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Beliebt Rechnen >

2y^{''}-2y^'-15y=0

Lösung

2 y^{^{''}} - 2 y^{^{'}} - 15 y = 0

Lösung

y = c_{1} e^{\frac{( 1 + 31 ) t}{2}} + c_{2} e^{\frac{( 1 - 31 ) t}{2}}

Schritte zur Lösung

2 y^{''} (t) - 2 y^{'} (t) - 15 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{( 1 + 31 ) t}{2}} + c_{2} e^{\frac{( 1 - 31 ) t}{2}}

y = c_{1} e^{\frac{( 1 + 31 ) t}{2}} + c_{2} e^{\frac{( 1 - 31 ) t}{2}}

Graph

Beliebte Beispiele

4y^{''}-784y=0,y(0)=0

4 y^{^{''}} - 784 y = 0, y (0) = 0

y^{'''}+5y^{''}-16y^'-170y=0

y^{^{'''}} + 5 y^{^{''}} - 16 y^{^{'}} - 170 y = 0

y^{^{''}} - 35 y = 0

y^{''''}-4y^{'''}-16y^{''}+64y^'=0

y^{^{''''}} - 4 y^{^{'''}} - 16 y^{^{''}} + 64 y^{^{'}} = 0

5y^{''}-7y^'+2y=0,y(0)=1,y^'(0)=-0.8

5 y^{^{''}} - 7 y^{^{'}} + 2 y = 0, y (0) = 1, y^{^{'}} (0) = - 0.8