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D 2 Y D X 2 + 5 X ( D Y D X ) − 6 Y = Log X

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Question

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

\[\frac{d^2 y}{d x^2} + 5x\left( \frac{dy}{dx} \right) - 6y = \log x\]
In this differential equation, the order of the highest order derivative is 2 and its power is 1. So, the order of the differential equation is 2 and its degree is 1.
It is a linear differential equation.
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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.

  Is there an error in this question or solution?
Chapter 21: Differential Equations - Exercise 22.01 [Page 5]

APPEARS IN

R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 21 Differential Equations
Exercise 22.01 | Q 23 | Page 5

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