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Form the differential equation represent...

Form the differential equation representing the family of curves given by `(x-a)^2 + 2y^2 = a^2`, where a is an arbitrary constant.

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PRADEEP PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. Verify that the given function (implicit or explicit) is a solution of...

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  2. Verify that the given function (implicit or explicit) is a solution of...

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

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

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

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  6. Find the general solution of the differential equation: ((dy)/(dx)) + ...

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  7. Show that the general solution of the differential equation ((dy)/(dx)...

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  8. Find the equation of the curve passing through the point (0,pi/4) whos...

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  9. Find the particular solution of the differential equation (1+e^(2x))dy...

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  10. Solve the differential equation(y e^(x/y)) dx = (x(e^(x/y)) + y^2) dy ...

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  11. Find a particular solution of the differential equation (x-y)(dx+dy) =...

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  12. Solve the differential equation: [e^(-2sqrt(x))/sqrt(x) -y/sqrt(x)](...

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  13. Find a particular solution of the differential equation (dy)/(dx) + y ...

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  14. Find the particular solution of the differential equation (x + 1)dy/dx...

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  15. The population of a village increases continuously at the rate proport...

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  16. The general solution of the differential equation (y dx - x dy)/y = 0 ...

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  17. The general solution of a differential equation of the type(dx)/(dy) +...

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  18. The general solution of the differential equation e^(x)dy + (ye^(x) + ...

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  19. Fill ups Order of the differential equation (d^3y)/(dx^3)-3(dy)/(dx)=0...

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  20. Fill ups Degree of a linear differential equation is always………….

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