Geometric and physical applications

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Problem: Write the differential equation of the hyperbola \( x^{2}-y^{2}=2 a x \).

8.1.4.4 Geometric and physical applications

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Problem: Write a differential equation of the family of curves, in which the segment of any tangent, closed between the coordinate axes, is divided by the tangent point \( M(x, y) \) in relation to \( |A M|:|M B|=2: 1 \), where \( A \) is the point of intersection of the tangent with the \( O y \) axis, \( B \) is the point of intersection with the \( O x \) axis. clip2net.com

8.1.4.5 Geometric and physical applications

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Problem: Using the method of isocline make the approximate family of integral curves of the equation \( y^{\prime}=x+y \). clip2net.com

8.1.4.6 Geometric and physical applications

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