanation :
No Explanation available for this question

For the differential equation.f(x,y) (dy/dx)+g(x,y)=0 to be exact

1.  

2.  

3.  f=g

4.  

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4
Correct Answer :


Explanation :
No Explanation available for this question

The number of boundary conditions required to solve the following differential equationis/are

1.  2

2.  4

3.  -4

4.  1

View Answer  
4
Correct Answer :

2


Explanation :
No Explanation available for this question
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