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Beliebt Rechnen >

(d^2y)/(dx^2)+2(dy)/(dx)+3y=27x

Lösung

\frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} + 3 y = 27 x

Lösung

y = e^{- x} (c_{1} cos (2 x) + c_{2} sin (2 x)) + 9 x - 6

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} + 3 y = 27 x

Solve linear ODE:

y = e^{- x} (c_{1} cos (2 x) + c_{2} sin (2 x)) + 9 x - 6

y = e^{- x} (c_{1} cos (2 x) + c_{2} sin (2 x)) + 9 x - 6

Graph

Beliebte Beispiele

9y^{''}+6y^'+8y=37sin(x)

9 y^{^{''}} + 6 y^{^{'}} + 8 y = 37 sin (x)

y^{''}-2y^'+y=(e^t)/t

y^{^{''}} - 2 y^{^{'}} + y = \frac{e ^{t}}{t}

ay^{''}+by^'+c=0

a y^{^{''}} + b y^{^{'}} + c = 0

y^{''}-y^'=(e^x)/((1+e^x))

y^{^{''}} - y^{^{'}} = \frac{e ^{x}}{( 1 + e ^{x} )}

y^{''}+2y^'+y=te^t

y^{^{''}} + 2 y^{^{'}} + y = t e^{t}