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Find the equation of a curve passing thr...

Find the equation of a curve passing through the point `(0,2)`. Given that at any point `(x,y)` on the curve, the product of the slope of its tanget and `y` coordinate of the point is equal to the `x` coordinate of the point.

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NEW JOYTHI PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE 9.4
  1. For each of the differential equations in (dy)/(dx)=sqrt(16-y^(2))

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  2. For each of the differential equations in (dy)/(dx)+y=2(yne2)

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  3. For each of the differential equations in sec^(2)xtanydx+sec^(2)ytan...

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  4. For each of the differential equations in (e^(x)+e^(-x))dy-(e^(x)-e^...

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  5. For each of the differential equations in (dy)/(dx)=(4+x^(2))(4+y^(2...

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  6. solve each of the differential equations in ylogydx-xdy=0

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  7. solve differential equations in x^(5)(dy)/(dx)=-y^(5)

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  8. For each of the differential equations in (dy)/(dx)+y=sinx

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  9. For each of the differential equations find solution satisfying the gi...

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  10. For each of the differential equations in find a particular solution s...

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  11. For each of the differential equations find solution satisfying the gi...

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  12. For each of the differential equations find solution satisfying the g...

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  13. Find the equation of a curve passing through the point (0,0) and whose...

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  14. For the differential equation xy(dy)/(dx)=(x+1)(y+1), find the solutio...

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  15. Find the equation of a curve passing through the point (0,2). Given th...

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  16. At any point (x,y) of a curve, the slope of the tangent is twice the s...

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  17. In a culture, the bacteria count is 1,00,000. The number is increased ...

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  18. The general solution of the differential equation (dy)/(dx)=e^(x+y) is

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