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CBSE Class 12 · 2010 · Differential EquationsVery Short Answer

What is the degree of the following differential equation?

5 x (\frac{d y}{d x})^{2} - \frac{d ^{2} y}{d x ^{2}} - 6 y = lo g x

Answer: 1

Solution

The highest-order derivative is

\frac{d ^{2} y}{d x ^{2}}

. The equation is a polynomial in the derivatives, and the power of

\frac{d ^{2} y}{d x ^{2}}

is

1

.

degree = 1

CBSE Class 12 Board · 2010 · Subjective

Practise more: all CBSE board PYQs on Differential Equations →

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