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Form the differential equation corresponding to `y^2=m(a^2-x^2)` by eliminating parameters m and a

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To form the differential equation corresponding to the curve \( y^2 = m(a^2 - x^2) \) by eliminating the parameters \( m \) and \( a \), we will follow these steps: ### Step 1: Differentiate the given equation We start with the equation: \[ y^2 = m(a^2 - x^2) \] We differentiate both sides with respect to \( x \): ...
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RD SHARMA-DIFFERENTIAL EQUATION-Solved Examples And Exercises
  1. The normal to a given curve at each point (x ,y) on the curve passes t...

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

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  3. Form the differential equation corresponding to y^2=m(a^2-x^2) by eli...

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  4. Form the differential equation not containing the arbitrary constant...

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  5. if (log)a x=b for permissible values of a and x then identify the stat...

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  6. Form the differential equation corresponding to y^2=a(b-x)(b+x) by eli...

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  7. In each of the following differential equations indicate its degree...

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

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

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

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

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

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

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

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

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

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

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

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

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

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