Class 12

Math

Calculus

Differential Equations

If log $(x_{2}+y_{2})=tan_{−1}(xy ),$then show that $dxdy =x−yx+y $

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Find the equation of a curve passing through the point (0, 2) given that the sum of the coordinates of any point on the curve exceeds the magnitude of the slope of the tangent to the curve at that point by 5.

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Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b.$y_{2}=a(b_{2}−x_{2})$

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