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Which of the Following Differential Equations Has Y = C1 Ex + C2 E–X as the General Solution? - Mathematics

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प्रश्न

Which of the following differential equations has y = c1 ex + c2 e–x as the general solution?

(A) `(d^2y)/(dx^2) + y = 0`

(B) `(d^2y)/(dx^2) - y = 0`

(C) `(d^2y)/(dx^2) + 1 = 0`

(D) `(d^2y)/(dx^2)  - 1 = 0`

 

 

उत्तर

This is the required differential equation of the given equation of curve.

Hence, the correct answer is B.

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

APPEARS IN

एनसीईआरटी Mathematics [English] Class 12
अध्याय 9 Differential Equations
Exercise 9.3 | Q 11 | पृष्ठ ३९१

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