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Find the equation of a curve passing thr...

Find the equation of a curve passing through the origin given that the slope of the tangent to the curve at any point (x,y) is equal to the sum of the coordinate of the point.

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A N EXCEL PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
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  2. For each of the following differential equations, find a particular so...

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  3. Find the equation of a curve passing through the origin given that the...

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  4. Find the equation of a curve passing through the point (0,2) given tha...

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  5. Find the integrating factor of the differential equation xdy/dx-y=2x...

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  6. The intergrating factor of the differential equation (1 -y^2)(dx)/(dy...

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  7. Find the order and the degree of the following differential equation (...

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  8. Find the order and the degree of the following differential equation (...

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  9. Find the order and the degree of the following differential equation (...

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  10. Verify that the given fuction (implicit or explicit) is a solution of ...

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  11. For each of the exercises given below, verify that the given fuction (...

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  12. Verify that the given fuction (implicit or explicit) is a solution of ...

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  13. Verify that the given fuction (implicit or explicit) is a solution of ...

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  14. Form the differential equation representing the family of curves given...

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  15. Prove that x^2 - y^2 = c(x^2 + y^2)^2 is the general solution of the d...

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  16. Form the differential equation of the family of circles in the first q...

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  17. Find the general solution of the differential equation (dy)/(dx) + sqr...

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  18. Find the particular solution of the differential equation (dy)/(dx) + ...

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  19. Find the general solution of the differential equation (x+1)(dy)/(dx) ...

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  20. The population of a village increases continuously at the rate. propor...

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