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प्रश्न
The differential equation of the family of curves y = `"ae"^(2(x + "b"))` is ______.
पर्याय
`"dy"/"dx" - "y" = 0`
`"dy"/"dx" + "y" = 0`
`"dy"/"dx" + "2y" = 0`
`"dy"/"dx" - "2y" = 0`
MCQ
रिकाम्या जागा भरा
उत्तर
The differential equation of the family of curves y = `"ae"^(2(x + "b"))` is `underline("dy"/"dx" - "2y" = 0)`.
Explanation:
y = `"ae"^(2(x + "b"))` ...(i)
`=> "dy"/"dx" = 2"ae"^(2(x + "b"))`
`=> "dy"/"dx" = "2y"` ....[From(i)]
`=> "dy"/"dx" - 2"y"` = 0
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Differentiation
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?