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Show that y=A cos mx+Bsin mx is a soluti...

Show that `y=A cos mx+Bsin mx` is a solution of differential equation `(d^(2)y)/(dx^(2)+m^(2)y=0`

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The correct Answer is:
`y''+m^(2)y=0`
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MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE 9 (c) Short Answer Type Questions
  1. Represent the following families of curves by forming the correspondin...

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  2. Represent the following families of curves by forming the correspondin...

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  3. Represent the following families of curves by forming the correspon...

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  4. Represent the following families of curves by forming the correspon...

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  5. Represent the following families of curves by forming the correspon...

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  6. Represent the following families of curves by forming the correspon...

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  7. Represent the following families of curves by forming the correspon...

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  8. Form the differential equation representing the family of curves (y-b)...

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  9. Represent the following families of curves by forming the correspon...

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  10. Represent the following families of curves by forming the correspon...

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  11. Represent the following families of curves by forming the correspondin...

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  12. Show that the differential equation of which y=2(x^2-1)+c e^-x^2 is a ...

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  13. Form the differential equation of the family of lines making equal int...

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  14. Form the differential equation corresponding to y^2-2a y+x^2=a^2 by el...

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  15. Form a differential equation representing the given family of curves ...

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  16. From the differential equation of the family of curves y^(2)=m(a^(2)-x...

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  17. Show that y=A cos mx+Bsin mx is a solution of differential equation (d...

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  18. Eliminate 'a' and 'b' from : y= a cos x + b sin x.

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