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Number of values of m in N for which y=e...

Number of values of `m in N` for which `y=e^(mx)` is a solution of the differential equation `D^(3)y-3D^(2)y-4Dy+12y=0` ,is

A

0

B

1

C

2

D

more than 2

Text Solution

Verified by Experts

The correct Answer is:
C
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MOTION-DIFFERENTIAL EQUATION -Exercise 1
  1. The solution of the differential equation dy/dx = (1+x)(1+ y^2) is -

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  2. The general solution of the differential equation, y^(prime)+yvarph...

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  3. The solution of the differential equation (x^(2)+y^(2))dx = 2xy dy is

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  4. The general solution of x(dy)/(dx)=y-xtan((y)/(x)) is . . . .

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  5. x(dy)/(dx)=y(logy-logx+1)

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  6. The solution of the differential equation x^(2) (dy)/(dx)= x^(2) + ...

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  7. The solution of the equation x(dy)/(dx) +3y=x is

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  8. The solution of the differential equation (1+y^(2)) dx = (tan^(-1) ...

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  9. The solution of the differential equation (2x -10 y^3) dy/dx +y =0 is

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  10. The solution of the differential equation dy/dx +y =cosx is -

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  11. The solution of the differential equation (dy)/(dx)+(y)/(x)=x^(2), is

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  12. Number of values of m in N for which y=e^(mx) is a solution of the dif...

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  13. The value of the constant 'm' and 'c' for which y = mx + c is a soluti...

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  14. The general solution of the differential equation dy/dx = (1-x)/y is a...

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  15. Solve sec^(2)x tany dx+sec^(2)y tanx dy=0

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  16. y log ydx-xdy=0

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  17. The solution of the DE x cos y dy = (x e ^(x) log x + e ^(x)) dx is

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  18. Find the orthogonal trajectories of xy=cdot

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  19. Which one of the following curves represents the solution of the initi...

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  20. Which of the following transformations reduce the differential equatio...

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