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Solve the differential equation dy/dx + ...

Solve the differential equation `dy/dx + y/x = y^2/x^2`

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$$ \begin{aligned} &\frac{d y}{d x}+\frac{y}{x}=\frac{y^{2}}{x^{2}} \\ &\Rightarrow \frac{d y}{d x}=\frac{y^{2}-x y}{x^{2}} \quad \ldots \text { (1) } \end{aligned} $$ It is a homogeneous differential eqn. Put `y=v x` ...
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RD SHARMA-DIFFERENTIAL EQUATION-Solved Examples And Exercises
  1. Solve the differential equation: (1+y^2)dx=(tan^(-1)y-x)dy

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  2. Solve the following differential equation: x\ (e^(2y)-1)dy+(x^2-1)e^y ...

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  3. Solve the differential equation dy/dx + y/x = y^2/x^2

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  4. Solve the following differential equation: (x+y-1)dy=(x+y)dx

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  5. Solve the following differential equations: (dy)/(dx)=ytanx-2sinx

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  6. Solve the following differential equation: (dy)/(dx)-ytanx=e^xsecx

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  7. Solve the following differential equation: (x^2+1)dy+(2y-1)dx=0

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  8. Solve the differential equation: (2a x+x^2)\ (dy)/(dx)=a^2+2a x

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  9. Solve the following differential equation: x^2dy+(x^2-x y+y^2)dx=0

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  10. Solve the differential equation: (dy)/(dx)+2y=sin\ 3x

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  11. Solve the differential equation: (dy)/(dx)+5y=cos4x

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  12. Solve the differential equation: cos^2x(dy)/(dx)+y=tanx

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  13. Solve the differential equation: (i) (1+y^2) + ( x - e^(tan^-1 y) ) d...

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  14. Solve the differential equation: (dy)/(dx)+\ ytanx=x^ncosx ,\ n!=-1

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

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

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  17. Find the general solution of the differential equations (dy)/(dx)=...

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  18. Find the general solution of the differential equations (dy)/(dx)=...

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  19. Find the general solution of the differential equations (dy)/(dx)=...

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  20. Find the general solution of the differential equations frac{dy}{dx...

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