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

The order and degree of (dydx)3-d3ydx3+yex = 0 are ______.

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प्रश्न

The order and degree of `((dy)/(dx))^3 - (d^3y)/(dx^3) + ye^x` = 0 are ______.

पर्याय

  • 3, 1

  • 1, 3

  • 3, 3

  • 1, 1

MCQ
रिकाम्या जागा भरा
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उत्तर

The order and degree of `((dy)/(dx))^3 - (d^3y)/(dx^3) + ye^x` = 0 are 3, 1.

Explanation:

`(dy)/(dx) + x` = c

Highest order derivative

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

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1.8: Differential Equation and Applications - Q.1

संबंधित प्रश्‍न

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

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\[y = px + \sqrt{a^2 p^2 + b^2},\text{ where p} = \frac{dy}{dx}\]

\[e^\frac{dy}{dx} = x + 1 ; y\left( 0 \right) = 3\]

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Write the order of the differential equation whose solution is y = a cos x + b sin x + c e−x.


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\[\left( \frac{ds}{dt} \right)^4 + 3s\frac{d^2 s}{d t^2} = 0\]


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(y"')2 + (y")3 + (y')4 + y5 = 0


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y = x sin x              `xy'=y+xsqrt(x^2-y^2)`


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(y''')2 + 3y'' + 3xy' + 5y = 0


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The order of highest derivative occurring in the differential equation is called degree of the differential equation.


 Order of highest derivative occurring in the differential equation is called the degree of the differential equation


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Write the sum of the order and the degree of the following differential equation:

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The order and degree of the differential equation `sqrt((dy)/(dx)) - 4 (dy)/(dx) - 7x = 0` are respectively ______.


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