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Find the equation of a curve passing t...

Find the equation of a curve passing through the point (0, 1). If the slope of the tangent to the curve at any point (x, y) is equal to the sum of the x coordinate (abscissa) and the product of the x coordinate and y coordinate (ordinate) of that point.

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NCERT ENGLISH-DIFFERENTIAL EQUATIONS-SOLVED EXAMPLES
  1. Form the differential equation representing the family of ellipses ha...

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  2. Form the differential equation of the family of circles touching the ...

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  3. Form the differential equation representing the family of curves y = ...

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  4. Find the differential equation representing the family of curves y=asi...

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  5. Verify that the function y=e^(-3x)is a solution of the differential eq...

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  6. Verify that the functiony = a cos x + b sin x, where, a, b in Ris a ...

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  7. Find the order and degree, if defined, of each of the following differ...

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  8. Form the differential equation representing the family of parabolas h...

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

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  10. Solve the differential equation (tan^(-1)y-x)dy=(1+y^2)dx.

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  11. Verify that the function y=c1e^(ax ) """"cosb x+c2""""e^(ax)"" si...

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  12. Form the differential equation of the family of circles in the second...

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  13. Find the particular solution of the differential equation log ((dy)/(d...

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  14. Solve the differential equation (x dy-y dx)ysin(y/x)=(y dx+x dy)xcos(...

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  15. Find the general solution of the differential equation x(dy)/(dx)+2y=...

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  16. Find the general solution of the differential equation y dx-(x+2y^2)d...

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

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  18. Find the equation of a curve passing through the point (0, 1). If th...

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  19. Find the particular solution of the differential equation (dy)/(dx)=-...

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  20. Find the general solution of the differential equation (dy)/(dx)=(1+y...

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