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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{- x} + c_{2} e^{- 2 x} + \frac{1}{10} sin (x) - \frac{3}{10} cos (x)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} e^{- 2 x} + \frac{1}{10} sin (x) - \frac{3}{10} cos (x)

y = c_{1} e^{- x} + c_{2} e^{- 2 x} + \frac{1}{10} sin (x) - \frac{3}{10} cos (x)

Graph

Beliebte Beispiele

(d^2y)/(dx^2)+ay^'-b=0

\frac{d ^{2} y}{d x ^{2}} + a y^{^{'}} - b = 0

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

l in e a r y^{^{''}} + y^{^{'}} - 6 y = 2 x

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

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

y^{''}+4y^'+5y=50x+13e^{3x}

y^{^{''}} + 4 y^{^{'}} + 5 y = 50 x + 13 e^{3 x}

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

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