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Beliebt Rechnen >

x^{''}+x=cos(3t)

Lösung

x^{^{''}} + x = cos (3 t)

Lösung

x = c_{1} cos (t) + c_{2} sin (t) - \frac{1}{8} cos (3 t)

Schritte zur Lösung

x^{''} (t) + x = cos (3 t)

Solve linear ODE:

x = c_{1} cos (t) + c_{2} sin (t) - \frac{1}{8} cos (3 t)

x = c_{1} cos (t) + c_{2} sin (t) - \frac{1}{8} cos (3 t)

Graph

Beliebte Beispiele

y^{'''}-5y^{''}+6y^'=5+4sin(x)

y^{^{'''}} - 5 y^{^{''}} + 6 y^{^{'}} = 5 + 4 sin (x)

y^{''}+2y^'-4y=8x^2

y^{^{''}} + 2 y^{^{'}} - 4 y = 8 x^{2}

8y^{''}-32y=16cos(x)

8 y^{^{''}} - 32 y = 16 cos (x)

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

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

(d^2y)/(dx^2)+y=sin(2x)

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