Class 12

Math

Calculus

Differential Equations

Form the differential equation representing the family of curves $y=mx$, where, m is arbitrary constant.

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Let $y=f(x)$ be a curve passing through $(1,1)$ such that the triangle formed by the coordinate axes and the tangent at any point of the curve lies in the first quadrant and has area 2. Form the differential equation and determine all such possible curves.

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