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Find the differential equation of all th...

Find the differential equation of all the circles whose radius is one unit.

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`[1+(y')^(2)]^(2) = (y'')^(2), y' = (dy)/(dx), y'' = (d^(2)y)/(dx^(2))`
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AAKASH INSTITUTE-DIFFERENTIAL EQUATIONS-Try Yourself
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  12. Show that the differential equation x^(2)(dy)/(dx) = x^(2)+ xy + y^(2)...

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  14. Find the general solution of the equation x - y (dx)/(dy) = y + x (dx)...

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  15. Find the general solution of the equation (1+e^(y//x)) dy + e^(y//x) ...

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

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  17. Find the general solution of the differential equation (x-1)(dy)/(dx) ...

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  18. Solve the differential equation y^(2)(dx)/(dy) + x = 1.

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