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Beliebt Rechnen >

y^{''}=7y^'+4y

Lösung

y^{^{''}} = 7 y^{^{'}} + 4 y

Lösung

y = c_{1} e^{\frac{( 7 + 65 ) t}{2}} + c_{2} e^{\frac{( 7 - 65 ) t}{2}}

Schritte zur Lösung

y^{''} (t) = 7 y^{'} (t) + 4 y

Solve linear ODE:

y = c_{1} e^{\frac{( 7 + 65 ) t}{2}} + c_{2} e^{\frac{( 7 - 65 ) t}{2}}

y = c_{1} e^{\frac{( 7 + 65 ) t}{2}} + c_{2} e^{\frac{( 7 - 65 ) t}{2}}

Graph

Beliebte Beispiele

y^{^{''}} + 96 y = 0

2y^{''}+3y^'+5y=0

2 y^{^{''}} + 3 y^{^{'}} + 5 y = 0

y^{''}+y^'+5/4 y=0,y(0)=0,y^'(0)=0

y^{^{''}} + y^{^{'}} + \frac{5}{4} y = 0, y (0) = 0, y^{^{'}} (0) = 0

(y^{''}+2y^')/(x+y)=0

\frac{y ^{^{''}} + 2 y ^{^{'}}}{x + y} = 0

y^{''}+ay=0,y(c)=0,y(0)=0

y^{^{''}} + a y = 0, y (c) = 0, y (0) = 0