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The differential equation for y = A cos ...

The differential equation for `y = A cos alpha x + B sin alpha x` Where A and B are arbitary constants is

A

`(d^(2)y)/(dx^(2)) - alpha^(2)y= 0`

B

`(d^(2)y)/(dx^(2)) + alpha^(2)y= 0`

C

`(d^(2)y)/(dx^(2)) + alphay= 0`

D

`(d^(2)y)/(dx^(2)) - alphay= 0`

Text Solution

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The correct Answer is:
B
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HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
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  2. If y=e^(-x)(Acosx+Bsinx), then y satisfies :

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  3. The differential equation for y = A cos alpha x + B sin alpha x Where ...

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  4. Solution of the differential equation xdy-ydx =0 represents

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  5. Integrating factor of the differential equation cos x dy/dx + y sin x ...

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  6. The solution of the differential equation y sec^(2) x dx + tan x . Sec...

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  7. The family y=ax+a^3 of curves is represented by the differential equat...

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  8. Integrating factor of x(dy)/(dx) -y = x^(4) -3x is

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  9. Solution of dy/dx-y =1, y(0) =1 is given by

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  10. The number of solutions of dy/dx = (y+1)/(x-1) when y(1) = 2 is

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  11. Which of the following is a second order differential equation?

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  12. Integrating factor of the differential equation (1-x^(2)) dy/dx- xy =1...

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  13. tan^(-1)x+tan^(-1)y = c is the general solution of the differential eq...

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  14. The differential equation y(dy)/(dx)+x=c represents

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  15. The general solution of e^x cos y dx - e^x sin y dy = 0 is :

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  16. The degree of the differential equation (d^(2)y)/dx^(2) + (dy/dx)^(3) ...

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  17. The solution of (dy)/(dx)+y=e^(-x),y(0)=0 is :

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  18. Find the general solution of the differential equation (dy)/(dx) = (1 ...

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  19. The integrating factor of (dy)/(dx)+y=(1+y)/x is

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  20. y=ae^(mx)+be^(-mx) satisfies which of the following differential equat...

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