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Determine the order and degree of each of the following differential equations. State also if they are linear or non-linear. (i)`({1+((dy)/(dx))^2}^(3//2))/((d^2y)/(dx^2))=k`

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RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. In each of the following differential equations indicate its degree,...

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  2. Form the differential equation of the family of curves represented ...

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  3. Determine the order and degree of each of the following differentia...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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