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Beliebt Rechnen >

2y^{''}+9y^'-y=22

Lösung

2 y^{^{''}} + 9 y^{^{'}} - y = 22

Lösung

y = c_{1} e^{\frac{( - 9 + 89 ) t}{4}} + c_{2} e^{\frac{( - 9 - 89 ) t}{4}} - 22

Schritte zur Lösung

2 y^{''} (t) + 9 y^{'} (t) - y = 22

Solve linear ODE:

y = c_{1} e^{\frac{( - 9 + 89 ) t}{4}} + c_{2} e^{\frac{( - 9 - 89 ) t}{4}} - 22

y = c_{1} e^{\frac{( - 9 + 89 ) t}{4}} + c_{2} e^{\frac{( - 9 - 89 ) t}{4}} - 22

Graph

Beliebte Beispiele

y^{''}-2y^'+y=(3+5x)e^{2x}

y^{^{''}} - 2 y^{^{'}} + y = (3 + 5 x) e^{2 x}

y^{'''}-2y^{''}+y^'=2,y^{''}(0)=-1

y^{^{'''}} - 2 y^{^{''}} + y^{^{'}} = 2, y^{^{''}} (0) = - 1

y^{''}-2y^'+2y=tcos(2t)

y^{^{''}} - 2 y^{^{'}} + 2 y = t cos (2 t)

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

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

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

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