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Find the differential equation of all no...

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

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Since, the mainly of all non vertical line is y=mx+c, where `mne "tan"(pi)/(2)`
On differentiating w.r.t.x. , we get `(dy)/(dx)=m`
Again, differentiating w.r.t. x, we get `(d^(2)y)/(dx^(2))=0`
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NCERT EXEMPLAR-DIFFERENTIAL EQUATIONS -Differential Equations
  1. Find the solution of (dy)/(dx)=2^(y-x)

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

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  3. If dy/dx=e^(-2y) and y=0 when x=5, then the value of x for y=3 is

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

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  5. Solution of (dy)/(dx)+2x y=y is (a) ( b ) (c) y=c (d) e^( e ) (f) x...

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  6. Find the general solution of (dy)/(dx)+ay=e^(mx)

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

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  8. Solve ydx-xdy=x^(2)ydx.

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  9. Solve the differential equation (dy)/(dx)=1+x+y^(2)+xy^(2), when y=0 a...

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  10. Find the general solution of (x+2y^(3))(dy)/(dx)=y

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  11. If y(x) is a solution of the differential equation ((2+sinx)/(1+y))(dy...

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

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  13. Form the differential equation having y=(sin^(-1)x)^2+Acos^(-1)x+B ,w ...

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  14. Find the differential equation of all the circles which pass throug...

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  15. The equation of curve passing through origin and satisfying the differ...

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  16. Solve the following differential equation: (x^2dy)/(dx)=x^2+x y+y^2

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  17. Find the general solution of the following differential equation : (1...

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  18. Find the genergal solution of y^(2)dx+(x^(2)-xy+y^(2))dy=0

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

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  20. Solve 2(y+3)-x y(dy)/(dx)=0, given that y(1)=-2

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