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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

Order and degree of differential equationdd(d3ydx3)16= 9 is ______

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प्रश्न

Order and degree of differential equation`(("d"^3y)/("d"x^3))^(1/6)`= 9 is ______

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उत्तर

Order and degree of differential equation`(("d"^3y)/("d"x^3))^(1/6)`= 9 is 3,1

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पाठ 1.8: Differential Equation and Applications - Q.2

संबंधित प्रश्‍न

Determine the order and degree (if defined) of the differential equation:

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For the given below, verify that the given function (implicit or explicit) is a solution to the corresponding differential equation.

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(xy2 + x) dx + (y − x2y) dy = 0


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\[\frac{d^2 y}{d x^2} + 5x\left( \frac{dy}{dx} \right) - 6y = \log x\]

\[\left( \frac{dy}{dx} \right)^3 - 4 \left( \frac{dy}{dx} \right)^2 + 7y = \sin x\]

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Determine the order and degree (if defined) of the following differential equation:-

y" + (y')2 + 2y = 0


Determine the order and degree (if defined) of the following differential equation:-

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Determine the order and degree (if defined) of the following differential equation:-

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Determine the order and degree of the following differential equation:

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Choose the correct option from the given alternatives:

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Choose the correct alternative.

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Fill in the blank:

Order and degree of a differential equation are always __________ integers.


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The degree of the differential equation `sqrt(1 + (("d"y)/("d"x))^2)` = x is ______.


If m and n, respectively, are the order and the degree of the differential equation `d/(dx) [((dy)/(dx))]^4` = 0, then m + n = ______.


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The degree of the differential equation `[1 + (dy/dx)^2]^3 = ((d^2y)/(dx^2))^2` is ______.


Find the order and degree of the differential equation

`sqrt(1 + 1/(dy/dx)^2) = ((d^2y)/(dx^2))^(3/2)`


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