मराठी

D 3 Y D X 3 + D 2 Y D X 2 + D Y D X + Y Sin Y = 0

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प्रश्न

\[\frac{d^3 y}{d x^3} + \frac{d^2 y}{d x^2} + \frac{dy}{dx} + y \sin y = 0\]
बेरीज
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उत्तर

\[\frac{d^3 y}{d x^3} + \frac{d^2 y}{d x^2} + \frac{dy}{dx} + y \sin y = 0\]

In this differential equation, the order of the highest order derivative is 3 and its power is 1. So, the order of the differential equation is 3 and its degree is 1.

It is a non-linear differential equation, as the exponent of the dependent variable is not equal to 1 (by expanding \[y . \sin y\]).

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Notes

The answer given in the book has some error. The solution here is created according to the question given in the book.

  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 21: Differential Equations - Exercise 22.01 [पृष्ठ ५]

APPEARS IN

आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
पाठ 21 Differential Equations
Exercise 22.01 | Q 24 | पृष्ठ ५

व्हिडिओ ट्यूटोरियलVIEW ALL [3]

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