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Beliebt Rechnen >

y^{''}-y^'-2y=3x+6

Lösung

y^{^{''}} - y^{^{'}} - 2 y = 3 x + 6

Lösung

y = c_{1} e^{2 x} + c_{2} e^{- x} - \frac{3 x}{2} - \frac{9}{4}

Schritte zur Lösung

y^{''} (x) - y^{'} (x) - 2 y = 3 x + 6

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{- x} - \frac{3 x}{2} - \frac{9}{4}

y = c_{1} e^{2 x} + c_{2} e^{- x} - \frac{3 x}{2} - \frac{9}{4}

Graph

Beliebte Beispiele

y^{''}-4y=e^{2x}-2x

y^{^{''}} - 4 y = e^{2 x} - 2 x

y^{''}+y^'-2y=xe^x+1/(e^{2x)}

y^{^{''}} + y^{^{'}} - 2 y = x e^{x} + \frac{1}{e ^{2 x}}

y^{''}-2y^'+y=(e^x)/((1+x)(2+x))

y^{^{''}} - 2 y^{^{'}} + y = \frac{e ^{x}}{( 1 + x ) ( 2 + x )}

(d^2y)/(dx^2)-(dy)/(dx)-45y=e^{5x}

\frac{d ^{2} y}{d x ^{2}} - \frac{d y}{d x} - 45 y = e^{5 x}

(d^2x)/(dt^2)+36x=10sin(4t)

\frac{d ^{2} x}{d t ^{2}} + 36 x = 10 sin (4 t)