The solution of the differential equation d y d x 2 - 3 x d y d x - 2 y - 8 is

The correct option is C y = 2 x ^ 2 + 4 By option VerificationPut dydx=4x substitute this in the equation #160; y=2x^2 4 ...

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Algebra of Derivatives

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Question

The solution of the differential equation ${(\frac{d y}{d x})}^{2} - 3 x (\frac{d y}{d x}) - 2 y = 8$ is

y = 2 x^{2} + 4

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y = 2 x^{2} - 4

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y = 2 x + 4

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y = 2 x - 4

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y = e^{- 2 x}

y^{''} + y^{'} - 2 y = 0

The solution of the differential equation $x \frac{d y}{d x} + y = x^{2} + 3 x + 2$ is

2 x - y + 2 z = 2

x - 2 y - z = - 4, x + y + λ z = 4

λ

\frac{d y}{d x} = - (\frac{x - 2 y + 5}{2 x - y + 4})

C

y = y (x)

\frac{d y}{d x} + y tan x = 2 x + x^{2} tan x, x \in (- \frac{π}{2}, \frac{π}{2})

y (0) = 1.

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