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Beliebt Rechnen >

(D^2+3D+2)y=sin(2x)

Lösung

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

Lösung

y = c_{1} e^{- x} + c_{2} e^{- 2 x} - \frac{1}{20} sin (2 x) - \frac{3}{20} cos (2 x)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} e^{- 2 x} - \frac{1}{20} sin (2 x) - \frac{3}{20} cos (2 x)

y = c_{1} e^{- x} + c_{2} e^{- 2 x} - \frac{1}{20} sin (2 x) - \frac{3}{20} cos (2 x)

Graph

Beliebte Beispiele

y^{''}-3y^'+2y=11e^{3x},y(0)=e^x

y^{^{''}} - 3 y^{^{'}} + 2 y = 11 e^{3 x}, y (0) = e^{x}

y^{''}+16y=e^{4t}+9cos(2t)

y^{^{''}} + 16 y = e^{4 t} + 9 cos (2 t)

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

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

(d^2y)/(dx^2)-4y^'-12y=2x+6

\frac{d ^{2} y}{d x ^{2}} - 4 y^{^{'}} - 12 y = 2 x + 6

y^{'''}-3y^{''}+4y=4-e^{-3x}

y^{^{'''}} - 3 y^{^{''}} + 4 y = 4 - e^{- 3 x}