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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{\frac{( 1 + 5 ) x}{2}} + c_{2} e^{\frac{( 1 - 5 ) x}{2}}

Schritte zur Lösung

y^{''} (x) - y^{'} (x) - y = 0

Solve linear ODE:

y = c_{1} e^{\frac{( 1 + 5 ) x}{2}} + c_{2} e^{\frac{( 1 - 5 ) x}{2}}

y = c_{1} e^{\frac{( 1 + 5 ) x}{2}} + c_{2} e^{\frac{( 1 - 5 ) x}{2}}

Graph

Beliebte Beispiele

y^{''}+(49)/(4/32)y=0

y^{^{''}} + \frac{49}{\frac{4}{32}} y = 0

y^{''}+9y=0,y^'(3pi)=9,y(0)=9

y^{^{''}} + 9 y = 0, y^{^{'}} (3 π) = 9, y (0) = 9

(y^{^{''}}) + 9 y = 0

2y^{''}+3y^'-2y=0,y(0)=1,y(0)=7

2 y^{^{''}} + 3 y^{^{'}} - 2 y = 0, y (0) = 1, y (0) = 7

2y^{''}+9y^'+8y=0,y(0)=5,y^'(0)=0

2 y^{^{''}} + 9 y^{^{'}} + 8 y = 0, y (0) = 5, y^{^{'}} (0) = 0