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Form a Differential Equation Representing the Given Family of Curves by Eliminating Arbitrary Constants a and B. Y = E2x (A + Bx) - Mathematics

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प्रश्न

Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b.

y = e2x (a + bx)

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उत्तर

y = e2x (a + bx) ...(1)

Differentiating both sides with respect to x, we get:

This is the required differential equation of the given curve.

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अध्याय 9: Differential Equations - Exercise 9.3 [पृष्ठ ३९१]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 9 Differential Equations
Exercise 9.3 | Q 4 | पृष्ठ ३९१

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