मराठी

Form the Differential Equation of the Family of Parabolas Having Vertex at Origin and Axis Along Positive Y-axis. - Mathematics

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प्रश्न

Form the differential equation of the family of parabolas having vertex at origin and axis along positive y-axis.

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उत्तर

The equation of the parabola having the vertex at origin and the axis along the positive y-axis is:

`x^2 = 4ay`  ......(1)

This is the required differential equation.

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

APPEARS IN

एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
पाठ 9 Differential Equations
Exercise 9.3 | Q 7 | पृष्ठ ३९१

संबंधित 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`

 

 


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