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Find the equation of a curve passing thr...

Find the equation of a curve passing through the point `(1, 1)`, given that the segment of any tangent drawn to the curve between the point of tangency and the y-axis is bisected at the x-axis.

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The correct Answer is:
`y=x^(2)`
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MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-Revision Exercise
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  5. Solve : (dy)/(dx)= (2x+3y-4)^(2).

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  6. Solve: (dy)/(dx)+y=e^x

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  8. Solve: (dy)/(dx) = (y ( x + 2y))/(x ( 2x + y)) ,y(1) = 2

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  9. Solve each of the following initial value problem: (y^4-2x^3y)dx+(x^4-...

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  10. Solve each of the following initial value problem: x(x^2+3y^2)dx+y(y^2...

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  11. Solve each of the following initial value problems: (dy)/(dx)+(2x)/...

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  13. Find the particular solution of the differential equation (1+e^(2x))dy...

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