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For the differential equation, find a pa...

For the differential equation, find a particular solution satisfying the given condition: `(x^3 + x^2+x+1) (dy)/(dx) = 2x^2 + x, y = 1` when `x = 0`

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PRADEEP PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. For the differential equation, find the general solution: (dy)/(dx) = ...

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  2. For the differential equation, find the general solution:e^x tany dx +...

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  3. For the differential equation, find a particular solution satisfying t...

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  4. For the differential equation, find a particular solution satisfying t...

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  5. Find a particular solution satisfying the given condition: cos((dy)/(d...

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  6. Find a particular solution satisfying the given condition: (dy)/(dx)=y...

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  7. Find the equation of a curve passing through the points (0,0) and whos...

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  8. For the differential equation xy (dy)/(dx) = (x+2)(y+2), find the solu...

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  9. Find the equation of a curve passing through the point (0, –2) given t...

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  10. At any point (x, y) of a curve, the slope of the tangent is twice the ...

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  11. The volume of spherical balloon being inflated changes at a constant r...

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  12. In a bank, principal increases continuously at the rate of r% per year...

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  13. In a bank, principal increases continuously at the rate of 5% per year...

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  14. In a culture, the bacteria count is 1,00,000. The number is increased ...

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  15. The general solution of the differential equation (dy)/(dx) = e^(x+y) ...

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  16. Show that the given differential equation is homogeneous and solve it:...

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  17. Show that the given differential equation is homogeneous and solve it:...

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  18. Show that the given differential equation is homogeneous and solve it:...

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  19. Show that the given differential equation is homogeneous and solve it:...

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  20. Show that the given differential equations are homogeneous and solve t...

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