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Form the differential equation represent...

Form the differential equation representing the family of curves `y = a sin x + b cos x`, where a, b are the arbitrary constants.

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NAGEEN PRAKASHAN ENGLISH-DIFFERENTIAL EQUATIONS-Exercise 9b
  1. If A and B are arbitrary constants, then find the differential equatio...

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  2. Find the equation of a curve passing thorugh origin, if the slope of a...

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  3. If a and b are arbitrary constants, then find the differential equatio...

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  4. Find the differential equation corresponding to y=cx^(3), where c is a...

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  5. Find the differential equation corresponding to y=cx+c-c^(3), where c ...

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  6. Write the differential equation obtained eliminating the arbitrary ...

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  7. Find the differential equation of xy = ae^x + be^(-x).

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  8. For all values of A and B, find the differential equation of y=Asinx+B...

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  9. For all values of A and B, find the differential equation of y=Acospx+...

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  10. Form the differential equation representing the family of curves y = a...

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  11. For all values of A and B, find the differential equation of y=Ae^(3x)...

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  12. Find the differential equation corresponding to jy=a e^(2x)+b e^(-3x)+...

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  13. Find the differential equation of the circles represented by y = k(x +...

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  14. Find the differential equation of those circles whose centres lie on X...

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  15. Form the differential equation of the family of circles in the firs...

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  16. From the differential equation of the family of parabolas with focus a...

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  17. Form the differential equation of the family of circles touching th...

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