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CBSE Class 12 · 2013 · Differential EquationsVery Short Answer

Write the degree of the differential equation

x^{3} (\frac{d ^{2} y}{d x ^{2}})^{2} + x (\frac{d y}{d x})^{4} = 0

.

Answer: 2

Solution

The highest-order derivative is

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

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

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

is raised is

2

.

degree = 2

CBSE Class 12 Board · 2013 · Subjective

Practise more: all CBSE board PYQs on Differential Equations →

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