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Find the differential equation of All non-vertical lines in a plane.

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equation of all non-vertical lines is `y=m x+C`
By differentiating, we get
`frac{d y}{d x}=m` by differentiating again we get,
`frac{d^{2} y}{d x^{2}}=0 `
or ` frac{d^{2} y}{d x^{2}}=0 `
or ` y_{2}=0`
`
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RD SHARMA-DIFFERENTIAL EQUATION-Solved Examples And Exercises
  1. Determine the order and degree of each of the following differentia...

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  2. Show that the differential equation that represents the family of al...

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  3. Find the differential equation of All non-vertical lines in a plane.

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

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  5. Solve the following differential equations: (dy)/(dx)+y cotx=x^2cotx+2...

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  6. Solve the following differential equations: (dy)/(dx)+(4x)/(x^2+1)y+1/...

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  7. Solve the following differential equations: x(dy)/(dx)-y=(x-1)e^x

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  8. Solve each of the following initial value problems sqrt(1-y^2)dx=...

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  9. Solve the following differential equations: x(dy)/(dx)+y=x e^x

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  10. If y(t) is a solution of (1+t)(dy)/(dt)-t y=1a n dy(0)=-1 then show ...

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  11. Solve: (x+2y^3)dy=ydxdot

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  12. Solve each of the following initial value problems: x(dy)/(dx...

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  13. Solve each of the following initial value problems: (dy)/(dx)+(2x)/(...

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  14. Solve the following differential equations: (2x-10 y^3)(dy)/(dx)+y=0

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  15. Solve the following differential equations: (dy)/(dx)+y cotx=x^2cotx+2...

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  16. Solve the following differential equations: (dy)/(dx)+ycosx=sinxcosx

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  17. Solve the following differential equations: (x+tany)dy=sin2ydx

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  18. Solve the following differential equations: (dy)/(dx)-y= xe^x

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  19. Solve the following differential equations: (1+x^2)(dy)/(dx)-2x y=(x^2...

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  20. The surface are of a balloon being inflated changes at a constant r...

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