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Find the equation of the curve whose slo...

Find the equation of the curve whose slope, at any point, (x, y) is `(y)/(x^(2))` and which stisfies the conditon y=1 when x=3.

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The correct Answer is:
`y = e^((x-3)/(3x))`
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AAKASH SERIES-DIFFERENTIAL EQUATIONS-Practice Exercise
  1. Find the equation of the curve whose slope, at any point, (x, y) is (y...

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  2. The degree and order of the differential equation [1+2((dy)/(dx))^(2)]...

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  3. The order and degree of the differential equation (1+3y(1))^(2//3) = 4...

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  4. Degree and order of differential equation y = x(dy)/(dx) + msqrt(1+((d...

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  5. The order and degree of ((d^(4)y)/(dx^(4)) + (d^(2)y)/(dx^(2)))^((5)/(...

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  6. The order degree of the D.E. corres ponding to the family of curve y =...

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  7. The degree and order of D.E. of the family of rectangular hyperbolas w...

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  8. Form the differential equation by eliminating the arbitrary constant f...

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  9. If the differential equation formed by eliminating a,b,c from the equa...

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  10. The differential equation of family of coaxal circles x^(2) + y^(2) + ...

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  11. The D.E. of the family of circles touching X-axis at (0,0) is (or) The...

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  12. The differential equations of hyperbolas with coordinate axis as asymp...

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  13. The differential equation of the family of hyperbolas having centres a...

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  14. The solution of (dy)/(dx) = e^(x+y)+ x^(2)e^(x^(3)+y) is

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  15. The solution of the differential equation (dy)/(dx) = (xy + y)/(yx + x...

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  16. The solution of ydx - xdy = xydx is

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  17. Solution of log ((dy)/(dx)) = 3x+4y, y(0) = 0 is

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  18. The solution of y = x(dy)/(dx) + a sqrt(1+((dy)/(dx))^(2)) is

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  19. (dy)/(dx) = xy + x + y +1 has the solution

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  20. The solution of (x^(2)-y^(2)x^(2))(dy//dx) +(y^(2)+x^(2)y^(2)) = 0 is

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  21. The solution of (x^(2)y^(3) +x^(2))dx + (y^(2)x^(3)+y^(2))dy = 0 is

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