The differential equation d2y-dx2 - dy-dx - y - x2 - 0 of the following type-

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Order of a Differential Equation

The different...

Question

The differential equation $\frac{d^{2} y}{d x^{2}} + \frac{d y}{d x} + y + x^{2} = 0$ of the following type:

linear

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homogeneous

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order two

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degree one

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\frac{d^{2} y}{d x^{2}} + \frac{d y}{d x} + y = 0

y = e^{x} (A cos x + B sin x)

A, B

$y = 4 s i n 3 x$ is a solution of the differential equation

[AI CBSE 1986]

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

\frac{d^{2} y}{d x^{2}} + 3 {[\frac{d y}{d x}]}^{2} = x^{2} l o g [\frac{d^{2} y}{d x^{2}}]

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