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How many arbitrary constants does the ge...

How many arbitrary constants does the general solution of the differential equation `(d^2y)/(dx^2) = sinx + cos x` contains?

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SHARAM PUBLICATION-DIFFERENTIAL EQUATION-EXAMPLE
  1. Write the order and degree of the differential equation ((dy)/(dx))^8 ...

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  2. Write the solution of (dy)/(dx)= 8x given y = 1 when x = 2.

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  3. How many arbitrary constants does the general solution of the differen...

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  4. Find the order and degree of a the differential equation ((dy)/(dx))^...

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  5. If p and q are respectively degree and order of the differential equat...

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  6. From the differential equation whose general solution is y=asint+be^t.

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  7. Find the particular solution of the following differential equation: (...

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  8. Solve the following differential equations (x+2y^3)(dy)/(dx)= y

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  9. Solve the following second order equations cosec x(d^(2)y)/(dx^2)=x

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  10. Find the differential equation representing family of curves given by ...

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  11. Obtain the general solution of the following differential equations. y...

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

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  13. Solve the following differential equations (x+2y^3)(dy)/(dx)= y

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  14. Solve x^2 (y - 1) dx + y^2 (x-1) dy = 0

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

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

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

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

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

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

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