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Beliebt Rechnen >

2y^{''}-13y^'+20y=0,y(0)=-2,y^'(0)=-11

Lösung

2 y^{^{''}} - 13 y^{^{'}} + 20 y = 0, y (0) = - 2, y^{^{'}} (0) = - 11

Lösung

y = - 4 e^{4 t} + 2 e^{\frac{5 t}{2}}

Schritte zur Lösung

2 y^{''} (t) - 13 y^{'} (t) + 20 y = 0

Solve linear ODE:

y = - 4 e^{4 t} + 2 e^{\frac{5 t}{2}}

y = - 4 e^{4 t} + 2 e^{\frac{5 t}{2}}

Graph

Beliebte Beispiele

4y^{''}+20y^'+29y=0,y(1)=8

4 y^{^{''}} + 20 y^{^{'}} + 29 y = 0, y (1) = 8

y^{''}-3y^'+αy=0,y(0)=1,y^'(0)=5

y^{^{''}} - 3 y^{^{'}} + α y = 0, y (0) = 1, y^{^{'}} (0) = 5

6y^{''}+y^'-2y=0,y(1)=2,y^'(1)= 1/6

6 y^{^{''}} + y^{^{'}} - 2 y = 0, y (1) = 2, y^{^{'}} (1) = \frac{1}{6}

x^{''}-0.1x^'+1.0025x=0

x^{^{''}} - 0.1 x^{^{'}} + 1.0025 x = 0

y^{^{'''}} + 6 y = 0