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Find the particular solution ofthe diffe...

Find the particular solution ofthe differential equation `(d^2y)/(dx^2) = 6x` given that `y = 1` and `(dx)/(dy)= 2` when `x = 0`.

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SHARAM PUBLICATION-DIFFERENTIAL EQUATION-EXAMPLE
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  2. Solve x^2 (y - 1) dx + y^2 (x-1) dy = 0

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  3. Find the particular solution ofthe differential equation (d^2y)/(dx^2)...

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  4. Solve : (x+y)dy +(x-y)dx = 0.

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  5. Find the integrating factor of the differential equation. (1 + y^2) dx...

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  6. Solve: (dy)/(dx) = 1/(x^2 - 7x + 12)

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  7. Find the differential equation whose general solution is y = at + be^t

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  8. Find the differential equation whose general solution is ax^(2) + by =...

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  9. Solve (dy)/(dt) = t^(2).

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  10. Solve (dy)/(dt) = e^(2t )

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  11. Solve the following differential equations. (x+tan y)dy=sin 2y dx

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  12. Solve (dy)/(dx) = e^(2x+3y).

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  13. Solve (dy)/(dx) = e^-x.

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  14. Find the differential equation whose general solution is ax^(2) + by =...

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  15. Find the particular solution of the following differential equation : ...

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  16. Find an integrating factor of the differential equation (x + tan y ) d...

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  17. Write integrating factor of (1+y^2)dx+xdy=tan^-1ydy

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  18. Reduce the following to a linear differential equation x(dy)/(dx)+y=...

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  19. Write the order and degree of the following differential equation d^(2...

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  20. Find the differential equation whose general solution is y = at + be^t

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