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Beliebt Rechnen >

y^{''}+9y=2e^{3t}+2cos(2t)

Lösung

y^{^{''}} + 9 y = 2 e^{3 t} + 2 cos (2 t)

Lösung

y = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{1}{9} e^{3 t} + \frac{2}{5} cos (2 t)

Schritte zur Lösung

y^{''} (t) + 9 y = 2 e^{3 t} + 2 cos (2 t)

Solve linear ODE:

y = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{1}{9} e^{3 t} + \frac{2}{5} cos (2 t)

y = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{1}{9} e^{3 t} + \frac{2}{5} cos (2 t)

Graph

Beliebte Beispiele

(d^2y}{dx^2}-2(dy)/(dx)+y=\frac{e^x)/x

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

(d^2y)/(dx^2)+2(dy)/(dx)+4y=cos(4x)

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

5y^{''}-40y^'+35y=26x

5 y^{^{''}} - 40 y^{^{'}} + 35 y = 26 x

y^{''}+13y=4e^{9x}

y^{^{''}} + 13 y = 4 e^{9 x}

(D^2+4D-12)y=sin^2(x)

(D^{2} + 4 D - 12) y = sin^{2} (x)