Determine the order and degree of the following differential equation: dydxdydxyxd2ydx2+5dydx+y=x3 - Mathematics and Statistics

Question

Determine the order and degree of the following differential equation:

$\frac{d^{2} y}{{dx}^{2}} + 5 \frac{dy}{dx} + y = x^{3}$

Sum

Solution

The given D.E. is

$\frac{d^{2} y}{{dx}^{2}} + 5 \frac{dy}{dx} + y = x^{3}$

This D.E. has highest order derivative $\frac{d^{2} y}{{dx}^{2}}$ with power 1.

∴ the given D.E. is of order 2 and degree 1.

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Order and Degree of a Differential Equation

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Chapter 6: Differential Equations - Miscellaneous exercise 2 [Page 216]

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Balbharati Mathematics and Statistics 2 (Arts and Science) [English] 12 Standard HSC Maharashtra State Board

Chapter 6 Differential Equations
Miscellaneous exercise 2 | Q 1.1 | Page 216

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Determine the order and degree of the following differential equation: dydxdydxyxd2ydx2+5dydx+y=x3 - Mathematics and Statistics

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