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Beliebt Rechnen >

y^{''''}+2y^{''}+y=3t+10

Lösung

y^{^{''''}} + 2 y^{^{''}} + y = 3 t + 10

Lösung

y = c_{1} cos (t) + c_{2} sin (t) + t (c_{3} cos (t) + c_{4} sin (t)) + 3 t + 10

Schritte zur Lösung

y^{(4)} (t) + 2 y^{''} (t) + y = 3 t + 10

Solve linear ODE:

y = c_{1} cos (t) + c_{2} sin (t) + t (c_{3} cos (t) + c_{4} sin (t)) + 3 t + 10

y = c_{1} cos (t) + c_{2} sin (t) + t (c_{3} cos (t) + c_{4} sin (t)) + 3 t + 10

Graph

Beliebte Beispiele

y^{''}-5y^'+6y=(e^{2x})/(1+e^x)

y^{^{''}} - 5 y^{^{'}} + 6 y = \frac{e ^{2 x}}{1 + e ^{x}}

x^{''}+3x^'+2x=cos(t)

x^{^{''}} + 3 x^{^{'}} + 2 x = cos (t)

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

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

y^{''}+36y=36sec(6t)

y^{^{''}} + 36 y = 36 sec (6 t)

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

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