For d2y-dx2-4dy-dx-3y-3e2x- the particular integrals is

Given the differential equation nbsp; nbsp; nbsp; nbsp; d^2ydx^2+4dydx+3y=3e^2x P.I. = 31(D^2+4D+3)e^2x nbsp; nbsp; nbsp;=312^2+4.2+3e^2x=31 ...

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Non-Homogeneous Linear Differential Equations (Methods for finding PI for e^(ax))

For d2y/dx2+4...

Question

For $\frac{d^{2} y}{d x^{2}} + 4 \frac{d y}{d x} + 3 y = 3 e^{2 x},$ the particular integrals is

\frac{1}{15} e^{2 x}

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\frac{1}{5} e^{2 x}

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3 e^{2 x}

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C_{1} e^{- x} + C_{2} e^{3 - x}

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Solution

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Similar questions

y = 3 e^{2 x} + 2 e^{3 x} .

\frac{d^{2} y}{d x^{2}} - 5 \frac{d y}{d x} + 6 y = 0

\frac{d^{2} y}{d x^{2}} + \frac{d y}{d x} = x^{2} + 2 x + 4

\frac{d^{2} y}{d x^{2}} - \frac{2 d y}{d x} = e^{2 x} s i n x

\frac{d x}{d y} + 3 x y = x^{4}

\frac{d^{2} y}{d x^{2}} + 4 \frac{d y}{d x} - b y = s i n x

\frac{d^{2} y}{d x^{2}} - \frac{d y}{d x} - 2 y = 3 e^{2 x}

y (0) = 0

y (0) = - 2

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