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Find the general solution of the differ...

Find the general solution of the differential equation `(dy)/(dx)-y=cosx`

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To find the general solution of the differential equation \[ \frac{dy}{dx} - y = \cos x, \] we will follow these steps: ...
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NCERT ENGLISH-DIFFERENTIAL EQUATIONS-SOLVED EXAMPLES
  1. Find the equation of a curve passing through the point (2, 3), given ...

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  2. Find the equation of the curve passing through the point (1, 1) whose...

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  3. Find the general solution of the differential equation (dy)/(dx)-y=co...

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  4. Show that the family of curves for which the slope of the tangent at ...

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  5. Form the differential equation representing the family of ellipses ha...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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