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Beliebt Rechnen >

3y^{''}+5y^'-y=10

Lösung

3 y^{^{''}} + 5 y^{^{'}} - y = 10

Lösung

y = c_{1} e^{\frac{( - 5 + 37 ) t}{6}} + c_{2} e^{\frac{( - 5 - 37 ) t}{6}} - 10

Schritte zur Lösung

3 y^{''} (t) + 5 y^{'} (t) - y = 10

Solve linear ODE:

y = c_{1} e^{\frac{( - 5 + 37 ) t}{6}} + c_{2} e^{\frac{( - 5 - 37 ) t}{6}} - 10

y = c_{1} e^{\frac{( - 5 + 37 ) t}{6}} + c_{2} e^{\frac{( - 5 - 37 ) t}{6}} - 10

Graph

Beliebte Beispiele

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

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

-y^{''}+y^'+2y=72t+400sin(t)+36

- y^{^{''}} + y^{^{'}} + 2 y = 72 t + 400 sin (t) + 36

y^{''}-y^'+y=9sin(t)-21e^{2t}

y^{^{''}} - y^{^{'}} + y = 9 sin (t) - 21 e^{2 t}

y^{''}-y^'=9+e^x

y^{^{''}} - y^{^{'}} = 9 + e^{x}

y^{''}-32y=16cos(4x)

y^{^{''}} - 32 y = 16 cos (4 x)