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Beliebt Rechnen >

y^{'''}-5y^{''}+6y^'=7+7sin(x)

Lösung

y^{^{'''}} - 5 y^{^{''}} + 6 y^{^{'}} = 7 + 7 sin (x)

Lösung

y = c_{1} + c_{2} e^{2 x} + c_{3} e^{3 x} + \frac{7 x}{6} + \frac{7}{10} sin (x) - \frac{7}{10} cos (x)

Schritte zur Lösung

y^{'''} (x) - 5 y^{''} (x) + 6 y^{'} (x) = 7 + 7 sin (x)

Solve linear ODE:

y = c_{1} + c_{2} e^{2 x} + c_{3} e^{3 x} + \frac{7 x}{6} + \frac{7}{10} sin (x) - \frac{7}{10} cos (x)

y = c_{1} + c_{2} e^{2 x} + c_{3} e^{3 x} + \frac{7 x}{6} + \frac{7}{10} sin (x) - \frac{7}{10} cos (x)

Graph

Beliebte Beispiele

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

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

y^{''''}-y=13t+cos(t)

y^{^{''''}} - y = 13 t + cos (t)

y^{''}+4y=2e^{3x}

y^{^{''}} + 4 y = 2 e^{3 x}

y^{''}+25y=3csc^2(5t)

y^{^{''}} + 25 y = 3 csc^{2} (5 t)

(d^2y)/(dx^2)-y=x

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